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» Acute Triangulations of Polygons
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COMPGEOM
1991
ACM
13 years 8 months ago
Polynomial-Size Nonobtuse Triangulation of Polygons
We describe methods for triangulating polygonal regions of the plane so that no triangle has a large angle. Our main result is that a polygon with n sides can be triangulated with...
Marshall W. Bern, David Eppstein
IPL
2000
95views more  IPL 2000»
13 years 5 months ago
An efficient upper bound of the rotation distance of binary trees
A polynomial time algorithm is developed for computing an upper bound for the rotation distance of binary trees and equivalently for the diagonal-flip distance of convex polygons ...
Jean Marcel Pallo
CAIP
2007
Springer
132views Image Analysis» more  CAIP 2007»
13 years 11 months ago
Decomposing a Simple Polygon into Trapezoids
Chazelle’s triangulation [1] forms today the common basis for linear-time Euclidean shortest path (ESP) calculations (where start and end point are given within a simple polygon)...
Fajie Li, Reinhard Klette
CAGD
2008
124views more  CAGD 2008»
13 years 5 months ago
All triangulations are reachable via sequences of edge-flips: an elementary proof
A simple proof is provided for the fact that the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation.
Eliyahu Osherovich, Alfred M. Bruckstein
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
13 years 8 months ago
Polygon Decomposition for Efficient Construction of Minkowski Sums
Several algorithms for computing the Minkowski sum of two polygons in the plane begin by decomposing each polygon into convex subpolygons. We examine different methods for decompo...
Pankaj K. Agarwal, Eyal Flato, Dan Halperin