Spine Based Shape Parameterisation for PDE Surfaces

Hassan Ugail ()
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Hassan Ugail: University of Bradford, Department of Electronic Imaging and Media Communications, School of Informatics

A chapter in Geometric Modelling, 2004, pp 195-206 from Springer

Abstract: Abstract The aim of this paper is to show how the spine of a PDE surface can be generated and how it can be used to efficiently parameterise a PDE surface. For the purpose of the work presented here an approximate analytic solution form for the chosen PDE is utilised. It is shown that the spine of the PDE surface is then computed as a by-product of this analytic solution. Furthermore, it is shown that a parameterisation can be introduced on the spine enabling intuitive manipulation of PDE surfaces.

Keywords: Spine on skeleton; parametric design; partial differential equations; 25A30; 35J55; 51H99 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_16

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DOI: 10.1007/978-3-7091-0587-0_16

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