US 8,858,227 B2Grant

System and method for positioning teeth

Issue Date:2014-10-14

•21 Claims

•7 Drawing Sheets

Abstract

Methods and apparatus fit a set of upper and lower teeth in a masticatory system by generating a computer representation of the masticatory system and computing an occlusion based on interactions in the computer representation of the masticatory system.

Metadata

Assignee

Align Technology, Inc.

Inventors

Muhammad Chishti
Andrew Beers

Application Information

Application Number:US 13/620,253

Filing Date:2012-09-14

Priority Date:1998-10-08

Art Unit:3732

Classifications

IPC:

A61C3/00A61C7/00A61C11/00A61C7/08A61C19/045

Patent Drawings (7 sheets)

Description

Cross-References to Related Applications

[0001] This application is a continuation of U.S. patent application Ser. No. 13/281,997, filed Oct. 26, 2011, which is a continuation of U.S. application Ser. No. 11/981,680, filed Oct. 31, 2007, now U.S. Pat. No. 8,070,487, which is a continuation of U.S. application Ser. No. 10/788,510, filed Feb. 27, 2004, now U.S. Pat. No. 7,331,783, which is a continuation of U.S. application Ser. No. 10/133,155, filed Apr. 26, 2002, now U.S. Pat. No. 6,786,721, which is a continuation of U.S. application Ser. No. 09/169,036, filed Oct. 8, 1998, now U.S. Pat. No. 6,450,807, the full disclosures of which are incorporated herein by reference.

Background of the Invention

[0002] The present invention is related generally to the field of orthodontics, and more particularly to a system and a method for gradually repositioning teeth.

[0003] A fundamental objective in orthodontics is to realign a patient's teeth to positions where the teeth function optimally and aesthetically. Typically, appliances such as braces are applied to the teeth of the patient by a treating orthodontist. Each appliance exerts continual forces on the teeth which gradually urge the teeth toward their ideal positions. Over a period of time, the orthodontist adjusts the appliances to move the teeth toward their final destination.

[0004] The process of attaching the braces to teeth is tedious and painful. Additionally, each visit to the orthodontist is time consuming and expensive. The process is further complicated by uncertainties in determining a final arrangement for each tooth. Generally, the final tooth arrangement is determined by the treating orthodontist who writes a prescription. Traditionally, the prescription is based on the orthodontist's knowledge and expertise in selecting the intended final position of each tooth and without a precise calculation of forces being exerted on the teeth when they contact each other.

Brief Summary of the Invention

[0005] The invention provides a method for fitting a set of upper and lower teeth in a masticatory system of a patient. The method generates a computer representation of the masticatory system of the patient; and determines an occlusion from the computer representation of the masticatory system.

[0006] Implementations of the invention include one or more of the following. The occlusion may be a static occlusion, which is determined by modeling an ideal set of teeth; automatically applying the ideal set of teeth to the computer representation of the masticatory system of the patient; and optimizing the position of the patient's teeth to fit the ideal set of teeth. The modeling step may select one or more arch forms specifying the ideal set of teeth. The applying step may include registering a model of the upper and lower teeth with a model of the masticatory system; simulating the motion of the jaws to generate contact data between the upper and lower teeth; and placing the tooth in a final position based on the contact data. The model may be registered using X-ray data, computed tomography data, or data associated with a mechanical model. The simulating step may apply kinematics to the model of the teeth or a constrained motion to the model of the tooth. The placing step may be based on a measure of undesirability to the contacts. The position of the tooth may be determined according to the measure of undesirability, such as by minimizing the measure of undesirability. The measure of undesirability may be a function of one or more of Peer Assessment Rating (PAR) metrics, distance-based metrics and shape-based metrics. The simulating step may provide a library of motions with protrusive motions, lateral motions, or tooth-guided motions. Physical forces may be applied to the patient's jaws. The computer representation of the masticatory system may be updated with new patient data. The new patient data may be used with the old data in applying a final position transform to the second teeth model. The matching step may compare correspondences between the first and second teeth models. The correspondences include feature correspondences. The final position transform may include information from a new prescription.

[0007] Other implementations include one or more of the following. The occlusion determining step includes determining one or more indices based on the tooth position; determining an optimality index from the indices; and setting the tooth according to the optimality index. The optimality determining step includes minimizing the optimality index. The indices may be based on a Peer Assessment Rating (PAR) index, a distance metric, or a shape metric. The shape metric may be derived from an arch. The indices may be based on an occlusional index or an orthodontic index. The setting of the teeth may be based on a correspondence of tooth features, including a correspondence of tooth cusps, tooth fossae, or tooth ridges. The optimality index may be optimized using one of simulated annealing technique, hill climbing technique, best-first technique and heuristics technique. The implementation may determine whether a tooth movement reduces the index. The tooth movement may be made along each major axis and may include rotations. The tooth position may be updated if the tooth movement reduces the index.

[0008] In a second aspect, a computer-implemented apparatus defines a fit between a set of upper and lower teeth in a masticatory system of a patient. The apparatus comprises instructions operable to cause a programmable processor to generate a computer representation of the masticatory system of the patient; and determining an occlusion from the computer representation of the masticatory system.

[0009] Implementations of this aspect include one or more of the following. The invention may determine a static occlusion through instructions to model an ideal set of teeth; automatically apply the ideal set of teeth to the computer representation of the masticatory system of the patient; and optimize the position of the patient's teeth to fit the ideal set of teeth. The occlusion determining instruction may also include instructions to: determine one or more indices based on the tooth position; determine an optimality index from the indices; and set the tooth according to the optimality index.

[0010] In another aspect, a system for defining a fit between a set of upper and lower teeth in a masticatory system of a patient includes a processor; a display device coupled to the processor; and a data storage device coupled to the processor, the data storage device storing instructions operable to cause the processor to generate a computer representation of the masticatory system of the patient and determine an occlusion from the computer representation of the masticatory system.

[0011] In another aspect, a system for generating one or more appliances for a patient includes a processor; a display device coupled to the processor; a data storage device coupled to the processor; a scanner coupled to the processor for providing data to model the masticatory system; means for defining a fit between a set of upper and lower teeth in a masticatory system of the patient; and a dental appliance fabrication machine coupled to the processor for generating the appliances in accordance with the fit of the teeth.

[0012] Advantages of the invention include one or more of the following. When a prescription or other final designation is provided, a computer model can be generated and manipulated to match the prescription. The prescription may be automatically interpreted in order to generate an image as well as a digital data set representing the final tooth arrangement.

Brief Description of the Drawings

[0013] FIG. 1 is an elevational diagram showing the anatomical relationship of the jaws of a patient.

[0014] FIG. 2A illustrates in more detail the patient's lower jaw and provides a general indication of how teeth may be moved by the methods and apparatus of the present invention.

[0015] FIG. 2B illustrates a single tooth from FIG. 2A and defines how tooth movement distances are determined.

[0016] FIG. 2C illustrates the jaw of FIG. 2A together with an incremental position adjustment appliance which has been configured according to the methods and apparatus of the present invention.

[0017] FIG. 3 is a block diagram illustrating a process for producing incremental position adjustment appliances.

[0018] FIG. 4 is a flow chart illustrating a process for optimizing a final placement of the patient's teeth.

[0019] FIG. 5 is a flow chart illustrating a process for performing functional occlusion on the patient's teeth.

[0020] FIG. 6 is a flow chart illustrating an optional process for incorporating midtreatment information to the final placement of the patient's teeth.

[0021] FIG. 7 is a block diagram illustrating a system for generating appliances in accordance with the present invention.

[0022] FIG. 8 shows an exemplary process for fitting the ideal teeth.

Detailed Description of the Invention

[0023] FIG. 1 shows a skull 10 with an upper jaw bone 22 and a lower jaw bone 20. The lower jaw bone 20 hinges at a joint 30 to the skull 10. The joint 30 is called a temporomandibular joint (TMJ). The upper jaw bone 22 is associated with an upper jaw 101, while the lower jaw bone 20 is associated with a lower jaw 100.

[0024] A computer model of the jaws 100 and 101 is generated, and a computer simulation models interactions among the teeth on the jaws 100 and 101. The computer simulation allows the system to focus on motions involving contacts between teeth mounted on the jaws. The computer simulation allows the system to render realistic jaw movements which are physically correct when the jaws 100 and 101 contact each other. The model of the jaw places the individual teeth in a treated position. Further, the model can be used to simulate jaw movements including protrusive motions, lateral motions, and “tooth guided” motions where the path of the lower jaw 100 is guided by teeth contacts rather than by anatomical limits of the jaws 100 and 101. Motions are applied to one jaw, but may also be applied to both jaws. Based on the occlusion determination, the final position of the teeth can be ascertained.

[0025] Referring now to FIG. 2A, the lower jaw 100 includes a plurality of teeth 102, for example. At least some of these teeth may be moved from an initial tooth arrangement to a final tooth arrangement. As a frame of reference describing how a tooth may be moved, an arbitrary centerline (CL) may be drawn through the tooth 102. With reference to this centerline (CL), each tooth may be moved in orthogonal directions represented by axes 104, 106, and 108 (where 104 is the centerline). The centerline may be rotated about the axis 108 (root angulation) and the axis 104 (torque) as indicated by arrows 110 and 112, respectively. Additionally, the tooth may be rotated about the centerline. Thus, all possible free-form motions of the tooth can be performed.

