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COMPGEOM
1997
ACM
13 years 10 months ago
The Area Bisectors of a Polygon and Force Equilibria in Programmable Vector Fields
We consider the family of area bisectors of a polygon possibly with holes in the plane. We say that two bisectors of a polygon P are combinatorially distinct if they induce di e...
Karl-Friedrich Böhringer, Bruce Randall Donal...
COMPGEOM
1997
ACM
13 years 10 months ago
Realistic Input Models for Geometric Algorithms
Many algorithms developed in computational geometry are needlessly complicated and slow because they have to be prepared for very complicated, hypothetical inputs. To avoid this, ...
Mark de Berg, Matthew J. Katz, A. Frank van der St...
COMPGEOM
1997
ACM
13 years 10 months ago
Animating the Polygon-Offset Distance Function
Gill Barequet, Amy J. Briggs, Matthew Dickerson, C...
COMPGEOM
1997
ACM
13 years 10 months ago
Separating an Object from its Cast
Hee-Kap Ahn, Mark de Berg, Prosenjit Bose, Siu-Win...
COMPGEOM
1997
ACM
13 years 10 months ago
Cylindrical Static and Kinetic Binary Space Partitions
We describe the first known algorithm for efficiently maintaining a Binary Space Partition (BSP) for n continuously moving segments in the plane, whose interiors remain disjoint...
Pankaj K. Agarwal, Leonidas J. Guibas, T. M. Mural...
JCDCG
1998
Springer
13 years 10 months ago
Crossing Numbers
János Pach
JCDCG
1998
Springer
13 years 10 months ago
Folding and Unfolding in Computational Geometry
Abstract. We survey results in a recent branch of computational geometry: folding and unfolding of linkages, paper, and polyhedra. Contents
Joseph O'Rourke
JCDCG
1998
Springer
13 years 10 months ago
Radial Perfect Partitions of Convex Sets in the Plane
In this paper we study the following problem: how to divide a cake among the children attending a birthday party such that all the children get the same amount of cake and the same...
Jin Akiyama, Atsushi Kaneko, Mikio Kano, Gisaku Na...
JCDCG
1998
Springer
13 years 10 months ago
Efficient Regular Polygon Dissections
We study the minimum number g(m, n) (respectively, p(m, n)) of pieces needed to dissect a regular m-gon into a regular n-gon of the same area using glass-cuts (respectively, polygo...
Evangelos Kranakis, Danny Krizanc, Jorge Urrutia
JCDCG
1998
Springer
13 years 10 months ago
An Interpolant Based on Line Segment Voronoi Diagrams
Hisamoto Hiyoshi, Kokichi Sugihara