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dc.contributor.authorUgail, Hassan*
dc.date.accessioned2009-05-21T15:02:23Z
dc.date.available2009-05-21T15:02:23Z
dc.date.issued2003
dc.identifier.citationUgail, 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.en
dc.identifier.urihttp://hdl.handle.net/10454/2687
dc.descriptionyesen
dc.description.abstractThe 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.en
dc.language.isoenen
dc.publisherSpringeren
dc.relation.isreferencedbyhttp://www.springerlink.com/content/lu8w4kdqdnna/?sortorder=asc&p_o=20en
dc.rights© 2003 Springer. Reproduced in accordance with the publisher's self-archiving policy.en
dc.subjectPDE surfacesen
dc.subjectPartial differential equations (PDEs)en
dc.titleOn the spine of a PDE surfaceen
dc.status.refereedYesen
dc.typeConference paperen
dc.type.versionAccepted Manuscripten
refterms.dateFOA2018-07-18T13:32:24Z


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