[0026] FIG. 2B shows how the magnitude of any tooth movement may be defined in terms of a maximum linear translation of any point P on a tooth 102. Each point P1 will undergo a cumulative translation as that tooth is moved in any of the orthogonal or rotational directions defined in FIG. 2A. That is, while the point will usually follow a nonlinear path, there is a linear distance between any point in the tooth when determined at any two times during the treatment. Thus, an arbitrary point P1 may in fact undergo a true side-to-side translation as indicated by arrow d1, while a second arbitration point P2 may travel along an arcuate path, resulting in a final translation d2. Many aspects of the present invention are defined in terms of the maximum permissible movement of a point P1 induced on any particular tooth. Such maximum tooth movement, in turn, is defined as the maximum linear translation of that point P1 on the tooth which undergoes the maximum movement for that tooth in any treatment step.

[0027] FIG. 2C shows one adjustment appliance 111 which is worn by the patient in order to achieve an incremental repositioning of individual teeth in the jaw as described generally above. The appliance is a polymeric shell having a teeth receiving cavity. This is described in U.S. application Ser. No. 09/169,276, filed Oct. 8, 1998, which claims priority from U.S. Pat. No. 5,975,893, which in turn claims priority from provisional application No. 60/050,352, filed Jun. 20, 1997 (collectively the “prior applications”), the full disclosures of which are incorporated by reference.

[0028] As set forth in the prior applications, each polymeric shell may be configured so that its tooth receiving cavity has a geometry corresponding to an intermediate or final tooth arrangement intended for the appliance. The patient's teeth are repositioned from their initial tooth arrangement to a final tooth arrangement by placing a series of incremental position adjustment appliances over the patient's teeth. The adjustment appliances are generated at the beginning of the treatment, and the patient wears each appliance until the pressure of each appliance on the teeth can no longer be felt. At that point, the patient replaces the current adjustment appliance with the next adjustment appliance in the series until no more appliance remains. Conveniently, the appliances are generally not affixed to the teeth and the patient may place and replace the appliances at any time during the procedure. The final appliance or several appliances in the series may have a geometry or geometries selected to overcorrect the tooth arrangement, i.e., have a geometry which would (if fully achieved) move individual teeth beyond the tooth arrangement which has been selected as the “final.” Such overcorrection may be desirable in order to offset potential relapse after the repositioning method has been terminated, i.e., to permit some movement of individual teeth back toward their precorrected positions. Overcorrection may also be beneficial to speed the rate of correction, i.e., by having an appliance with a geometry that is positioned beyond a desired intermediate or final position, the individual teeth will be shifted toward the position at a greater rate. In such cases, the use of an appliance can be terminated before the teeth reach the positions defined by the appliance.

[0029] The polymeric shell 111 can fit over all teeth present in the upper or lower jaw. Often, only certain one(s) of the teeth will be repositioned while others of the teeth will provide a base or an anchor region for holding the appliance 111 in place as the appliance 111 applies a resilient repositioning force against the tooth or teeth to be repositioned. In complex cases, however, multiple teeth may be repositioned at some point during the treatment. In such cases, the teeth which are moved can also serve as a base or anchor region for holding the repositioning appliance.

[0030] The polymeric appliance 111 of FIG. 2C may be formed from a thin sheet of a suitable elastomeric polymer, such as Tru-Tain 0.03 in, thermal forming dental material, available from Tru-Tain Plastics, Rochester, Minn. Usually, no wires or other means will be provided for holding the appliance in place over the teeth. In some cases, however, it will be desirable or necessary to provide individual anchors on teeth with corresponding receptacles or apertures in the appliance 111 so that the appliance can apply an upward force on the tooth which would not be possible in the absence of such an anchor.

[0031] FIG. 3 shows a process 200 for producing the incremental position adjustment appliances for subsequent use by a patient to reposition the patient's teeth. As a first step, an initial digital data set (IDDS) representing an initial tooth arrangement is obtained (step 202). The IDDS may be obtained in a variety of ways. For example, the patient's teeth may be scanned or imaged using X-rays, three dimensional X-rays, computer-aided tomographic images or data sets, or magnetic resonance images, among others. The teeth data may be generated by a destructive scanner, as described in the incorporated-by-reference U.S. application Ser. No. 09/169,276, filed Oct. 8, 1998.

[0032] The IDDS is then manipulated using a computer having a suitable graphical user interface (GUI) and software appropriate for viewing and modifying the images. More specific aspects of this process will be described in detail below.

[0033] Individual tooth and other components may be segmented or isolated in the model to permit their individual repositioning or removal from the digital model. After segmenting or isolating the components, the user will often reposition the tooth in the model by following a prescription or other written specification provided by the treating professional. Alternatively, the user may reposition one or more teeth based on a visual appearance or based on rules and algorithms programmed into the computer. Once the user is satisfied, the final teeth arrangement is incorporated into a final digital data set (FDDS) (step 204). The FDDS is used to generate appliances that move the teeth in a specified sequence. First, the centers of each tooth model may be aligned using a number of methods. One method is a standard arch. Then, the teeth models are rotated until their roots are in the proper vertical position. Next, the teeth models are rotated around their vertical axis into the proper orientation. The teeth models are then observed from the side, and translated vertically into their proper vertical position. Finally, the two arches are placed together, and the teeth models moved slightly to ensure that the upper and lower arches properly mesh together. The meshing of the upper and lower arches together is visualized using a collision detection process to highlight the contacting points of the teeth.

[0034] Based on both the IDDS and the FDDS, a plurality of intermediate digital data sets (INTDDSs) are defined to correspond to incrementally adjusted appliances (step 206). Finally, a set of incremental position adjustment appliances are produced based on the INTDDs and the FDDS (step 208).

[0035] In step 204, final positions for the upper and lower teeth in a masticatory system of a patient are determined by generating a computer representation of the masticatory system. An occlusion of the upper and lower teeth is computed from the computer representation; and a functional occlusion is computed based on interactions in the computer representation of the masticatory system. The occlusion may be determined by generating a set of ideal models of the teeth. Each ideal model in the set of ideal models is an abstract model of idealized teeth placement which is customized to the patient's teeth, as discussed below. After applying the ideal model to the computer representation, and the position of the teeth is optimized to fit the ideal model. The ideal model may be specified by one or more arch forms, or may be specified using various features associated with the teeth.

[0036] FIG. 4 illustrates a process 300 which optimizes the final placement of the teeth based on teeth features. First, the process 300 automatically or, with human assistance, identifies various features associated with each tooth to arrive at a model of the teeth (step 302). An ideal model set of teeth is then generated either from casts of the patient's teeth or from patients with a good occlusion (step 303).

[0037] From step 302, the process 300 positions the model of the teeth in its approximate final position based on a correspondence of features to the ideal model (step 304). In that step, each tooth model is moved so that its features are aligned to the features of a corresponding tooth in the ideal model. The features may be based on cusps, fossae, ridges, distance-based metrics, or shape-based metrics. Shape-based metrics may be expressed as a function of the patient's arches, among others.

[0038] For example, cusp features associated with each tooth may be used. Cusps are pointed projections on the chewing surface of a tooth. In a detection stage, a possible cusp is viewed as an “island” on the surface of the tooth, with the candidate cusp at the highest point on the island. “Highest” is measured with respect to the coordinate system of the model, but could just as easily be measured with respect to the local coordinate system of each tooth. The set of all possible cusps is determined by looking for all local maxima on the tooth model that are within a specified distance of the top of the bounding box of the model. First, the highest point on the model is designated as the first candidate cusp. A plane is passed through this point, perpendicular to the direction along which the height of a point is measured. The plane is then lowered by a small predetermined distance along the Z axis. Next, all vertices connected to the tooth and which are above the plane and on some connected component are associated with the candidate cusp as cusps. This step is also referred to as a flood fill step. From each candidate cusp point, outward flooding is performed, marking each vertex on the model visited in this matter as part of the corresponding candidate cusp. After the flood fill step is complete, every vertex on the model is examined. Any vertex that is above the plane and has not been visited by one of the flood fills is added to the list of candidate cusps. These steps are repeated until the plane has traveled a specified distance.

[0039] After the detection stage, the cusp detection process may include a rejection stage where local geometries around each of cusp candidates are analyzed to determine if they possess non-cusp-like features. Cusp candidates that exhibit non-cusp-like features are removed from the list of cusp candidates. Various criteria may be used to identify non-cusp-like features. According to one test, the local curvature of the surface around the cusp candidate is used to determine whether the candidate possesses non-cusp-like features. Alternatively, a measure of smoothness is computed based on the average normal in an area around the candidate cusp. If the average normal deviates from the normal at the cusp by more than a specified amount, the candidate cusp is rejected.

[0040] Next, the process 300 computes an orthodontic/occlusion index (step 306). One index which may be used is the PAR (Peer Assessment Rating) index. In addition to PAR, other metrics such as shape-based metrics or distance-based metrics may be used.

[0041] The PAR index identifies how far a tooth is from a good occlusion. A score is assigned to various occlusal traits which make up a malocclusion. The individual scores are summed to obtain an overall total, representing the degree a case deviates from normal alignment and occlusion. Normal occlusion and alignment is defined as all anatomical contact points being adjacent, with a good intercuspal mesh between upper and lower buccal teeth, and with nonexcessive overjet and overbite.

