Computing the visibility graph via pseudo-triangulations
Proceedings of the eleventh annual symposium on Computational geometry
Proceedings of the twelfth annual symposium on Computational geometry
Pseudo-triangulations: theory and applications
Proceedings of the twelfth annual symposium on Computational geometry
Kinetic collision detection for simple polygons
Proceedings of the sixteenth annual symposium on Computational geometry
Allocating vertex π-guards in simple polygons via pseudo-triangulations
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Separation Sensitive Kinetic Separation Structures for Convex Polygons
JCDCG '00 Revised Papers from the Japanese Conference on Discrete and Computational Geometry
Tight degree bounds for pseudo-triangulations of points
Computational Geometry: Theory and Applications - Special issue: The European workshop on computational geometry -- CG01
A combinatorial approach to planar non-colliding robot arm motion planning
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Pseudotriangulations from Surfaces and a Novel Type of Edge Flip
SIAM Journal on Computing
Counting and Enumerating Pointed Pseudotriangulations with the Greedy Flip Algorithm
SIAM Journal on Computing
On constrained minimum pseudotriangulations
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
| Hi-index | 0.00 |
A pseudo-triangulation is a planar subdivision into pseudo triangles - polygons with three convex vertices, used mainly in motion planning problems in robotics. As it is a rather new concept, not too many algorithms to construct it exist. In this paper, we propose an online version of incremental insertion, with generalized flips to improve the shape of pseudo-triangles. This algorithmic paradigm is often used for Delaunay triangulations, but for pseudo-triangulations it has been used only in an off-line version (for sorted input points). We also experimented with several optimization criteria for the flips and show their influence on the shape of pseudo-triangles.