FILLING GAPS IN THE BOUNDARY OF A POLYHEDRON

Citation
G. Barequet et M. Sharir, FILLING GAPS IN THE BOUNDARY OF A POLYHEDRON, Computer aided geometric design, 12(2), 1995, pp. 207-229
Citations number
31
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
ISSN journal
01678396
Volume
12
Issue
2
Year of publication
1995
Pages
207 - 229
Database
ISI
SICI code
0167-8396(1995)12:2<207:FGITBO>2.0.ZU;2-Q
Abstract
In this paper we present an algorithm for detecting and repairing defe cts in the boundary of a polyhedron. These defects, usually caused by problems in CAD software, consist of small gaps bounded by edges that are incident to only one polyhedron face. The algorithm uses a partial curve matching technique for matching parts of the defects, and an op timal triangulation of 3-D polygons for resolving the unmatched parts. It is also shown that finding a consistent set of partial curve match es with maximum score, a subproblem which is related to our repairing process, is NP-hard. Experimental results on several polyhedra are pre sented.