[0042] In PAR, a score of zero would indicate good alignment, and higher scores would indicate increased levels of irregularity. The overall score is recorded on pre- and posttreatment dental casts. The difference between these scores represents the degree of improvement as a result of orthodontic intervention and active treatment. The eleven components of the PAR Index are: upper right segment; upper anterior segment; upper left segment; lower right segment; lower anterior segment; lower left segment; right buccal occlusion; overjet; overbite; centerline; and left buccal occlusion. In addition to the PAR index, other indices may be based on distances of the features on the tooth from their ideal positions or ideal shapes.

[0043] From step 306, the process 300 determines whether additional index-reducing movements are possible (step 308). Here, all possible movements are attempted, including small movements along each major axis as well as small movements with minor rotations. An index value is computed after each small movement and the movement with the best result is selected. In this context, the best result is the result that minimizes one or more metrics such as PAR-based metrics, shape-based metrics or distance-based metrics. The optimization may use a number of techniques, including simulated annealing technique, hill climbing technique, best-first technique, Powell method, and heuristics technique, among others. Simulated annealing techniques may be used where the index is temporarily increased so that another path in the search space with a lower minimum may be found. However, by starting with the teeth in an almost ideal position, any decrease in the index should converge to the best result.

[0044] In step 308, if the index can be optimized by moving the tooth, incremental index-reducing movement inputs are added (step 310) and the process loops back to step 306 to continue computing the orthodontic/occlusion index. Alternatively, in the event that the index cannot be optimized any more, the process 300 exits (step 312).

[0045] Turning now to FIG. 5, a process 320 for performing functional occlusion is shown. Functional occlusion is a process for determining how well the teeth fit together when the jaws move. The process 320 first acquires tooth/arch jaw registration. This may be done using conventional techniques such as X-ray, a computer tomography, or a mechanical device such as a face bow transfer (322).

[0046] After acquiring the registration information, the process 320 places digital dental models of the teeth in a digital articulation simulator (step 324). The articulation simulator allows a subset of jaw movements such as bite-movements to be simulated, as described below.

[0047] From step 324, the process 320 simulates jaw motions (step 326). A simplified set of movement physics (kinematics) is applied to the dental models. The process 320 performs a simulation using a simplified set of interacting forces on the jaws 100 and 101 in relation to one another. The simplified physical simulation allows the system to focus on motions involving much contact between the jaws. The physical simulation allows the system to render realistic physically correct jaw movements when the jaws 100 and 101 come into contact with each other.

[0048] A range of simulated motion may be supplied using a library of motions. One typical motion supplied by the library is a protrusive motion where the lower jaw 101 is moved forward and backward to bring the front teeth on both jaws into contact with each other. Another motion is a lateral motion found in food chewing. The lateral motion involves moving the jaws 100 and 101 side to side. Other motions that may be supplied in the library include motions that are “tooth guided” where the path of the lower jaw 100 is guided by the teeth in contact with each other.

[0049] Next, the process 320 adjusts the final position based on contacts observed during the simulation of motions in step 326 (step 328). The result of the simulation is analyzed, the position of each tooth can be adjusted if contacts associated with that tooth are deemed excessive.

[0050] Finally, based on the contact data generated, the process determines whether additional motion simulations need to be done. The motion simulation may be rerun until the contacts associated with each tooth are acceptable to the treating orthodontist. The tooth model manipulation process can be done subjectively, i.e., the user may simply reposition teeth in an aesthetically and/or therapeutically desired manner based on observations of the final position or based on the simulation of contacts. Alternatively, rules and algorithms may be used to assist the user in repositioning the teeth based on the contacts. If the simulation needs to be repeated, the process loops back to step 326 (step 330). Alternatively, the process exits (step 332).

[0051] FIG. 6 shows an optional process of 340 of incorporating midtreatment information to the final positioning process. First, a digital model incorporating dental information associated with the patient is generated from a scan of the patient's teeth (step 342). The scan may be performed using casts, X-rays or any of the conventional scanning methods.

[0052] Next, the digital model is segmented into one model for each tooth (step 344). Each tooth is then matched against a model associated with a prior scan developed at the beginning of the treatment plan (step 346). The matching process is based on matching corresponding points between the current scan and the prior scan of the teeth. In most cases, the teeth segmented from the current scan retain the shapes determined at the beginning of the treatment plan, and the matching process is easy because the models should be similar to each other.

[0053] A final position transform is then applied to the new teeth model (step 348). The final position and specification from the prior model is copied to the current model of the patient, and the final position is adjusted based on the new models, the new X-ray information or a new prescription (step 350). Step 350 basically involves rerunning the minimization process 300 (FIG. 4) described previously with the new information, which may be a slight change in the model, a change in the X-ray scan, or a change the prescription. Finally, the process 340 exits (step 352).

[0054] FIG. 7 is a simplified block diagram of a data processing system 500. Data processing system 500 typically includes at least one processor 502 which communicates with a number of peripheral devices over bus subsystem 504. These peripheral devices typically include a storage subsystem 506 (memory subsystem 508 and file storage subsystem 514), a set of user interface input and output devices 518, and an interface to outside networks 516, including the public switched telephone network. This interface is shown schematically as “Modems and Network Interface” block 516, and is coupled to corresponding interface devices in other data processing systems over communication network interface 524. Data processing system 500 may include a terminal or a low-end personal computer or a high-end personal computer, workstation or mainframe.

[0055] The user interface input devices typically include a keyboard and may further include a pointing device and a scanner. The pointing device may be an indirect pointing device such as a mouse, trackball, touchpad, or graphics tablet, or a direct pointing device such as a touchscreen incorporated into the display. Other types of user interface input devices, such as voice recognition systems, may be used.

[0056] User interface output devices may include a printer and a display subsystem, which includes a display controller and a display device coupled to the controller. The display device may be a cathode ray tube (CRT), a flat-panel device such as a liquid crystal display (LCD), or a projection device. The display subsystem may also provide nonvisual display such as audio output.

[0057] Storage subsystem 506 maintains the basic programming and data constructs that provide the functionality of the present invention. The software modules discussed above are typically stored in storage subsystem 506. Storage subsystem 506 typically comprises memory subsystem 508 and file storage subsystem 514.

[0058] Memory subsystem 508 typically includes a number of memories including a main random access memory (RAM) 510 for storage of instructions and data during program execution and a read only memory (ROM) 512 in which fixed instructions are stored. In the case of Macintosh-compatible personal computers the ROM would include portions of the operating system; in the case of IBM-compatible personal computers, this would include the BIOS (basic input/output system).

[0059] File storage subsystem 514 provides persistent (nonvolatile) storage for program and data files, and typically includes at least one hard disk drive and at least one floppy disk drive (with associated removable media). There may also be other devices such as a CD-ROM drive and optical drives (all with their associated removable media). Additionally, the system may include drives of the type with removable media cartridges. The removable media cartridges may, for example be hard disk cartridges, such as those marketed by Syquest and others, and flexible disk cartridges, such as those marketed by Iomega. One or more of the drives may be located at a remote location, such as in a server on a local area network or at a site on the Internet's World Wide Web.

[0060] In this context, the term “bus subsystem” is used generically so as to include any mechanism for letting the various components and subsystems communicate with each other as intended. With the exception of the input devices and the display, the other components need not be at the same physical location. Thus, for example, portions of the file storage system could be connected over various local-area or wide-area network media, including telephone lines. Similarly, the input devices and display need not be at the same location as the processor, although it is anticipated that the present invention will most often be implemented in the context of PCS and workstations.

[0061] Bus subsystem 504 is shown schematically as a single bus, but a typical system has a number of buses such as a local bus and one or more expansion buses (e.g., ADB, SCSI, ISA, EISA, MCA, NuBus, or PCI), as well as serial and parallel ports. Network connections are usually established through a device such as a network adapter on one of these expansion buses or a modem on a serial port. The client computer may be a desktop system or a portable system.

[0062] Scanner 520 is responsible for scanning casts of the patient's teeth obtained either from the patient or from an orthodontist and providing the scanned digital data set information to data processing system 500 for further processing. In a distributed environment, scanner 520 may be located at a remote location and communicate scanned digital data set information to data processing system 500 over network interface 524.

[0063] Fabrication machine 522 fabricates dental appliances based on intermediate and final data set information received from data processing system 500. In a distributed environment, fabrication machine 522 may be located at a remote location and receive data set information from data processing system 500 over network interface 524.

[0064] Various alternatives, modifications, and equivalents may be used in lieu of the above components. Although the final position of the teeth may be determined using computer-aided techniques, a user may move the teeth into their final positions by independently manipulating one or more teeth while satisfying the constraints of the prescription.

[0065] Additionally, the techniques described here may be implemented in hardware or software, or a combination of the two. The techniques may be implemented in computer programs executing on programmable computers that each includes a processor, a storage medium readable by the processor (including volatile and nonvolatile memory and/or storage elements), and suitable input and output devices. Program code is applied to data entered using an input device to perform the functions described and to generate output information. The output information is applied to one or more output devices.

[0066] Each program can be implemented in a high level procedural or object-oriented programming language to operate in conjunction with a computer system. However, the programs can be implemented in assembly or machine language, if desired. In any case, the language may be a compiled or interpreted language.

[0067] Each such computer program can be stored on a storage medium or device (e.g., CD-ROM, hard disk or magnetic diskette) that is readable by a general or special purpose programmable computer for configuring and operating the computer when the storage medium or device is read by the computer to perform the procedures described. The system also may be implemented as a computer-readable storage medium, configured with a computer program, where the storage medium so configured causes a computer to operate in a specific and predefined manner.

