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Publication date
2006Author
Ugail, HassanKeyword
PDE surfacesPartial differential equations
Trimming
Laplace equation
Modeling
Boundary representations
Curve and surface representations
Numerical algorithms and problems
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© 2006 Elsevier. Reproduced in accordance with the publisher's self-archiving policy.Peer-Reviewed
Yes
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Show full item recordAbstract
A 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.Version
Accepted manuscriptCitation
Ugail H (2006) Method of trimming PDE surfaces. Computers & Graphics. 30(2): 225-232.Link to Version of Record
https://doi.org/10.1016/j.cag.2006.01.028Type
Articleae974a485f413a2113503eed53cd6c53
https://doi.org/10.1016/j.cag.2006.01.028