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On compression and modelling of images

On compression and modelling of images - Some methods of data compression are considered. The methods are based on the approximation theory of functions and the fractal theory. The algorithm is proposed which is implemented for compression and reconstruction of the data on the California earthquake epicentres and the image of a mountainous region. We consider some methods of data compression, which are based on the function approximation theory and the fractal theory. The methods are applied to the database of earthquake epicentres in the state of California (1932-1994) [6] and the image of a mountainous region. The above data has been put at our disposal by the Institute of Earthquake Prediction Theory and Mathematical Geophysics, the Russian Academy of Sciences. The problem of economical conservation and transmission of numerical data is an urgent problem in many branches of science and technology. One can find some ways of data compression in [1,5,7]. In fact each way is effective for a specific class of data. The approximation theory methods are commonly used for processing smooth functions and sets with regular bounds. Specific methods are used for processing fractals. An investigation of fractals has begun in the past few years thanks to Mandelbrot's works (see [4]). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Journal of Numerical Analysis and Mathematical Modelling de Gruyter

On compression and modelling of images

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Publisher
de Gruyter
Copyright
Copyright © 2009 Walter de Gruyter
ISSN
0927-6467
eISSN
1569-3988
DOI
10.1515/rnam.1996.11.4.275
Publisher site
See Article on Publisher Site

Abstract

- Some methods of data compression are considered. The methods are based on the approximation theory of functions and the fractal theory. The algorithm is proposed which is implemented for compression and reconstruction of the data on the California earthquake epicentres and the image of a mountainous region. We consider some methods of data compression, which are based on the function approximation theory and the fractal theory. The methods are applied to the database of earthquake epicentres in the state of California (1932-1994) [6] and the image of a mountainous region. The above data has been put at our disposal by the Institute of Earthquake Prediction Theory and Mathematical Geophysics, the Russian Academy of Sciences. The problem of economical conservation and transmission of numerical data is an urgent problem in many branches of science and technology. One can find some ways of data compression in [1,5,7]. In fact each way is effective for a specific class of data. The approximation theory methods are commonly used for processing smooth functions and sets with regular bounds. Specific methods are used for processing fractals. An investigation of fractals has begun in the past few years thanks to Mandelbrot's works (see [4]).

Journal

Russian Journal of Numerical Analysis and Mathematical Modelling – de Gruyter

Published: Jan 1, 1996

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