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https://doi.org/10.1016/j.cagd.2006.06.002
| Title: | Inherently improper surface parametric supports | Authors: | Chionh, E.-W. Gao, X.-S. Shen, L.-Y. |
Keywords: | Improper parametrizations Inherently improper supports Reparametrization Support transformation |
Issue Date: | 2006 | Citation: | Chionh, E.-W., Gao, X.-S., Shen, L.-Y. (2006). Inherently improper surface parametric supports. Computer Aided Geometric Design 23 (8) : 629-639. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cagd.2006.06.002 | Abstract: | We identify a class of monomial supports that are inherently improper because any surface rational parametrization defined on them is improper. A surface support is inherently improper if and only if the gcd of the normalized areas of the triangular sub-supports is non-unity. The constructive proof of this claim can be used to detect all and correct almost all improper surface parametrizations due to improper supports. © 2006 Elsevier B.V. All rights reserved. | Source Title: | Computer Aided Geometric Design | URI: | http://scholarbank.nus.edu.sg/handle/10635/39576 | ISSN: | 01678396 | DOI: | 10.1016/j.cagd.2006.06.002 |
| Appears in Collections: | Staff Publications |
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