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.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/2648 |
| Date | January 2006 |
| Creators | Ugail, Hassan |
| Publisher | Elsevier |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Article, Accepted manuscript |
| Rights | © 2006 Elsevier. Reproduced in accordance with the publisher's self-archiving policy. |
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