扫描表面和体积的隐式建模

W. Schroeder, W. Lorensen, Steve Linthicum
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引用次数: 108

摘要

扫描表面和体积是通过在空间中移动几何模型产生的。扫描表面和体积在许多计算机辅助设计应用中都很重要,包括几何建模、数字刀具路径生成和空间路径规划。在本文中,我们描述了一种使用隐式建模技术生成扫描表面和体积的数值算法。该算法适用于任何可以计算距离函数的几何表示。该算法还处理了自交和曲面奇异等退化轨迹。我们展示了该算法在可维护性设计和机器人路径规划方面的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Implicit modeling of swept surfaces and volumes
Swept surfaces and volumes are generated by moving a geometric model through space. Swept surfaces and volumes are important in many computer-aided design applications including geometric modeling, numerical cutter path generation, and spatial path planning. In this paper we describe a numerical algorithm to generate swept surfaces and volumes using implicit modeling techniques. The algorithm is applicable to any geometric representation for which a distance function can be computed. The algorithm also treats degenerate trajectories such as self-intersection and surface singularity. We show applications of this algorithm to maintainability design and robot path planning.<>
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