An application of the fixed point theorem to image compression.

Title: An application of the fixed point theorem to image compression.
Identifier: AAI9946150
identifier: 9946150
Creator: Cherif, Chokri.
Contributor: Adviser: Robert Sibner
Date: 1999
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: Let W be a contraction on the complete metric space (E,d) with contractivity factor s and fixed point f. Let g be in E. Then d(f,g) ≤ (1/(1 - s)) d(g, W(g)). Thus, by minimizing the distance between g and W(g) (the collage of the image), we hope to minimize the distance between the fixed point f and the given image g. Of course, if the value of s is close to 1, nothing ensures that this method provides a good approximation. In this work we present a new approach of construction of the operator W that guarantees a better fidelity due to the better bound we put on d( f,g), without any cost on compression.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.