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dc.contributor.authorGonzalez Castro, Gabriela
dc.contributor.authorUgail, Hassan
dc.date.accessioned2009-05-14T14:55:56Z
dc.date.available2009-05-14T14:55:56Z
dc.date.issued2007
dc.identifier.citationGonzalez Castro, G. and Ugail, H. (2007). Shape morphing of complex geometries using partial differential equations. Journal of Multimedia, Vol. 2, No. 6, pp. 15-25.en
dc.identifier.urihttp://hdl.handle.net/10454/2643
dc.description.abstractAn alternative technique for shape morphing using a surface generating method using partial differential equations is outlined throughout this work. The boundaryvalue nature that is inherent to this surface generation technique together with its mathematical properties are hereby exploited for creating intermediate shapes between an initial shape and a final one. Four alternative shape morphing techniques are proposed here. The first one is based on the use of a linear combination of the boundary conditions associated with the initial and final surfaces, the second one consists of varying the Fourier mode for which the PDE is solved whilst the third results from a combination of the first two. The fourth of these alternatives is based on the manipulation of the spine of the surfaces, which is computed as a by-product of the solution. Results of morphing sequences between two topologically nonequivalent surfaces are presented. Thus, it is shown that the PDE based approach for morphing is capable of obtaining smooth intermediate surfaces automatically in most of the methodologies presented in this work and the spine has been revealed as a powerful tool for morphing surfaces arising from the method proposed here.en
dc.language.isoenen
dc.publisherAcademy Publisheren
dc.relation.isreferencedbyhttp://www.academypublisher.com/jmm/en
dc.rights© 2007 Academy Publisher. Reproduced in accordance with the publisher's self-archiving policy.en
dc.subjectMorphingen
dc.subjectPDE surfacesen
dc.subjectGeometric modellingen
dc.subjectPDE methoden
dc.subjectGeometric algorithmsen
dc.subjectBoundary representationsen
dc.subjectPartial differential equationsen
dc.titleShape morphing of complex geometries using partial differential equations.en
dc.status.refereedYesen
dc.typeArticleen
dc.type.versionpublished version paperen
refterms.dateFOA2018-07-18T13:37:28Z


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