A Study on Partitioned Iterative Function Systems for Image Compression

The technique of image compression using Iterative Function System IFS is known as fractal image compression An extension of IFS theory is called as Partitioned or local Iterative Function System PIFS for coding the gray level images The theory of PIFS appears to be di erent from that of IFS in the sense of application domain Assuming the theory of PIFS is same as that of IFS several techniques of image compression have been developed In the present article we have studied the PIFS scheme as a separate one and proposed a mathematical formulation for the existence of its attractor Moreover the results of a Genetic Algorithm GA based PIFS technique is presented This technique appears to be e cient in the sense of computational cost