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dc.contributor.authorUgail, Hassan*
dc.date.accessioned2009-05-15T15:30:14Z
dc.date.available2009-05-15T15:30:14Z
dc.date.issued2006
dc.identifier.citationUgail H (2006) Method of trimming PDE surfaces. Computers & Graphics. 30(2): 225-232.en
dc.identifier.urihttp://hdl.handle.net/10454/2648
dc.description.abstractA method for trimming surfaces generated as solutions to Partial Differential Equations (PDEs) is presented. The work we present here utilises the 2D parameter space on which the trim curves are defined whose projection on the parametrically represented PDE surface is then trimmed out. To do this we define the trim curves to be a set of boundary conditions which enable us to solve a low order elliptic PDE on the parameter space. The chosen elliptic PDE is solved analytically, even in the case of a very general complex trim, allowing the design process to be carried out interactively in real time. To demonstrate the capability for this technique we discuss a series of examples where trimmed PDE surfaces may be applicable.en
dc.language.isoenen
dc.publisherElsevieren
dc.rights© 2006 Elsevier. Reproduced in accordance with the publisher's self-archiving policy.en
dc.subjectPDE surfacesen
dc.subjectPartial differential equationsen
dc.subjectTrimmingen
dc.subjectLaplace equationen
dc.subjectModelingen
dc.subjectBoundary representationsen
dc.subjectCurve and surface representationsen
dc.subjectNumerical algorithms and problemsen
dc.titleMethod of trimming PDE surfacesen
dc.status.refereedYesen
dc.typeArticleen
dc.type.versionAccepted manuscripten
dc.identifier.doihttps://doi.org/10.1016/j.cag.2006.01.028
refterms.dateFOA2018-07-18T13:37:58Z


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