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dc.contributor.authorUgail, Hassan*
dc.date.accessioned2009-02-26T09:58:04Z
dc.date.available2009-02-26T09:58:04Z
dc.date.issued2005
dc.identifier.citationUgail, H. (2005). Method of Boundary Based Smooth Shape Design. In: Hamza, M .H. (ed.) Proceedings of the IASTED International Conference on Computer Graphics and Imaging (CGIM 2005) August 15-17, 2005, Honolulu, Hawaii. Calgary: ACTA Press: 54-59.en
dc.identifier.urihttp://hdl.handle.net/10454/2431
dc.description.abstractThe discussion in this paper focuses on how boundary based smooth shape design can be carried out. For this we treat surface generation as a mathematical boundary-value problem. In particular, we utilize elliptic Partial Differential Equations (PDEs) of arbitrary order. Using the methodology outlined here a designer can therefore generate the geometry of shapes satisfying an arbitrary set of boundary conditions. The boundary conditions for the chosen PDE can be specified as curves in 3-space defining the profile geometry of the shape. We show how a compact analytic solution for the chosen arbitrary order PDE can be formulated enabling complex shapes to be designed and manipulated in real time. This solution scheme, although analytic, satisfies exactly, even in the case of general boundary conditions, where the resulting surface has a closed form representation allowing real time shape manipulation. In order to enable users to appreciate the powerful shape design and manipulation capability of the method, we present a set of practical examplesen
dc.language.isoenen
dc.relation.isreferencedbyhttp://www.actapress.com/Content_of_Proceeding.aspx?proceedingid=313en
dc.rights© 2005 IASTED and ACTA Press. Reproduced in accordance with the publisher's self-archiving policy.en
dc.subjectSmooth shape designen
dc.subject; Boundary-value problemsen
dc.subject; PDEsen
dc.titleMethod of boundary based smooth shape designen
dc.status.refereedYesen
dc.typeConference paperen
dc.type.versionAccepted Manuscripten
refterms.dateFOA2018-07-18T02:19:35Z


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