Continuous extension of discrete transform for data processing

Abstract

A method of compressing and decompressing an image dataset. The method includes providing an image dataset to be compressed and defining a compression factor, selecting a block size than 15 and a block overlap of two or more grid points, compressing said image dataset using said block size and said defined compression factor to obtain a compressed image dataset, and decompressing said compressed image dataset and performing grid point interpolation at or near said block overlap to obtain a decompressed image dataset.

1 . A method of compressing and decompressing an image dataset, the method comprising:
 providing an image dataset to be compressed and defining a compression factor;   selecting a block size than 15 and a block overlap of two or more grid points;   compressing said image dataset using said block size and said defined compression factor to obtain a compressed image dataset; and   decompressing said compressed image dataset and performing grid point interpolation at or near said block overlap to obtain a decompressed image dataset.   
     
     
         2 . The method as claimed in  claim 1 , wherein said block size is greater than 16 pixels. 
     
     
         3 . The method as claimed in  claim 1 , wherein said block size is greater than 32 pixels. 
     
     
         4 . The method as claimed in  claim 1 , wherein said block size is greater than 64 pixels. 
     
     
         5 . The method as claimed in  claim 1 , wherein said compressing comprises:
 calculating forward discrete orbit function transform (DOFT) coefficients representing each block of said image dataset having said block size; wherein said decompressing comprises:   determining at least one continuous extension of discrete orbit function transform (CEDOFT) representing said blocks of said image dataset using said DOFT coefficients;   defining a different spatial resolution; and   calculating a decompressed image dataset using said at least one CEDOFT and said different spatial resolution.   
     
     
         6 . A method of compressing and decompressing an image dataset, the method comprising:
 providing an image dataset to be compressed and defining a compression factor, wherein said image dataset when compressed and decompressed using a discrete cosine transform and block size of 16 results in noticeable block artifacts;   selecting a suitably larger block size greater than 16;   compressing said image dataset using said suitably larger block size and said defined compression factor to obtain a compressed image dataset; and   decompressing said compressed image dataset to obtain a decompressed image dataset having no noticeable block artifacts.   
     
     
         7 . The method as claimed in  claim 6 , wherein said suitably larger block size is greater than 32 pixels. 
     
     
         8 . The method as claimed in  claim 6 , wherein said suitably larger block size is greater than 64 pixels. 
     
     
         9 . The method as claimed in  claim 6 , wherein said suitably larger block size is greater than 128 pixels. 
     
     
         10 . The method as claimed in  claim 6 , wherein said compressing comprises:
 calculating forward discrete orbit function transform (DOFT) coefficients representing each block of said image dataset having said suitably larger block size;   
       wherein said decompressing comprises:
 determining at least one continuous extension of discrete orbit function transform (CEDOFT) representing said blocks of said image dataset using said DOFT coefficients; 
 defining a different spatial resolution; and 
 calculating a decompressed image dataset using said at least one CEDOFT and said different spatial resolution.