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Shrinkwrap: An efficient adaptive algorithm for triangulating an iso-surface

机译:Shrinkwrap:用于对等值面进行三角剖分的高效自适应算法

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摘要

An algorithm is presented which generates a triangular mesh to approximate an iso-surface. It starts with a triangulation of a sphere and next applies a series of deformations to this triangulation to transform it into the required surface. These deformations leave the topology invariant, so the final iso-surface should be homeomorphic with a sphere. The algorithm is adaptive in the sense that the lengths of the sides of the triangles in the mesh vary with the local curvature of the underlying surface. A quantitative analysis of the accuracy of the algorithm is given along with an empirical comparison with earlier algorithms.
机译:提出了一种算法,该算法生成三角网格以逼近等值面。它从球体的三角剖分开始,然后对该三角剖分施加一系列变形以将其转换为所需的曲面。这些变形使拓扑保持不变,因此最终的等值面应是球面的同胚。该算法是自适应的,因为网格中三角形的边的长度随下面的曲面的局部曲率而变化。对该算法的准确性进行了定量分析,并与早期算法进行了实证比较。

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