We present an efficient method for reconstructing complex geometry using an elliptic Partial Differential Equation (PDE) formulation. The integral part of this work is the use of three-dimensional curves within the physical space which act as boundary conditions to solve the PDE. The chosen PDE is solved explicitly for a given general set of curves representing the original shape and thus making the method very efficient. In order to improve the quality of results for shape representation we utilize an automatic parameterization scheme on the chosen curves. With this formulation we discuss our methodology for shape representation using a series of practical examples.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/2645 |
| Date | January 2006 |
| Creators | Ugail, Hassan, Kirmani, S. |
| Publisher | World Scientific and Engineering Academy and Society (WSEAS) |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Article, published version paper |
| Rights | © 2006 World Scientific and Engineering Academy and Society (WSEAS). Reproduced in accordance with the publisher's self-archiving policy. |
| Relation | http://www.worldses.org/journals/computers/ |
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