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» Quadrangulations of Planar Sets
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DM
2010
108views more  DM 2010»
14 years 12 months ago
Internally 4-connected binary matroids with cyclically sequential orderings
We characterize all internally 4-connected binary matroids M with the property that the ground set of M can be ordered (e0, . . . , en-1) in such a way that {ei, . . . , ei+t} is 4...
Jeremy Aikin, Carolyn Chun, Rhiannon Hall, Dillon ...
COMGEO
2006
ACM
14 years 12 months ago
Preferred directions for resolving the non-uniqueness of Delaunay triangulations
: This note proposes a simple rule to determine a unique triangulation among all Delaunay triangulations of a planar point set, based on two preferred directions. We show that the ...
Christopher Dyken, Michael S. Floater
SIGACT
2008
103views more  SIGACT 2008»
14 years 11 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»
14 years 11 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...
COMGEO
2004
ACM
14 years 11 months ago
Kinetic collision detection between two simple polygons
We design a kinetic data structure for detecting collisions between two simple polygons in motion. In order to do so, we create a planar subdivision of the free space between the ...
Julien Basch, Jeff Erickson, Leonidas J. Guibas, J...