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CCCG
1993
13 years 8 months ago
Shortest Paths for a Two-robot Rendez-vous
In this paper, we consider an optimalmotionplanning problem for a pair of point robots in a planar environment with polygonal obstacles. We seek a pair of paths upon which the rob...
Erik L. Wynters, Joseph S. B. Mitchell
SIGACT
2008
103views more  SIGACT 2008»
13 years 7 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
CAGD
2005
89views more  CAGD 2005»
13 years 7 months ago
Mean value coordinates in 3D
Abstract: Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at th...
Michael S. Floater, Géza Kós, Martin...
SMI
2006
IEEE
186views Image Analysis» more  SMI 2006»
14 years 1 months ago
BSP Shapes
We discuss a shape representation based on a set of disconnected (planar) polygons. The polygons are computed by creating a BSP that contains approximately linear surface patches ...
Carsten Stoll, Hans-Peter Seidel, Marc Alexa
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 7 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash