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COMPGEOM
2004
ACM
14 years 3 months ago
The corner arc algorithm
In a landmark survey of visibility algorithms in 1974, Sutherland, Sproull, and Schumacker stated that “We believe the principal untapped source of help for hidden surface algor...
Olaf A. Hall-Holt
COMPGEOM
2004
ACM
14 years 3 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
COMPGEOM
2004
ACM
14 years 3 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
COMPGEOM
2004
ACM
14 years 3 months ago
An empirical comparison of techniques for updating Delaunay triangulations
The computation of Delaunay triangulations from static point sets has been extensively studied in computational geometry. When the points move with known trajectories, kinetic dat...
Leonidas J. Guibas, Daniel Russel
COMPGEOM
2004
ACM
14 years 3 months ago
Approximate convex decomposition of polygons
We propose a strategy to decompose a polygon, containing zero or more holes, into “approximately convex” pieces. For many applications, the approximately convex components of ...
Jyh-Ming Lien, Nancy M. Amato