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Geometric computation theory for morphological filtering on freeform surfaces

Lou, Shan, Jiang, Xiang and Scott, Paul J. (2013) Geometric computation theory for morphological filtering on freeform surfaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2159). p. 20130150. ISSN 1364-5021

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Abstract

Surfaces govern functional behaviours of geometrical products, especially high precision and high added-value products. Compared to the mean-line based filters, morphological filters, evolved from the traditional E-system, are relevant to functional performance of surfaces. The conventional implementation of morphological filters based on image processing does not work for state-of-the-art surfaces, for example freeform surfaces. A set of novel geometric computation theory is developed by applying the alpha shape to the computation. Divide and conquer optimisation is employed to speed up the computational performance of the alpha shape method and reduce memory usage. To release the dependence of the alpha shape method on the Delaunay triangulation, a set of definitions and propositions for the search of contact points is presented and mathematically proved based on alpha shape theory, which are applicable to both circular and horizontal flat structuring elements. The developed methods are verified through experimentation.

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Item Type: Article
Subjects: T Technology > TJ Mechanical engineering and machinery
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies > EPSRC Centre for Innovative Manufacturing in Advanced Metrology
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Depositing User: Shan Lou
Date Deposited: 05 Sep 2013 13:49
Last Modified: 05 Nov 2015 13:17
URI: http://eprints.hud.ac.uk/id/eprint/18242

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