Spine based shape parameterisation for PDE surfaces

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 su...

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Bibliographic Details
Published in:	Computing 2004-04, Vol.72 (1-2), p.195-206
Main Author:	UGAIL, H
Format:	Article
Language:	eng
Subjects:	Algorithmics. Computability. Computer arithmetics Applied sciences Boundary conditions Computer science control theory systems Design Exact sciences and technology Mathematical analysis Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Numerical controls Partial differential equations Sciences and techniques of general use Studies Theoretical computing
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Summary:	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. [PUBLICATION ABSTRACT]
ISSN:	0010-485X 1436-5057