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Fractal Image Compression: Theory and Application

TLDR
Working C code for a fractal encoding/decoding scheme capable of encoding images in a few seconds, decoding at arbitrary resolution, and achieving high compression rations is proposed.
Abstract
From the contents: Recent theoretical results on fast encoding and decoding methods, various schemes for encoding images using fractal methods, and theoretical models for the encoding/decoding process.- Working C code for a fractal encoding/decoding scheme capable of encoding images in a few seconds, decoding at arbitrary resolution, and achieving high compression rations.- Experimental results from various schemes showing their capability and forming the basis for a sophisticated implementation.- A list of previously unresearched projects containing both new ideas and inhancements to the schemes discussed in the book.- A comparison of the fractal schemes in the book with JPEG, commercial fractal software, and wavelet methods.

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Citations
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Book

Fractal Image Compression

TL;DR: Data compression with fractals is an approach to reach high compression ratios for large data streams related to images, at a cost of large amounts of computation.
Proceedings ArticleDOI

A Descriptive Algorithm for Sobel Image Edge Detection

TL;DR: The Sobel operator performs a 2-D spatial gradient measurement on images to enhance the removal of redundant data, as a result, reduction of the amount of data is required to represent a digital image.
Journal ArticleDOI

Simplicity: a unifying principle in cognitive science?

TL;DR: Research exploring the idea that simplicity drives a wide range of cognitive processes is reviewed, outlining mathematical theory, computational results and empirical data that underpin this viewpoint.
Journal ArticleDOI

Fractional differentiation for edge detection

TL;DR: This paper demonstrates how introducing an edge detector based on noninteger (fractional) differentiation can improve the criterion of thin detection, or detection selectivity in the case of parabolic luminance transitions, and the criterionof immunity to noise, which can be interpreted in term of robustness to noise in general.
Journal ArticleDOI

A review of the fractal image coding literature

TL;DR: This review represents a survey of the most significant advances, both practical and theoretical, since the publication of Jacquin's original fractal coding scheme.