曲面(拓扑)
参数曲面
曲率
曲面重建
拓扑(电路)
构造(python库)
集合(抽象数据类型)
计算机科学
参数统计
几何学
数学
算法
组合数学
统计
程序设计语言
标识
DOI:10.1016/s0010-4485(96)00055-3
摘要
We describe a method for reconstructing an unknown surface X of arbitrary topology, possibly with boundaries, from a set of scattered points. Our method generates a parametric surface in two steps: first we use 3D α-shapes to construct a simplified surface M^ that captures the topological structure of X, and then we build a curvature-continuous surface M~ based on this structure. Starting from data points scanned on existing physical objects, the method can produce rather compact, accurate geometric models suitable for engineering design and analysis.
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