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On the spine of a PDE surface
Ugail, Hassan
Ugail, Hassan
Publication Date
2003
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© 2003 Springer. Reproduced in accordance with the publisher's self-archiving policy.
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openAccess
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Abstract
The spine of an object is an entity that can characterise the
object¿s topology and describes the object by a lower dimension. It has
an intuitive appeal for supporting geometric modelling operations.
The aim of this paper is to show how a spine for a PDE surface can
be generated. For the purpose of the work presented here an 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.
This paper also discusses how the of a PDE surface can be used to manipulate
the shape. The solution technique adopted here caters for periodic
surfaces with general boundary conditions allowing the possibility of the
spine based shape manipulation for a wide variety of free-form PDE surface
shapes.
Version
Accepted manuscript
Citation
Ugail, H. (2003). On the spine of a PDE surface. In: Wilson, M. J. and Martin, R. R. (eds.). Mathematics of Surfaces: Proceedings of the 10th IMA International Conference, Leeds, UK, September 15-17. Berlin: Springer, pp. 366-376. ISBN 978-3-540-20053-6.
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Type
Conference paper