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An overview of the relationship between approximation theory and filtration

Scott, Paul J., Jiang, Xiang and Blunt, Liam (2002) An overview of the relationship between approximation theory and filtration. In: Algorithms for approximation IV : the proceedings of the Fourth International Symposium on Algorithms for Approximation, held at the University of Huddersfield, July 2001. University of Huddersfield, Huddersfield, pp. 188-196. ISBN 1862180407

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Abstract

This refereed conference paper gives the mathematical foundations and generic definition for filtration that goes beyond the
usual definition of linear filters and includes exotic filters such as: morphological filters, robust filter, segmentation filters and
other non-linear filters. The relationship between filtration and the established theory of approximation is established. It shows
that although both fields use the same kind of mathematical objects they are used in different ways with different criteria of fit.
The results from this paper formed the basis of a recently published International Standard on filtration: the ISO/TS 16610
series.

Item Type: Book Chapter
Additional Information: UoA 25 (General Engineering)
Subjects: T Technology > T Technology (General)
Q Science > QA Mathematics
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies
School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
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Depositing User: Briony Heyhoe
Date Deposited: 01 Oct 2008 11:18
Last Modified: 26 Nov 2010 12:14
URI: http://eprints.hud.ac.uk/id/eprint/2055

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