Pseudo minimum translational distance between convex polyhedra (I)Definition and properties

被引：1
|
作者：
Zhu Xiangyang
Ding Han
Xiong Youlun
机构：
[1] Southeast University,Department of Mechanical Engineering
[2] Huazhong University of Science & Technology,School of Mechanical Science & Engineering
来源：
Science in China Series E: Technolgical Science | 2001年 / 44卷 / 2期
关键词：
pseudo minimum translational distance; convex polyhedra; differentiability;
D O I：
10.1007/BF03014633
中图分类号：
学科分类号：
摘要：
Based on the concept of gauge function, the pseudo minimum translational distance (PMTD) between two convex objects is defined in this paper. PMTD not only provides a measure of the clearance between two separating objects, but also quantifies the penetration of two objects intersecting each other. It is proved that the PMTD is differentiable almost everywhere w. r. t. the configuration variable of the objects. Algorithms for calculating PMTD and its derivative are also presented.
引用
收藏
页码：216 / 224
页数：8
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