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From: cnbr37@vaxa.strath.ac.uk
Newsgroups: comp.compression
Subject: Re: Fractal Image Compression (and wavelets)
Message-ID: <1991Jun27.121605.11974@vaxa.strath.ac.uk>
Date: 27 Jun 91 12:16:05 GMT
References: <1991Jun20.193546.10135@uicbert.eecs.uic.edu> <ABOULANG.91Jun22124200@taurus.bbn.com>
Distribution: comp
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In article <ABOULANG.91Jun22124200@taurus.bbn.com>, aboulang@bbn.com (Albert Boulanger) writes:
> In article <1991Jun20.193546.10135@uicbert.eecs.uic.edu> hart@uicbert.eecs.uic.edu (John C. Hart) writes:
> 
> 
>    The only methods I am aware of are by Arnaud Jacquin and Ed Vrscay. These
>    two methods will be summarized at SIGGRAPH '91 in the Fractal Models in
>    Computer Graphics course. Jacqin's method is a block-coding, Vrscay's method
>    uses power moments. Is anybody aware of any others? Others besides of course
>    the famous Barnsley top-secret method.
> 
> Moments were used in Barnsley's Royal Society paper. A neural net to
> compute the Hutchinson metric used in the closeness calculation in the
> inverse problem is described in:
> 
> "A Neural Network to Compute the Hutchinson Metric in Fractal Image Processing"
> J. Stark, IEEE Trans. on Neural Networks, Vol 2 No 1, January 1991, 156,158
> 
> A novel optimization method used in the inverse problem, which has
> some of the features of "tabu" search, because it involves marking
> points in search space with positive and negative affinities is
> described in:
> 
> "Chaotic Optimization and the Construction of Fractals: Solution of an
> Inverse Problem", Giorgio Mantica & Alan Sloan, Complex Systems
> 3(1989) 37-62.
> 
> Interestingly, IFS Fractals and Wavelets share many properties. Some
> of which is explored in:
> 
> "IFS Fractals and the Wavelet Transform", G.C. Freeland & T.S. Durrani,
> 1990 ICASSP proceedings, 2345-2348
> 
> 
> Wavelets are good for measuring empirical fractal properties of signals
> in general.
> 
> Recuse, of course,
> 
> Albert Boulanger
> aboulanger@bbn.com

What is important, particularly in the practicality of the all the
above methods, is to distinguish between the methods of inverse
solution and a difference in the underlying model. It was a change
of model which led to the Barnsley and Jacquin techniques and to
an applicable coding method.

G.C.Freeland.