Abstract
A parting line for a polyhedron is a closed curve on its surface, which identifies the two halves of the polyhedron for which mold-boxes must be made. A parting line is undercut-free if the two halves that it generates do not contain facets that obstruct the de-molding of the polyhedron. Computing an undercut-free parting line that is as "flat" as possible is an important problem in mold design. In this paper, algorithms are presented to compute such a parting line for a convex polyhedron, based on different flatness criteria.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 229-252 |
| Number of pages | 24 |
| Journal | Computational Geometry: Theory and Applications |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 1999 |
Bibliographical note
Funding Information:I Research supported in part by NSF Grant CCR-9200270 and by a University of Minnesota Grant-in-Aid of Research Award. A preliminary version of this paper appears in the Proceedings of the First ACM Workshop on Applied Computational Geometry, LNCS 1148, Springer-Verlag, 1996, pp. 109–120. ∗Corresponding author. E-mail: [email protected] 1E-mail: [email protected] 2Work done while at MPI-Informatik, Saarbrücken, Germany, and at the University of Minnesota, USA. E-mail: [email protected]
Keywords
- Arrangements
- Casting/molding
- Computational geometry
- Optimization
- Point-set width
- Shortest paths
- Visibility