A hybrid fractal transform

Authors:
D. M. Monro
Affiliations:
School of Electronic and Electrical Engineering, University of Bath, Bath, England
Venue:
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
Year:
1993

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Abstract

This paper presents a generalization of fractal coding of images, in which image blocks are represented by mappings derived from least squares approximations using fractal functions. Previously known matching techniques used in Fractal Transforms are subsets of this generalized method, which is called the Bath Fractal Transform (BFT). By introducing searching for the best image region for application of the BFT, a hybrid of known methods is achieved. Their fidelity is evaluated by a rms error measure for a number of polynomial instances of the BFT, over a range of searching levels using a standard test image. The method readily extends to data of higher or lower dimensions, including time as in image sequences.