Inherently improper surface parametric supports

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. Key words: Inherently improper supports, improper parametrizations, support transformation, reparametrization

• Type: Journal
• Year: 2006
• Where: CAGD
• Authors: Eng-Wee Chionh, Xiao-Shan Gao, Liyong Shen
• Keywords: CAGD 2006, Improper Supports, Improper Surface Parametrizations, Rational Parametrization