[0068] FIG. 8 shows an exemplary process for fitting the ideal teeth. First, the process provides a static occlusion determined from a computer representation of the masticatory system. Next, the process models an ideal set of teeth and automatically applies the ideal set of teeth to the computer representation of the masticatory system of the patient. Further, the process optimizes the position of the patient's teeth to fit the ideal set of teeth.

[0069] Further, while the invention has been shown and described with reference to an embodiment thereof, those skilled in the art will understand that the above and other changes in form and detail may be made without departing from the spirit and scope of the following claims.

Claims

What is claimed is:

1. A system for planning an orthodontic treatment of a patient's teeth, the system comprising:

at least one processor;

a display device coupled to the at least one processor; and

a data storage device coupled to at least one processor, the data storage device storing program instructions that when executed causes the at least one processor to:

receive an initial position digital data set representing an arrangement of the patient's teeth;

generate a final position digital data set representing the patient's teeth in a desired or prescribed arrangement; and

generate a plurality of intermediate digital data sets representing intermediate arrangements of the patient's teeth, wherein at least some of the intermediate tooth arrangements represent different orthodontic treatment stages as the patient's teeth are moved from the initial arrangement toward the final arrangement.

2. The system of claim 1, wherein the initial position digital data set represents an intermediate arrangement of the patient's teeth.

3. The system of claim 1, further comprising a scanner coupled to the at least one processor for providing data used to generate the initial position digital data set.

4. The system of claim 1, further comprising a fabrication machine coupled to the at least one processor, wherein execution of the program instructions causes the at least one processor to control the fabrication machine to fabricate a patient removable appliance for each of at least two of the intermediate arrangements, each patient removable appliance having teeth-receiving cavities, the cavities of appliances for the at least two intermediate arrangements having different geometries shaped to receive and resiliently reposition teeth from one arrangement to a successive arrangement.

5. The system of claim 1, wherein said step to generate a final position digital data set comprises:

generating an ideal model of a set of teeth; and

arranging representations of the patient's teeth based on the ideal model.

6. The system of claim 5, wherein said generating an ideal model of a set of teeth comprises selecting one or more arch forms.

7. The system of claim 5, wherein said arranging representations of the patient's teeth based on the ideal model comprises positioning representations of the patient's teeth based on a correspondence of features to the ideal model set of teeth.

8. The system of claim 7, wherein said features are based on at least one of cusps, fossae, ridges, distance-based metrics, and shape-based metrics.

9. The system of claim 8, wherein said patient has a masticatory system and said step to generate a final position digital data set comprises repositioning one or more of representations of teeth to improve an occlusion between upper and lower teeth of the patient.

10. The system of claim 9, wherein said step to generate a final position digital data set comprises:

generating a computer representation of a masticatory system of the patient that includes upper and lower teeth;

using the computer representation of the masticatory system to simulate motion of the masticatory system to generate contact data between the upper and lower teeth; and

placing a tooth in a final position based on the contact data.

11. The system of claim 10, wherein said placing step is based on a measure of undesirability of the contacts.

12. The system of claim 11, wherein said step to generate a final position digital data set comprises optimizing the position of the tooth to minimize the measure of undesirability.

13. The system of claim 12, wherein the measure of undesirability is a function of one or more of Peer Assessment Rating (PAR) metrics, distance-based metrics, and shape-based metrics.

14. The system of claim 5, wherein said patient has a masticatory system and said step to generate a final position digital data set comprises repositioning one or more of representations of teeth to improve an occlusion between upper and lower teeth of the patient.

15. The system of claim 14, wherein said step to generate a final position digital data set comprises:

generating a computer representation of a masticatory system of the patient that includes upper and lower teeth;

using the computer representation of the masticatory system to simulate motion of the masticatory system to generate contact data between the upper and lower teeth; and

placing a tooth in a final position based on the contact data.

16. The system of claim 15, wherein said placing step is based on a measure of undesirability of the contacts.

17. The system of claim 16, wherein said step to generate a final position digital data set comprises optimizing the position of the tooth to minimize the measure of undesirability.

18. The system of claim 17, wherein the measure of undesirability is a function of one or more of Peer Assessment Rating (PAR) metrics, distance-based metrics, and shape-based metrics.

19. The system of claim 2, wherein execution of the program instructions causes the at least one processor to:

receive an mid-treatment position digital data set representing a mid-treatment arrangement of the patient's teeth, the mid-treatment position digital data set defining mid-treatment shapes for the patient's teeth;

generate a mid-treatment approximate final position digital data set by modifying the mid-treatment position digital data set to reposition representations of the patient's teeth based the positions of corresponding teeth in the final position digital data set;

generate a mid-treatment final position digital data set representing a mid-treatment final arrangement of the patient's teeth by modifying the mid-treatment approximate final position digital data set based on an analysis of contact between upper and lower teeth having the mid-treatment shapes so as to improve an occlusion; and

generate a plurality of mid-treatment intermediate digital data sets representing mid-treatment intermediate arrangements of the patient's teeth, wherein at least some of the mid-treatment intermediate tooth arrangements represent different orthodontic treatment stages as the patient's teeth are moved from the mid-treatment arrangement toward the mid-treatment final arrangement.

20. The system of claim 19, wherein said analysis of contact comprises:

generating a mid-treatment computer representation of a masticatory system of the patient that includes upper and lower teeth as defined by the mid-treatment approximate final position data set;

using the mid-treatment computer representation of the masticatory system to simulate motion of the masticatory system to generate contact data between the upper and lower teeth; and

placing a tooth in a mid-treatment final position based on the contact data.

21. The system of claim 20, wherein said placing a tooth in a mid-treatment final position is based on a measure of undesirability of the contacts.

Patent Citations (191)

