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» A Point in Many Triangles
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CCCG
2009
13 years 8 months ago
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Zachary Abel, Brad Ballinger, Prosenjit Bose, S&ea...
GMP
2000
IEEE
117views Solid Modeling» more  GMP 2000»
14 years 19 hour ago
Distance Computation between Non-Convex Polyhedra at Short Range Based on Discrete Voronoi Regions
An algorithm for calculating the minimum distance between non-convex polyhedra is described. A polyhedron is represented by a set of triangles. In calculating the distance between...
Katsuaki Kawachi, Hiromasa Suzuki
CCCG
2010
13 years 9 months ago
Evading equilateral triangles without a map
Consider an arrangement of equilateral non-overlapping translated triangles in the plane and two points S and T so that the segment ST is parallel to a side of each of the triangl...
Braxton Carrigan
COMPGEOM
2008
ACM
13 years 9 months ago
Extremal problems on triangle areas in two and three dimensions
The study of extremal problems on triangle areas was initiated in a series of papers by Erdos and Purdy in the early 1970s. In this paper we present new results on such problems, ...
Adrian Dumitrescu, Micha Sharir, Csaba D. Tó...
VISUALIZATION
1999
IEEE
13 years 12 months ago
Spiraling Edge: Fast Surface Reconstruction from Partially Organized Sample Points
Many applications produce three-dimensional points that must be further processed to generate a surface. Surface reconstruction algorithms that start with a set of unorganized poi...
Patricia Crossno, Edward Angel