Patent ID: H002179

Claim:
A digital image compression, transmission and reconstruction process comprising the steps of: Compressing a digital image in which image data for i th and J th pixel is Iij for a continuous function W(x,y) using âŒ© E âŒª k = âˆ‘ i â¢ â¢ âˆ‘ j â¢ I i â¢ â¢ j â¢ W i â¢ â¢ j â¢ â¢ k Where information entropy equation becomes S â‰¡ âˆ‘ i â¢ â¢ âˆ‘ j â¢ I i â¢ â¢ j â¢ ln â¢ I i â¢ â¢ j p i â¢ â¢ j And where pij is a prior value of the i,j th pixel, such that these are set to unity, and transmitting compressed image data over a media to a receiver; and reconstructing image data Iâ€²ij using a Lagrange multiplier Î³ k using: I i â¢ â¢ j â€² = p i â¢ â¢ j â¢ exp â¡ [ - âˆ‘ k = 1 N â¢ â¢ Î» k â¢ W i â¢ â¢ j â¢ â¢ k ] Where values of the Langrange multipliers are determined from the solution of the set of N equations, âŒ© E âŒª k = âˆ‘ i â¢ â¢ âˆ‘ j â¢ exp â¡ [ - âˆ‘ n = 1 N â¢ â¢ Î» n â¢ W i â¢ â¢ j â¢ â¢ n ] â¢ W i â¢ â¢ j â¢ â¢ k = 0 , â¢ for â¢ â¢ k = 1 , 2 , â€¦ â¢ â¢ N and prior to compressing images and reconstruction them, N compression functions are W k (x,y) for k=1,2, . . . N.