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Zhao Jianjun
Wang Qifu
Zhong Yifang
Zhou Ji
Zhao Yi
CAD Center,
Huazhong University of Science
and Technology,
Wuhan 430074, China |
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DELAUNAY TRIANGULATION METHOD
OF CURVED SURFACES BASED
ON RIEMANNIAN METRIC*
Abstract:
A method for quality mesh generation of parametric curved surfaces is proposed. It is shown that the main difference between the proposed method and previous ones is that our meshing process is done completely in the parametric domains with the guarantee of mesh quality. To obtain this aim, the Delaunay method is extended to anisotropic context of 2D domains, and a Riemannian metric map is introduced to remedy the mapping distortion from object space to parametric domain. Compared with previous algorithms, the approach is much simpler, more robust and speedy. The algorithm is implemented and examples for several geometries are presented to demonstrate the efficiency and validity of the method.
Key words: Mesh generation Riemannian metric Delaunay triangulation Curved surfaces |