Patent	Date	Inventor	Cited By
US2467432(A)	1949-04-01	Kesling	Applicant
US3407500(A)	1968-10-01	Kesling	Applicant
US3600808(A)	1971-08-01	Reeve	Applicant
US3660900(A)	1972-05-01	Andrews	Applicant
US3683502(A)	1972-08-01	Wallshein	Applicant
US3738005(A)	1973-06-01	Cohen	Applicant
US3860803(A)	1975-01-01	Levine	Applicant
US3916526(A)	1975-11-01	Schudy	Applicant
US3922786(A)	1975-12-01	Lavin	Applicant
US3950851(A)	1976-04-01	Bergersen	Applicant
US3983628(A)	1976-10-01	Acevedo	Applicant
US4014096(A)	1977-03-01	Dellinger	Applicant
US4195046(A)	1980-03-01	Kesling	Applicant
US4253828(A)	1981-03-01	Coles et al.	Applicant
US4324546(A)	1982-04-01	Heitlinger et al.	Applicant
US4324547(A)	1982-04-01	Arcan et al.	Applicant
US4348178(A)	1982-09-01	Kurz	Applicant
US4478580(A)	1984-10-01	Barrut	Applicant
US4500294(A)	1985-02-01	Lewis	Applicant
US4504225(A)	1985-03-01	Yoshii	Applicant
US4505673(A)	1985-03-01	Yoshii	Applicant
US4526540(A)	1985-07-01	Dellinger	Applicant
US4575330(A)	1986-03-01	Hull	Applicant
US4575805(A)	1986-03-01	Moermann et al.	Applicant
US4591341(A)	1986-05-01	Andrews	Applicant
US4609349(A)	1986-09-01	Cain	Applicant
US4611288(A)	1986-09-01	Duret et al.	Applicant
US4656860(A)	1987-04-01	Orthuber et al.	Applicant
US4663720(A)	1987-05-01	Duret et al.	Applicant
US4664626(A)	1987-05-01	Kesling	Applicant
US4676747(A)	1987-06-01	Kesling	Applicant
US4742464(A)	1988-05-01	Duret et al.	Applicant
US4755139(A)	1988-07-01	Abbatte et al.	Applicant
US4763791(A)	1988-08-01	Halverson et al.	Applicant
US4793803(A)	1988-12-01	Martz	Applicant
US4798534(A)	1989-01-01	Breads	Applicant
US4836778(A)	1989-06-01	Baumrind et al.	Applicant
US4837732(A)	1989-06-01	Brandestini et al.	Applicant
US4850864(A)	1989-07-01	Diamond	Applicant
US4850865(A)	1989-07-01	Napolitano	Applicant
US4856991(A)	1989-08-01	Breads et al.	Applicant
US4877398(A)	1989-10-01	Kesling	Applicant
US4880380(A)	1989-11-01	Martz	Applicant
US4889238(A)	1989-12-01	Batchelor	Applicant
US4890608(A)	1990-01-01	Steer	Applicant
US4935635(A)	1990-06-01	O'Harra	Applicant
US4936862(A)	1990-06-01	Walker et al.	Applicant
US4937928(A)	1990-07-01	van der Zel	Applicant
US4941826(A)	1990-07-01	Loran et al.	Applicant
US4964770(A)	1990-10-01	Steinbichler et al.	Applicant
US4975052(A)	1990-12-01	Spencer et al.	Applicant
US4983334(A)	1991-01-01	AdelI	Applicant
US5011405(A)	1991-04-01	Lemchen	Applicant
US5017133(A)	1991-05-01	Miura	Applicant
US5027281(A)	1991-06-01	Rekow et al.	Applicant
US5035613(A)	1991-07-01	Breads et al.	Applicant
US5055039(A)	1991-10-01	Abbatte et al.	Applicant
US5059118(A)	1991-10-01	Breads et al.	Applicant
US5100316(A)	1992-03-01	Wildman	Applicant
US5121333(A)	1992-06-01	Riley et al.	Applicant
US5125832(A)	1992-06-01	Kesling	Applicant
US5128870(A)	1992-07-01	Erdman et al.	Applicant
US5130064(A)	1992-07-01	Smalley	Applicant
US5131843(A)	1992-07-01	Hilgers et al.	Applicant
US5131844(A)	1992-07-01	Marinaccio et al.	Applicant
US5139419(A)	1992-08-01	Andreiko et al.	Applicant
US5145364(A)	1992-09-01	Martz et al.	Applicant
US5176517(A)	1993-01-01	Truax	Applicant
US5184306(A)	1993-02-01	Erdman et al.	Applicant
US5186623(A)	1993-02-01	Breads et al.	Applicant
US5257203(A)	1993-10-01	Riley et al.	Applicant
US5273429(A)	1993-12-01	Rekow et al.	Applicant
US5278756(A)	1994-01-01	Lemchen et al.	Applicant
US5328362(A)	1994-07-01	Watson et al.	Applicant
US5338198(A)	1994-08-01	Wu et al.	Applicant
US5340309(A)	1994-08-01	Robertson	Applicant
US5342202(A)	1994-08-01	Deshayes	Applicant
US5368478(A)	1994-11-01	Andreiko et al.	Applicant
US5382164(A)	1995-01-01	Stern	Applicant
US5395238(A)	1995-03-01	Andreiko et al.	Applicant
US5431562(A)	1995-07-01	Andreiko et al.	Applicant
US5440326(A)	1995-08-01	Quinn	Applicant
US5440496(A)	1995-08-01	Andersson et al.	Applicant
US5447432(A)	1995-09-01	Andreiko et al.	Applicant
US5452219(A)	1995-09-01	Dehoff et al.	Applicant
US5454717(A)	1995-10-01	Andreiko et al.	Applicant
US5456600(A)	1995-10-01	Andreiko et al.	Applicant
US5474448(A)	1995-12-01	Andreiko et al.	Applicant
USRE35169(E)	1996-03-01	Lemchen et al.	Applicant
US5518397(A)	1996-05-01	Andreiko et al.	Applicant
US5528735(A)	1996-06-01	Strasnick et al.	Applicant
US5533895(A)	1996-07-01	Andreiko et al.	Applicant
US5542842(A)	1996-08-01	Andreiko et al.	Applicant
US5549476(A)	1996-08-01	Stern	Applicant
US5562448(A)	1996-10-01	Mushabac	Applicant
US5587912(A)	1996-12-01	Andersson et al.	Applicant
US5605459(A)	1997-02-01	Kuroda et al.	Applicant
US5607305(A)	1997-03-01	Andersson et al.	Applicant
US5614075(A)	1997-03-01	Andre	Applicant
US5621648(A)	1997-04-01	Crump	Applicant
US5645420(A)	1997-07-01	Bergersen	Applicant
US5645421(A)	1997-07-01	Slootsky	Applicant
US5655653(A)	1997-08-01	Chester	Applicant
US5683243(A)	1997-11-01	Andreiko et al.	Applicant
US5692894(A)	1997-12-01	Schwartz et al.	Applicant
US5725376(A)	1998-03-01	Poirier	Applicant
US5725378(A)	1998-03-01	Wang	Applicant
US5733126(A)	1998-03-01	Andersson et al.	Applicant
US5740267(A)	1998-04-01	Echerer et al.	Applicant
US5742700(A)	1998-04-01	Yoon et al.	Applicant
US5799100(A)	1998-08-01	Clarke et al.	Applicant
US5800174(A)	1998-09-01	Andersson	Applicant
US5823778(A)	1998-10-01	Schmitt et al.	Applicant
US5848115(A)	1998-12-01	Little et al.	Applicant
US5857853(A)	1999-01-01	van Nifterick et al.	Applicant
US5866058(A)	1999-02-01	Batchelder et al.	Applicant
US5879158(A)	1999-03-01	Doyle et al.	Applicant
US5880961(A)	1999-03-01	Crump	Applicant
US5880962(A)	1999-03-01	Andersson et al.	Applicant
US5934288(A)	1999-08-01	Avila et al.	Applicant
US5957686(A)	1999-09-01	Anthony	Applicant
US5964587(A)	1999-10-01	Sato	Applicant
US5971754(A)	1999-10-01	Sondhi et al.	Applicant
US5975893(A)	1999-11-01	Chishti et al.	Applicant
US6015289(A)	2000-01-01	Andreiko et al.	Examiner
US6044309(A)	2000-03-01	Honda	Applicant
US6049743(A)	2000-04-01	Baba	Applicant
US6062861(A)	2000-05-01	Andersson	Applicant
US6068482(A)	2000-05-01	Snow	Applicant
US6099314(A)	2000-08-01	Kopelman et al.	Applicant
US6123544(A)	2000-09-01	Cleary	Applicant
US6152731(A)	2000-11-01	Jordan et al.	Applicant
US6183248(B1)	2001-02-01	Chishti et al.	Applicant
US6190165(B1)	2001-02-01	Andreiko et al.	Applicant
US6217325(B1)	2001-04-01	Chishti et al.	Applicant
US6217334(B1)	2001-04-01	Hultgren	Applicant
US6244861(B1)	2001-06-01	Andreiko et al.	Applicant
US6309215(B1)	2001-10-01	Phan et al.	Applicant
US6315553(B1)	2001-11-01	Sachdeva et al.	Applicant
US6322359(B1)	2001-11-01	Jordan et al.	Applicant
US6350120(B1)	2002-02-01	Sachdeva et al.	Applicant
US6382975(B1)	2002-05-01	Poirier	Applicant
US6398548(B1)	2002-06-01	Muhammad et al.	Applicant
US6402707(B1)	2002-06-01	Ernst	Applicant
US6450807(B1)	2002-09-01	Chishti et al.	Examiner
US6457972(B1)	2002-10-01	Chishti et al.	Examiner
US6482298(B1)	2002-11-01	Bhatnagar	Applicant
US6524101(B1)	2003-02-01	Phan et al.	Applicant
US6554611(B2)	2003-04-01	Chishti et al.	Applicant
US6572372(B1)	2003-06-01	Phan et al.	Applicant
US6629840(B2)	2003-10-01	Chishti et al.	Applicant
US6705863(B2)	2004-03-01	Phan et al.	Applicant
US6722880(B2)	2004-04-01	Chishti et al.	Applicant
US6783360(B2)	2004-08-01	Chishti	Examiner
US7134874(B2)	2006-11-01	Chishti et al.	Examiner
US7377778(B2)	2008-05-01	Chishti et al.	Examiner
US8070487(B2)	2011-12-01	Chishti et al.	Examiner
US2002/0006597(A1)	2002-01-01	Andreiko et al.	Applicant
US2003/0009252(A1)	2003-01-01	Pavlovskaia et al.	Applicant
US2003/0139834(A1)	2003-07-01	Nikolskiy et al.	Applicant
US2003/0224311(A1)	2003-12-01	Cronauer	Applicant
US2004/0128010(A1)	2004-07-01	Pavlovskaia et al.	Applicant
US2005/0055118(A1)	2005-03-01	Nikolskiy et al.	Applicant
US2012/0225400(A1)	2012-09-01	Chishti et al.	Applicant
AU3031677(A)	1979-05-01		Applicant
AU517102(B2)	1981-07-01		Applicant
AU5598894(A)	1994-06-01		Applicant
CA1121955	1982-04-01		Applicant
DE2749802	1978-05-01		Applicant
DE69327661(T)	2000-07-01		Applicant
EP91876(A1)	1983-10-01		Applicant
EP299490(A2)	1989-01-01		Applicant
EP376873(A2)	1990-07-01		Applicant
EP490848(A2)	1992-06-01		Applicant
EP541500(A1)	1993-05-01		Applicant
EP667753(B1)	1995-08-01		Applicant
EP731673(B1)	1996-09-01		Applicant
EP774933(B1)	1997-05-01		Applicant
ES463897	1980-01-01		Applicant
FR2369828(A1)	1978-06-01		Applicant
FR2652256(A1)	1991-03-01		Applicant
GB15500777	1979-08-01		Applicant
JP53-058191	1978-05-01		Applicant
JP4-028359	1992-01-01		Applicant
JP8-508174	1996-09-01		Applicant
WO90/08512(A1)	1990-08-01		Applicant
WO91/04713(A1)	1991-04-01		Applicant
WO94/10935(A1)	1994-05-01		Applicant
WO98/32394(A1)	1998-07-01		Applicant
WO98/44865(A1)	1998-10-01		Applicant
WO98/58596(A1)	1998-12-01		Applicant

Non-Patent Literature (154)

