mk:wstst05

Summary

Universal Representation of Image Functions by the Sprecher Construction. Mario Köppen and Kaori Yoshida. In Soft Computing as Transdisciplinary Science and Technology, pages 202-210, 2005.

Abstract

This paper proposes a procedure for representing image functions by a computation in two layers. It is recalled that the general function representation needs more layers than two, using the Stone-Weierstrass theorem for approximation in three layers, and the Kolmogorov theorem for representation in four layers. For achieving representation in two layers only, the requirement on a continuous representation has to removed. The Sprecher construction presented here is a general procedure for yielding such a representation in two layers. It can be used to compress images, to represent pixels and their neighborhoods directly, or to represent image operators.

Bibtex entry

@INPROCEEDINGS { mk:wstst05,
    ABSTRACT = { This paper proposes a procedure for representing image functions by a computation in two layers. It is recalled that the general function representation needs more layers than two, using the Stone-Weierstrass theorem for approximation in three layers, and the Kolmogorov theorem for representation in four layers. For achieving representation in two layers only, the requirement on a continuous representation has to removed. The Sprecher construction presented here is a general procedure for yielding such a representation in two layers. It can be used to compress images, to represent pixels and their neighborhoods directly, or to represent image operators. },
    AUTHOR = { Mario Köppen and Kaori Yoshida },
    BOOKTITLE = { Soft Computing as Transdisciplinary Science and Technology },
    ADDED = { 2007-05-16 22:01:23 +0900 },
    MODIFIED = { 2008-02-28 13:03:09 +0900 },
    EDITOR = { Abraham, A. and Dote, Y. and Furuhashi, T. and Koeppen, M. and Ohuchi, A. and Ohsawa, Y. },
    HASABSTRACT = { Yes },
    PAGES = { 202-210 },
    PDF = { wstst05.pdf },
    PUBLISHER = { Springer Berlin / Heidelberg },
    TITLE = { Universal Representation of Image Functions by the Sprecher Construction },
    YEAR = { 2005 },
}

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News

Next conferences COMPSAC 2014 (Vasteras, Sweden, July 2014), INCoS-2014 (Salerno, Italy, September 2014).

New edited book "Soft Computing in Industrial Applications", V. Snasel, P. Kroemer, M. Koeppen, G. Schaefer, Springer AISC 223, July 2013.