HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

Orthogonal Polyhedra: Representation and Computation

Olivier Bournez 1 Oded Maler 2 Amir Pnueli 3
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper we investigate orthogonal polyhedra, i.e. polyhedra which are finite unions of full-dimensional hyper-rectangles. We define representation schemes for these polyhedra based on their vertices, and show that these compact representation schemes are canonical for all ( convex and non-convex) polyhedra in any dimension. We then develop efficient algorithms for membership, face-detection and Boolean operations for these representations.
Document type :
Conference papers
Complete list of metadata

https://hal.inria.fr/inria-00098887
Contributor : Publications Loria Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 8:39:55 AM
Last modification on : Friday, May 13, 2022 - 10:18:05 PM

Identifiers

  • HAL Id : inria-00098887, version 1

Collections

Citation

Olivier Bournez, Oded Maler, Amir Pnueli. Orthogonal Polyhedra: Representation and Computation. Hybrid Systems: Computation & Control - HSCC'99, 1999, Berg en Dal, Pays Bas, pp.46-60. ⟨inria-00098887⟩

Share

Metrics

Record views

164