[3] BEN GURION UNIV NEGEV,DEPT MATH & COMP SCI,IL-84105 BEER SHEVA,ISRAEL
[4] NEW JERSEY INST TECHNOL,DEPT COMP SCI,NEWARK,NJ 07102
来源:
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS
|
1997年
/
7卷
/
1-2期
基金:
美国国家科学基金会;
关键词:
D O I:
10.1016/0925-7721(95)00047-X
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Given two planar sets A and B, we examine the problem of determining the smallest epsilon such that there is a Euclidean motion (rotation and translation) of A that brings each member of A within distance epsilon of some member of B. We establish upper bounds on the combinatorial complexity of this subproblem in model-based computer vision, when the sets A and B contain points, line segments, or (filled-in) polygons. We also show how to use our methods to substantially improve on existing algorithms for finding the minimum Hausdorff distance under Euclidean motion.