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  • 學位論文

一個對於變動曲面的網格重構之研究

A remeshing study for evolving surfaces

指導教授 : 賴明治

摘要


我們提出了一個以提高網格質量的理念為基礎的重新網格化方法,利用一連串區域的運算來改進網格的幾何性質。其核心技術為Area-based smoothing ,此方法能建造一個非均勻網格,並且能有效地降低鈍角三角形的數目。

並列摘要


We present a remeshing scheme based on the idea of improving mesh quality by a series of local modifications of the mesh geometry and connectivity. The central local modification technique is an area-based smoothing technique. Area-based smoothing allows the control of both triangle quality and vertex sampling over the mesh, as a function of some criteria, e.g. the mesh curvature. The algorithm is able to create an unstructured mesh, and reduce irregular vertices efficiently.

並列關鍵字

Remeshing Triangular mesh Obtuse triangles

參考文獻


hermite diuse interpolation. International Journal for Numerical Methods in
Engineering, 49:31{49, 2000.
[2] Pierre Alliez, Mark Meyer, and Mathieu Desbrun. Interactive geometry remeshing.
[4] Michael S. Floater. Parametrization and smooth approximation of surface triangulations.
Comput. Aided Geom. Des., 14(3):231{250, 1997.

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