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 },
}