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Spine Based Shape Parameterisation for PDE Surfaces

In: Geometric Modelling

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  • Hassan Ugail

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

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.

Suggested Citation

  • Hassan Ugail, 2004. "Spine Based Shape Parameterisation for PDE Surfaces," Springer Books, in: Stefanie Hahmann & Guido Brunnett & Gerald Farin & Ron Goldman (ed.), Geometric Modelling, pages 195-206, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-0587-0_16
    DOI: 10.1007/978-3-7091-0587-0_16
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