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» Acute Triangulations of Polygons
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EJC
2002
13 years 4 months ago
Acute Triangulations of Polygons
In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral sur...
Hiroshi Maehara
CCCG
2007
13 years 6 months ago
Computing Acute and Non-obtuse Triangulations
We propose a method for computing acute (non-obtuse) triangulations. That is, for a given two dimensional domain (a set of points or a planar straight line graph), we compute a tr...
Hale Erten, Alper Üngör
JCO
2010
169views more  JCO 2010»
13 years 3 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu
CCCG
2003
13 years 6 months ago
An algorithm for the MaxMin area triangulation of a convex polygon
Given a convex polygon in the plane, we are interested in triangulations of its interior, i.e. maximal sets of nonintersecting diagonals that subdivide the interior of the polygon...
J. Mark Keil, Tzvetalin S. Vassilev
COMGEO
2004
ACM
13 years 4 months ago
Tiling space and slabs with acute tetrahedra
We show it is possible to tile three-dimensional space using only tetrahedra with acute dihedral angles. We present several constructions to achieve this, including one in which a...
David Eppstein, John M. Sullivan, Alper Üng&o...