Mathematical Framework to Show the Existence of Attractor of Partitioned Iterative Function Systems
Abstract
The technique of image compression using Iterative Function System (IFS) is known as fractal image compression. An extension of IFS theory is Partitioned or local Iterative Function System (PIFS) for coding the level images. Several techniques of PIFS based image compression have already been proposed by many researchers. The theory of PIFS appears to be different from the theory of IFS in the sense of application domain. In the present article we have proposed a mathematical formulation for the of the attractor of PIFS, assuming it as a separate scheme, in the context of image compression. It has been shown that the attractor is an approximant of the given target image. The experimental results have also been presented in support of the theory. The experimental results have been obtained by using a GA based PIFS technique proposed by Mitra et al.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1997
- Accession Number
- ADA332396
Entities
People
- C. A. Murthy
- Suman K. Mitra
Organizations
- Pennsylvania State University