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121
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COMPGEOM
1993
ACM
15 years 6 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas
COMPGEOM
1989
ACM
15 years 6 months ago
Computing the Irreducible Real Factors and Components of an Algebraic Curve
We present algorithms that decompose an algebraic curve with rational coefficients in its defining bivariate equation into its irreducible real factors and its non-empty irreducib...
Erich Kaltofen
COMPGEOM
2007
ACM
15 years 6 months ago
Computing the exact arrangement of circles on a sphere, with applications in structural biology: video
The Bentley-Ottmann (BO) algorithm, initially designed to report the intersection points of line-segments in the plane, is the prototypical sweep-line algorithm. This video presen...
Frédéric Cazals, Sébastien Lo...
119
Voted
COMPGEOM
2006
ACM
15 years 6 months ago
Conflict-free colorings of shallow discs
We prove that any collection of n discs in which each one intersects at most k others, can be colored with at most O(log3 k) colors so that for each point p in the union of all di...
Noga Alon, Shakhar Smorodinsky
104
Voted
DGCI
2006
Springer
15 years 6 months ago
Topologically Correct Image Segmentation Using Alpha Shapes
Abstract. Existing theories on shape digitization impose strong constraints on feasible shapes and require error-free measurements. We use Delaunay triangulation and -shapes to pro...
Peer Stelldinger, Ullrich Köthe, Hans Meine