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Spine based shape parameterisation for PDE surfaces

Ugail, Hassan
Publication Date
2009-05-15
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Keywords
Spine on skeleton, Parametric design, Partial differential equations (PDEs), PDE surfaces
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© 2004 Springer. Reproduced in accordance with the publisher's self-archiving policy.
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openAccess
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Engineering and Digital Technology Publications
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UgailComputingSpine2004.pdf
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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.
URI
http://hdl.handle.net/10454/2649
Version
Accepted manuscript
Citation
Ugail, H. (2004). Spine based shape parameterisation for PDE surfaces. Computing. Vol. 72, No.1-2, pp. 195-206.
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Link to Version of Record
https://doi.org/10.1007/s00607-003-0057-8
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Article
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