Image Compressing Method Compressing an Image Into a Compressed Image and Error Coefficients

1. An image compression method for compressing a gray scale original image with a plurality of pixels comprising the steps of: i) diminishing in size said gray scale image step by step so that a plurality of diminished images are generated, and continuing to diminish in size said image until reaching a minimal diminished image representing a final amount of compression by the following steps: a) dividing an image to be diminished into a plurality of partial areas with substantially equal size to one another; b) calculating a mean pixel value of pixels in each partial area so that each said mean pixel value is defined as a representative pixel value of each said partial area; and c) substituting one pixel with said representative pixel value for said pixels of each said partial area; ii) enlarging in size the minimal diminished image into said plurality of diminished images step by step, thereby obtaining a plurality of enlarged images corresponding in size to said plurality of diminished images, respectively, but differing in content from said diminished images, by adding one pixel between two adjacent pixels of an image to be enlarged, said one pixel to be added having a pixel value of an average pixel value of said adjacent pixels; iii) comparing corresponding pixel values of said diminished image and enlarged image to each other to determine a plurality of compared images indicative of differences therebetween, each pixel value of said compared image being a binary value indicating which pixel value of said images is larger than the other; iv) calculating error coefficients for each enlarged image representing a total error between said pixel value of said enlarged image and said diminished image; and v) representing said gray scale original image by said diminished images, said compared images and said error coefficients.

2. An image compression method as claimed in claim 1, wherein said error coefficient is calculated by averaging square root of said differences of said pixel values.

3. A method of compressing images into components, comprising the steps of: a) obtaining an original image; b) compressing a predetermined area of said image into a reduced predetermined area; c) taking another area of a decreased image formed by a plurality of reduced predetermined areas and compressing said another area into another reduced predetermined area; d) repeating said step c) until obtaining a minimized image of a desired reduction; e) enlarging said minimized image to form a first enlarged image of a same size as one of said decreased images; f) comparing said first enlarged image with said one decreased image to determine an error therebetween, and producing values indicative of the error; g) repeating steps e) and f) until obtaining an enlarged image which is the same size as said original image; and h) outputting said minimized image and said values indicative of the error as compressed image information.