Computer Science – Computer Vision and Pattern Recognition
Scientific paper
2000-03-15
Computer Science
Computer Vision and Pattern Recognition
This is a full paper submitted to Data Compression Conference '96; 10 pages; The abstract of this paper was published in Proc.
Scientific paper
Fractal image compression, Culik's image compression and zerotree prediction coding of wavelet image decomposition coefficients succeed only because typical images being compressed possess a significant degree of self-similarity. Besides the common concept, these methods turn out to be even more tightly related, to the point of algorithmical reducibility of one technique to another. The goal of the present paper is to demonstrate these relations. The paper offers a plain-term interpretation of Culik's image compression, in regular image processing terms, without resorting to finite state machines and similar lofty language. The interpretation is shown to be algorithmically related to an IFS fractal image compression method: an IFS can be exactly transformed into Culik's image code. Using this transformation, we will prove that in a self-similar (part of an) image any zero wavelet coefficient is the root of a zerotree, or its branch. The paper discusses the zerotree coding of (wavelet/projection) coefficients as a common predictor/corrector, applied vertically through different layers of a multiresolutional decomposition, rather than within the same view. This interpretation leads to an insight into the evolution of image compression techniques: from a causal single-layer prediction, to non-causal same-view predictions (wavelet decomposition among others) and to a causal cross-layer prediction (zero-trees, Culik's method).
Fisher Paul
Kiselyov Oleg
No associations
LandOfFree
Image Compression with Iterated Function Systems, Finite Automata and Zerotrees: Grand Unification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Image Compression with Iterated Function Systems, Finite Automata and Zerotrees: Grand Unification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Image Compression with Iterated Function Systems, Finite Automata and Zerotrees: Grand Unification will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-262124