AADR. American Association for Dental Research, Summary of Activities, Mar. 20-23, 1980, Los Angeles, CA, p. 195.Applicant
Alcaniz, et aL, “An Advanced System for the Simulation and Planning of Orthodontic Treatments,” Karl HF Heinz Hohne and Ron Kikinis (eds.), Visualization in Biomedical Computing, 4th Intl. Conf., VBC '96, Hamburg, Germany, Sep. 22-25, 1996, Springer-Verlag, pp. 511-520.Applicant
Alexander et al., “The DigiGraph Work Station Part 2 Clinical Management,” JCO, pp. 402-407 (Jul. 1990.Applicant
Altschuler et al., “Analysis of 3-D Data for Comparative 3-D Serial Growth Pattern Studies of Oral-Facial Structures,” AADR Abstracts, Program and Abstracts of Papers, 57th General Session, IADR HP Annual Session, Mar. 29, 1979-Apr. 1, 1979, New Orleans Marriot, Journal of Dental Research, vol. 58, Jan. 1979, Special Issue A, p. 221.Applicant
Altschuler et al., “Laser Electro-Optic System for Rapid Three-Dimensional (3D) Topographic Mapping of Surfaces,” Optical Engineering, 20(6):953-961 (1981).Applicant
Altschuler et al., “Measuring Surfaces Space-Coded by a Laser-Projected Dot Matrix,” SPIE Imaging q Applications for Automated Industrial Inspection and Assembly, vol. 182, p. 187-191 (1979).Applicant
Altschuler, “3D Mapping of Maxillo-Facial Prosthesis,” AADR Abstract #607, 2 pages total, (1980).Applicant
Andersson et al., “Clinical Results with Titanium Crowns Fabricated with Machine Duplication and Spark Erosion,” Acta. Odontol. Scand., 47:279-286 (1989).Applicant
Andrews, The Six Keys to Optimal Occlusion Straight Wire, Chapter 3, pp. 13-24 (1989).Applicant
Bartels, et al., An Introduction to Splines for Use in Computer Graphics and Geometric Modeling, Morgan Kaufmann Publishers, pp. 422-425 (1987).Applicant
Baumrind et al., “A Stereophotogrammetric System for the Detection of Prosthesis Loosening in Total Hip Arthroplasty,” NATO Symposium on Applications of Human Biostereometrics, Jul. 9-13, 1978, SPIE, vol. 166, pp. 112-123.Applicant
Baumrind et al., “Mapping the Skull in 3-D,” reprinted from J. Calif. Dent. Assoc., 48(2), 11 pages total, (1972 Fall Issue).Applicant
Baumrind, “A System for Craniofacial Mapping Through the Integration of Data from Stereo X-Ray Films and Stereo Photographs,” an invited paper submitted to the 1975 American Society of Photogram Symposium on Close-Range Photogram Systems, University of III., Aug. 26-30, 1975, pp. 142-166.Applicant
Baumrind, “Integrated Three-Dimensional Craniofacial Mapping: Background, Principles, and Perspectives,” Semin in Orthod., 7(4):223-232 (Dec. 2001).Applicant
Begole et al., “A Computer System for the Analysis of Dental Casts,” The Angle Orthod., 51(3):253-259 (Jul. 1981).Applicant
Bernard et al.,“Computerized Diagnosis in Orthodontics for Epidemiological Studies: A Progress Report,” Abstract, J. Dental Res. Special Issue, vol. 67, p. 169, paper presented at International Association for Dental Research 66th General Session, Mar. 9-13, 1988, Montreal, Canada.Applicant
Bhatia et al., “A Computer-Aided Design for Orthognathic Surgery,” Br. J. Oral Maxillofac. Surg., 22:237-253 (1984).Applicant
Biggerstaff et al., “Computerized Analysis of Occlusion in the Postcanine Dentition,” Am. J. Orthod., 61(3): 245-254 (Mar. 1972).Applicant
Biggerstaff, “Computerized Diagnostic Setups and Simulations,” Angle Orthod., 40(1):28-36 (Jan. 1970).Applicant
Biostar Opeation & Training Manual. Great Lakes Orthodontics, Ltd. 199 Fire Tower Drive, Tonawanda, New York. 14150-5890, 20 pages total (1990).Applicant
Blu, et al., “Linear interpolation revitalized”, IEEE Trans. Image Proc., 13(5):710-719 (May 2004.Applicant
Bourke, “Coordinate System Transformation,” (Jun. 1996), p. 1, retrieved from the Internet Nov. 5, 2004, URL <http://astronomy.swin.edu.au/—pbourke/prolection/coords>.Applicant
Boyd et al., “Three Dimensional Diagnosis and Orthodontic Treatment of Complex Malocclusions With the Invisalipn Appliance,” Semin Orthod., 7(4):274-293 (Dec. 2001).Applicant
Brandestini et al., “Computer Machined Ceramic Inlays: In Vitro Marginal Adaptation,” J. Dent. Res Special Issue, Abstracts, vol. 64, p. 208 (1985).Applicant
Brook et al., “An Image Analysis System for the Determination of Tooth Dimensions from Study Casts: IK Comparison with Manual Measurements of Mesio-distal Diameter,” J. Dent. Res., 65(3):428-431 (Mar. 1986.Applicant
Burstone (interview), “Dr. Charles J. Burstone on the Uses of the Computer in Orthodontic Practice (Part 1),” J. Clin. Orthod., 13(7):442-453 (Jul. 1979).Applicant
Burstone (interview), “Dr. Charles J. Burstone on the Uses of the Computer in Orthodontic Practice (Part 2),” J. Clin. Orthod., 13(8):539-551 (Aug. 1979.Applicant
Burstone et al., Precision Adjustment of the Transpalatal Lingual Arch: Computer Arch Form IN Predetermination, Am, Journal of Orthodontics, vol. 79, No. 2 (Feb. 1981), pp. 115-133.Applicant
Cardinal Industrial Finishes, Powder Coatings information posted at <http://www.cardinalpaint.com> on Aug. 25, 2000, 2 pages.Applicant
Carnaghan, “An Alternative to Holograms for the Portrayal of Human Teeth,” 4th Int'l. Conf. on Holographic Systems, Components and Applications, Sep. 15, 1993, pp. 228-231.Applicant
Chaconas et al., “The DigiGraph Work Station, Part 1, Basic Concepts,” JCO, pp. 360-367 (Jun. 1990).Applicant
Chafetz et al., “Subsidence of the Femoral Prosthesis, a Stereophotogrammetric Evaluation,” Clin. Orthop. Relat. Res., No. 201, pp. 60-67 (Dec. 1985).Applicant
Chiappone, (1980). Constructing the Gnathologic Setup and Positioner, J. Clin. Orthod, vol. 14, pp. 121-133.Applicant
Cottingham, (1969). Gnathologic Clear Plastic Positioner, Am. J. Orthod, vol. 55, pp. 23-31.Applicant
Crawford, “CAD/CAM in the Dental Office: Does It Work?”, Canadian Dental Journal, vol. 57, No. 2, pp. 121-123 (Feb. 1991).Applicant
Crawford, “Computers in Dentistry: Part 1: CAD/CAM: The Computer Moves Chairside,” “Part 2: F. Duret—A Man With a Vision,” “Part 3: the Computer Gives New Vision—Literally,” “Part 4: Bytes 'N Bytes” The Computer Moves From the Front Desk to the Operatory, Canadian Dental Journal, vol. 54(9), pp. 661-666 (1988).Applicant
Crooks, “CAD/CAM Comes to USC,” USC Dentistry, pp. 14-17 (Spring 1990).Applicant
Cureton, Correcting Malaligned Mandibular Incisors with Removable Retainers, J. Clin. Orthod, vol. 30, No. 7 (1996) pp. 390-395.Applicant
Curry et al., “Integrated Three-Dimensional Craniofacial Mapping at the Craniofacial Research Instrumentation Laboratory/University of the Pacific,” Semin Orthod., 7(4):258-265 (Dec. 2001).Applicant
Cutting et a/., “Three-Dimensional Computer-Assisted Design of Craniofacial Surgical Procedures: Optimization and Interaction with Cephalometric and CT-Based Models,” Plast. 77(6):877-885 (Jun. 1986).Applicant
DCS Dental AG, “The CAD/CAM ‘DCS Titan System’ for Production of Crowns/Bridges,” DSC Production AG, pp. 1-7 (Jan. 1992.Applicant
Definition for gingiva. Dictionary.com p. 1-3. Retrieved from the interne Nov. 5, 2004 <http://reference.com/search/search?q=gingiva>.Applicant
Defranco et al., “Three-Dimensional Large Displacement Analysis of Orthodontic Appliances,” J. Biomechanics, 9:793-801 (1976).Applicant
Dental Institute University of Zurich Switzerland, Program for International Symposium JD on Computer Restorations: State of the Art of the CEREC-Method, May 1991, 2 pages total.Applicant
Dentrac Corporation, Dentrac document, pp. 4-13 (1992).Applicant
Dent-X posted on Sep. 24, 1998 at <http://www.dent-x.com/DentSim.htm>, 6 pages.Applicant
Doyle, “Digital Dentistry,” Computer Graphics World, pp. 50-52, 54 (Oct. 2000.Applicant
DuraClearTM product information, Allesee Orthodontic Appliances-Pro Lab, 1 page (1997).Applicant
Duret et al, “CAD-CAM in Dentistry,” J. Am. Dent. Assoc. 117:715-720 (Nov. 1988.Applicant
Duret et al., “CAD/CAM Imaging in Dentistry,” Curr. Opin. Dent., 1:150-154 (1991.Applicant
Duret, “The Dental CAD/CAM, General Description of the Project,” Hennson International Product Brochure, 18 pages total, Jan. 1986.Applicant
