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DIRECTIONAL ADAPTIVE SURFACE TRIANGULATION

机译:方向自适应表面三角剖分

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摘要

Several CAD applications require a surface model of the modeled object consisting of a mesh of triangular facets. In this paper ,a new algorithm for triangulation of trimmed surfaces is presented. The algorithm generates a triangulation that approximates the initial surface within a predefined tolerance. The approximation is conformal, without cracks in edges: a closed polyhedron is obtained in the case of a closed initial surface. The proposed algorithm improves the algorithm presented in (Brunet and Vigo,1995) because it is based on more precise bounds which take into account the directional behavior of local surface curvature, and the resulting triangulation has a lower number of triangles.
机译:几种CAD应用程序需要由三角形小平面网格组成的建模对象的表面模型。本文提出了一种新的修剪曲面三角剖分算法。该算法生成三角剖分,该三角剖分在预定的公差范围内逼近初始曲面。近似是保形的,边缘没有裂纹:在封闭的初始表面的情况下,可获得封闭的多面体。所提出的算法对(Brunet和Vigo,1995)中提出的算法进行了改进,因为它基于更精确的边界,该边界考虑了局部曲面曲率的方向行为,并且由此产生的三角剖分具有更少的三角形数量。

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