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任意曲面的三角形网格划分

TRIANGLE MESHING FOR SURFACE

  • 摘要: 把曲面分为可展曲面和不可展曲面,对可展曲面用曲面展开算法展成平面,对不可展曲面用曲面分割算法转化成平面片,在平面上运用Delaunay三角划分法进行网格划分,然后把网格节点反映射到曲面上,从而实现任意曲面的三角形网格划分。

     

    Abstract: This paper classifies surfaces into developable surface and undevelopable surface.The former can be converted into plane with surface-developing algorithm,while the latter can be divided into planes with surface-dividing algorithm.The Delaunay triangular meshes are generated on the plane,where the mesh nodes can be reflected to the surface reversely,which accomplishes the goal of triangulation of surface.

     

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