Duret,“Vers Une Prosthese Informatisee,” (English translation attached), Tonus, vol. 75, pp. 55-57 (Nov. 15, 1985).Applicant
Economides, “The Microcomputer in the Orthodontic Office,” JCO, pp. 767-772 (Nov. 1979.Applicant
Elsasser, Some Observations on the History and Uses of the Kesling Positioner, Am. J. Orthod. (1950) 36:368-374.Applicant
English translation of Japanese Laid-Open Publication No. 63-11148 to inventor T. Ozukuri (Laid-Open on Jan. 18, 1998) pp. 1-7.Applicant
Felton et al., “A Computerized Analysis of the Shape and Stability of Mandibular Arch Form,” Am. J. Orthod. Dentofacial Orthop., 92(6):478-483 (Dec. 1987.Applicant
Friede et al., “Accuracy of Cephalometric Prediction in Orthognathic Surgery,” Abstract of Papers, J. Dent. Res., 70:754-760 (1987.Applicant
Futterling et a/., “Automated Finite Element Modeling of a Human Mandible with Dental Implants,” JS WSCG '98-Conference Program, retrieved from the Internet: <http://wscg.zcu.cz/wscg98/papers98/Strasser 98.pdf>, 8 pages.Applicant
Gao et al., “3-D element Generation for Multi-Connected Complex Dental and Mandibular Structure,” Proc. Intl Workshop on Medical Imaging and Augmented Reality, pp. 267-271 (Jun. 12, 2001.Applicant
Gim-Alldent Deutschland, “Das DUX System: Die Technik,” 2 pages total (2002).Applicant
Gottleib et al., “JCO Interviews Dr. James A. McNamara, Jr., on the Frankel Appliance: Part 2: Clinical 1-1 Management, ”J. Clin. Orthod., 16(6):390-407 (Jun. 1982.Applicant
Grayson, “New Methods for Three Dimensional Analysis of Craniofacial Deformity, Symposium: JW Computerized Facial Imaging in Oral and Maxiiofacial Surgery,” AAOMS, 3 pages total, (Sep. 13, 1990.Applicant
Guess et al., “Computer Treatment Estimates in Orthodontics and Orthognathic Surgery,” JCO, pp. 262-228 (Apr. 1989.Applicant
Heaven et a/., “Computer-Based Image Analysis of Artificial Root Surface Caries,” Abstracts of Papers, J. Dent. Res., 70:528 (Apr. 17-21, 1991.Applicant
Highbeam Research, “Simulating Stress Put on Jaw,” Tooling & Production [online], Nov. 1996, n pp. 1-2, retrieved from the Internet on Nov. 5, 2004, URL http://static.highbeam.com/t/toolingampproduction/november011996/simulatingstressputonfa . . . >.Applicant
Hikage, “Integrated Orthodontic Management System for Virtual Three-Dimensional Computer Graphic Simulation and Optical Video Image Database for Diagnosis and Treatment Planning”, Journal of Japan KA Orthodontic Society, Feb. 1987, English translation, pp. 1-38, Japanese version, 46(2), pp. 248-269 (60 pages total.Applicant
Hoffmann, et al., “Role of Cephalometry for Planning of Jaw Orthopedics and Jaw Surgery Procedures,” 0 (Article Summary in English, article in German), lnformatbnen, pp. 375-396 (Mar. 1991.Applicant
Hojjatie et al., “Three-Dimensional Finite Element Analysis of Glass-Ceramic Dental Crowns,” J. Biomech., 23(11):1157-1166 (1990.Applicant
Huckins, “CAD-CAM Generated Mandibular Model Prototype from MRI Data,” AAOMS, p. 96 (1999.Applicant
Important Tip About Wearing the Red White & Blue Active Clear Retainer System, Allesee Orthodontic Appliances-Pro Lab, 1 page 1998).Applicant
Inside the ADA, JADA, 118:286-294 (Mar. 1989).Applicant
JCO Interviews, Craig Andreiko , DDS, MS on the Elan and Orthos Systems, JCO, pp. 459-468 (Aug. 1994.Applicant
JCO Interviews, Dr. Homer W. Phillips on Computers in Orthodontic Practice, Part 2, JCO, pp. 819-831.Applicant
Jerrold, “The Problem, Electronic Data Transmission and the Law,” AJO-DO, pp. 478-479 (Apr. 1988.Applicant
Jones et al., “An Assessment of the Fit of a Parabolic Curve to Pre- and Post-Treatment Dental Arches,” Br. J. Orthod., 16:85-93 (1989).Applicant
JP Faber et al., “Computerized Interactive Orthodontic Treatment Planning,” Am. J. Orthod., 73(1):36-46. Jan. 1978.Applicant
Kamada et.al., Construction of Tooth Positioners with LTV Vinyl Silicone Rubber and Some Case KJ Reports, J. Nihon University School of Dentistry (1982) 24(1):1-27.Applicant
Kanazawa et al., “Three-Dimensional Measurements of the Occlusal Surfaces of Upper Molars in a Dutch Population,” J. Dent Res., 63(11):1298-1301 (Nov. 1984).Applicant
Kesling et al., The Philosophy of the Tooth Positioning Appliance, American Journal of Orthodontics and Oral surgery. 1945; 31:297-304.Applicant
Kesling, Coordinating the Predetermined Pattern and Tooth Positioner with Conventional Treatment, KN Am. J. Orthod. Oral Surg. (1946) 32:285-293.Applicant
Ki Kamada et.al., Case Reports on Tooth Positioners Using LTV Vinyl Silicone Rubber, J. Nihon University School of Dentistry (1984) 26(1): 11-29.Applicant
Kleeman et al., The Speed Positioner, J. Clin. Orthod. (1996) 30:673-680.Applicant
Kochanek, “Interpolating Splines with Local Tension, Continuity and Bias Control,” Computer Graphics, ri 18(3):33-41 (Jul. 1984). KM Oral Surgery (1945) 31 :297-30.Applicant
Kunii et al., “Articulation Simulation for an Intelligent Dental Care System,” Displays 15:181-188 (1994).Applicant
Kuroda et al., Three-Dimensional Dental Cast Analyzing System Using Laser Scanning, Am. J. Orthod. Dentofac. Orthop. (1996) 110:365-369.Applicant
Laurendeau, et al., “A Computer-Vision Technique for the Acquisition and Processing of 3-D Profiles of 7 KR Dental Imprints: An Application in Orthodontics,” IEEE Transactions on Medical Imaging, 10(3):453-461 (Sep. 1991.Applicant
Leinfelder, et al., “A New Method for Generating Ceramic Restorations: a CAD-CAM System,” J. Am. 1-1 Dent. Assoc., 118(6):703-707 (Jun. 1989.Applicant
Manetti, et al., “Computer-Aided Cefalometry and New Mechanics in Orthodontics,” (Article Summary in English, article in German), Fortschr Kieferorthop. 44, 370-376 (Nr. 5), 1983.Applicant
McCann, “Inside the ADA,” J. Amer. Dent. Assoc., 118:286-294 (Mar. 1989.Applicant
McNamara et al., “Invisible Retainers,” J. Cfin. Orthod., pp. 570-578 (Aug. 1985).Applicant
McNamara et al., Orthodontic and Orthopedic Treatment in the Mixed Dentition, Needham Press, pp. 347-353 (Jan. 1993).Applicant
Moermann et al., “Computer Machined Adhesive Porcelain Inlays: Margin Adaptation after Fatigue Stress,” IADR Abstract 339, J. Dent. Res., 66(a):763 (1987).Applicant
Moles, “Correcting Mild Malalignments—As Easy As One, Two, Three,” AOA/Pro Corner, vol. 11, No. 1, 2 pages (2002).Applicant
Mormann et al., “Marginale Adaptation von adhasuven Porzellaninlays in vitro,” Separatdruck aus: Schweiz. Mschr. Zahnmed. 95: 1118-1129, 1985.Applicant
Nahoum, “The Vacuum Formed Dental Contour Appliance,” N. Y. State Dent. J., 30(9):385-390 (Nov. 1964).Applicant
Nash, “CEREC CAD/CAM Inlays: Aesthetics and Durability in a Single Appointment,” Dent. Today, 9(8):20, 22-23 (Oct. 1990).Applicant
Nishiyama et al., “A New Construction of Tooth Repositioner by LTV Vinyl Silicone Rubber,” J. Nihon Univ. Sch. Dent., 19(2):93-102 (1977).Applicant
Paul et al., “Digital Documentation of Individual Human Jaw and Tooth Forms for Applications in Orthodontics, Oral Surgery and Forensic Medicine” Proc. of the 24th Annual Conf. of the IEEE Industrial Electronics Society (IECON '98), Sep. 4, 1998, pp. 2415-2418.Applicant
Pinkham, “Foolish Concept Propels Technology,” Dentist, 3 pages total, Jan./Feb. 1989.Applicant
Pinkham, “Inventor's CAD/CAM May Transform Dentistry,” Dentist, 3 pages total, Sep. 1990.Applicant
Ponitz, “Invisible Retainers,” Am. J. Orthod., 59(3):266-272 (Mar. 1971).Applicant
PROCERA Research Projects, “PROCERA Research Projects 1993—Abstract Collection,” pp. 3-7. 28 (1993.Applicant
Proffit et al., Contemporary Orthodontics, (Second Ed.), Chapter 15, Mosby Inc., pp. 470-533 (Oct. 1993.Applicant
Raintree Essix & ARS Materials, Inc., Raintree Essix, Technical Magazine Table of contents and q Essix Appliances, <httpz;//www.essix.com/magazine/defaulthtml> Aug. 13, 1997.Applicant
Redmond et al., “Clinical Implications of Digital Orthodontics,” Am. J. Orthod. Dentofacial Orthop., 117(2):240-242 (2000.Applicant
Rekow et a/., “CAD/CAM for Dental Restorations—Some of the Curious Challenges,” IEEE Trans. Biomed. Eng., 38(4):344-345 (Apr. 1991.Applicant
