Measures and indices of reflection symmetry for convex polyhedra

被引：0

作者：

Tuzikov, AV ^{[1
]}

Roerdink, JBTM ^{[1
]}

Heijmans, HJAM ^{[1
]}

Sheynin, SA ^{[1
]}

机构：

[1] Inst Engn Cybernet, Minsk 220012, BELARUS

来源：

MATHEMATICAL MORPHOLOGY AND ITS APPLICATIONS TO IMAGE AND SIGNAL PROCESSING | 1998年 / 12卷

关键词：

reflection symmetry measure; Minkowski addition; Brunn-Minkowski inequality; index of reflection symmetry; convex polyhedra;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper discusses measures of reflection symmetry for 3D convex sets which are based on Minkowski addition and Brunn-Minkowski inequalities for volume and mixed volume. These measures are invariant to similitude transformations. Yt is also shown how these measures can be computed efficiently for convex polyhedra.

引用

页码：59 / 65

页数：7