Rekow et al., “Comparison of Three Data Acquisition Techniques for 3-D Tooth Surface Mapping,” LM Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 13(1):344-345 1991.Applicant
Rekow, “A Review of the Developments in Dental CAD/CAM Systems,” (contains references to LN Japanese efforts and content of the papers of particular interest to the clinician are indicated with a one line summary of their content in the bibliography), Curr. Opin. Dent., 2:25-33 (Jun. 1992.Applicant
Rekow, “CAD/CAM in Dentistry: A Historical Perspective and View of the Future,” J. Can. Dent. Assoc., 58(4):283, 287-288 (Apr. 1992.Applicant
Rekow, “Computer-Aided Design and Manufacturing in Dentistry: A Review of the State of the Art,” J. Prosthet. Dent., 58(4):512-516 (Oct. 1987.Applicant
Rekow, “Dental CAD-CAM Systems: What is the State of the Art?”, J. Amer. Dent. Assoc., 122:43-48 1991.Applicant
Rekow, “Feasibility of an Automated System for Production of Dental Restorations, Ph.D. Thesis,” Univ. of Minnesota, 244 pages total, Nov. 1988.Applicant
Richmond et al., “The Development of a 3D Cast Analysis System,” Br. J. Orthod., 13(1):53-54 (Jan. 1986).Applicant
Richmond et al., “The Development of the PAR Index (Peer Assessment Rating): Reliability and Validity,” Eur. J. Orthod., 14:125-139 (1992).Applicant
Richmond, “Recording the Dental Cast in Three Dimensions,” Am. J. Orthod. Dentofacial Orthop., 92(3):199-206 (Sep. 1987).Applicant
Rudge, “Dental Arch Analysis: Arch Form, a Review of the Literature,” Eur. J. Orthod., 3(4):279-284 1981.Applicant
Sakuda et al., “Integrated Information-Processing System in Clinical Orthodontics: An Approach with Use of a Computer Network System,” Am. J. Orthod. Dentofacial Orthop., 101(3): 210-220 (Mar. 1992).Applicant
Schellhas et al., “Three-Dimensional Computed Tomography in Maxillofacial Surgical Planning,” Arch. Otolamp!. Head Neck Sur9., 114:438-442 (Apr. 1988).Applicant
Schroeder et al., Eds. The Visual Toolkit, Prentice Hall PTR, New Jersey (1998) Chapters 6, 8 & 9, (pp. 153-210,309-354, and 355-428, respectively.Applicant
Shilliday, (1971). Minimizing finishing problems with the mini-positioner, Am. J. Orthod. 59:596-599.Applicant
Siemens, “CEREC—Computer-Reconstruction,” High Tech in der Zahnmedizin, 14 pages total (2004).Applicant
Sinclair, “The Readers' Corner,” J. Clin. Orthod., 26(6):369-372 (Jun. 1992.Applicant
Sirona Dental Systems GmbH, CEREC 3D, Manuel utiiisateur, Version 2.0X (in French), 2003,114 pages total.Applicant
Stoll et al., “Computer-aided Technologies in Dentistry,” (article summary in English, article in German), Dtsch Zahna'rztl Z 45, pp. 314-322 (1990).Applicant
Sturman, “Interactive Keyframe Animation of 3-D Articulated Models,” Proceedings Graphics Interface '84, May-Jun. 1984, pp. 35-40.Applicant
The Choice Is Clear: Red, White & Blue . . . The Simple, Affordable, No-Braces Treatment, Allesee HI Orthodontic Appliances-Pro Lab product information for doctors. http://ormco.com/aoa/appliancesservices/RWB/doctorhtml>, 5 pages (May 19, 2003).Applicant
The Choice is Clear: Red, White & Blue . . . The Simple, Affordable, No-Braces Treatment, Allesee HJ Orthodontic Appliances-Pro Lab product information for patients, <http://ormco.com/aoa/appliancesservices/RWB/patients.html>, 2 pages (May 19, 2003).Applicant
The Choice Is Clear: Red, White & Blue . . . The Simple, Affordable, No-Braces Treatment, Allesee Orthodontic Appliances-Pro Lab product information, 6 pages (2003).Applicant
The Red, White & Blue Way to Improve Your Smile! Allesee Orthodontic Appliances-Pro Lab product information for patients, 2 pages 1992.Applicant
Tru-Tain Orthodontic & Dental Supplies, Product Brochure, Rochester, Minnesota 55902, 16 pages total (1996.Applicant
U.S. Department of Commerce, National Technical Information Service, “Automated Crown Replication Using Solid Photography SM,” Solid Photography Inc., Melville NY, Oct. 1977, 20 pages total.Applicant
U.S. Department of Commerce, National Technical Information Service, “Holodontography: An Introduction to Dental Laser Holography,” School of Aerospace Medicine Brooks AFB Tex, Mar. 1973, 37 pages total.Applicant
U.S. Appl. No. 60/050,342, filed Jun. 20,1997, 41 pages total.Applicant
Van Der Linden et al., “Three-Dimensional Analysis of Dental Casts by Means of the Optocom,” J Dent. Res., p. 1100 (Jul.-Aug. 1972).Applicant
Van Der Linden, “A New Method to Determine Tooth Positions and Dental Arch Dimensions,” J. Dent. Res., 51(4):1104 (Jul.-Aug. 1972).Applicant
Van Der Zel, “Ceramic-Fused-to-Metal Restorations with a New CAD/CAM System,” Quintessence Int., 24(11):769-778 (1993.Applicant
Varady et al., “Reverse Engineering of Geometric Models—An Introduction,” Computer-Aided Design, 29(4):255-268,1997.Applicant
Verstreken et al., “An Image-Guided Planning System for Endosseous Oral Implants,” IEEE Trans. Med. Imaging, 17(5):842-852 (Oct. 1998.Applicant
Warunek et al., Physical and Mechanical Properties of Elastomers in Orthodonic Positioners, Am J. Orthod. Dentofac. Orthop, vol. 95, No. 5, (May 1989) pp. 399-400.Applicant
Warunek et.al., Clinical Use of Silicone Elastomer Applicances, JCO (1989) XXIII(10):694-700.Applicant
Wells, Application of the Positioner Appliance in Orthodontic Treatment, Am. J. Orthodont. (1970) 58:351-366.Applicant
Williams, “Dentistry and CAD/CAM: Another French Revolution,” J. Dent. Practice Admin., pp. 2-5 (Jan./Mar. 1987.Applicant
Williams, “The Switzerland and Minnesota Developments in CAD/CAM,” J. Dent. Practice Admin., pp. 50-55 (Apr./Jun. 1987.Applicant
Wishan, “New Advances in Personal Computer Applications for Cephalometric Analysis, Growth Prediction, Surgical Treatment Planning and Imaging Processing,” Symposium: Computerized Facial Imaging in Oral and Maxilofacial Surgery Presented on Sep. 13, 1999.Applicant
WSCG'98—Conference Program, “The Sixth International Conference in Central Europe on Computer Graphics and Visualization '98,” Feb. 9-13, 1998, pp. 1-7, retrieved from the Internet on Nov. 5, 2004, URL<http://wscg.zcu.cz/wscg98/wscg98.h>.Applicant
Xia et al., “Three-Dimensional Virtual-Reality Surgical Planning and Soft-Tissue Prediction for Orthognathic Surgery,” IEEE Trans. Inf. Technol. Biomed., 5(2):97-107 Jun. 2001.Applicant
Yamamoto et al., “Optical Measurement of Dental Cast Profile and Application to Analysis of Three-Dimensional Tooth Movement in Orthodontics,” Front. Med. Biol. Eng., 1(2):119-130 (1988).Applicant
Yamamoto et al., “Three-Dimensional Measurement of Dental Cast Profiles and Its Applications to Orthodontics,” Conf. Proc. IEEE Eng. Med. Biol. Soc., 12(5):2051-2053 (1990).Applicant
Yamany et al., “A System for Human Jaw Modeling Using Intra-Oral Images,” Proc. of the 20th Annual Conf. of the IEEE Engineering in Medicine and Biology Society, Nov. 1, 1998, vol. 2, pp. 563-566.Applicant
Yoshii, “Research on a New Orthodontic Appliance: The Dynamic Positioner (D.P.); I. The D.P. Concept and Implementation of Transparent Silicone Resin (Orthocon),” Nippon Dental Review, 452:61-74 (Jun. 1980.Applicant
Yoshii, “Research on a New Orthodontic Appliance: The Dynamic Positioner (D.P.); II. The D.P. Manufacturing Procedure and Clinical Applications,” Nippon Dental Review, 454:107-130 (Aug. 1980).Applicant
Yoshii, “Research on a New Orthodontic Appliance: The Dynamic Positioner (D.P.); Ill.—The General Concept of the D.P. Method and Its Therapeutic Effect, Part 2. Skeletal Reversed Occlusion Case Reports,” Nippon Dental Review, 458:112-129 (Dec. 1980.Applicant
Yoshii, “Research on a New Orthodontic Appliance: The Dynamic Positioner (D.P.); Ill. The General Concept of the D.P. Method and Its Therapeutic Effect, Part 1, Dental and Functional Reversed Occlusion Case Reports,” Nippon Dental Review, 457:146-164 (Nov. 1980).Applicant
You May Be a Candidate for This Invisible No-Braces Treatment, Allesee Orthodontic Appliances-Pro Lab product information for patients, 2 pages (2002).Applicant