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COMPGEOM
1994
ACM
15 years 4 months ago
Computing Many Faces in Arrangements of Lines and Segments
We present randomized algorithms for computing many faces in an arrangement of lines or of segments in the plane, which are considerably simpler and slightly faster than the previo...
Pankaj K. Agarwal, Jirí Matousek, Otfried S...
113
Voted
COMPGEOM
1994
ACM
15 years 4 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir
110
Voted
COMPGEOM
1994
ACM
15 years 4 months ago
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
Pankaj K. Agarwal, Mark de Berg, Jirí Matou...
COMPGEOM
1994
ACM
15 years 4 months ago
Competitive Searching in a Generalized Street
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Amitava Datta, Christian Icking
103
Voted
COMPGEOM
1994
ACM
15 years 4 months ago
Interactive Visualization of Weighted Three-Dimensional Alpha Hulls
An interactive visualization of weighted three-dimensional -hulls is presented for static and dynamic spheres. The -hull is analytically computed and represented by a triangulated...
Amitabh Varshney, Frederick P. Brooks Jr., William...
Discrete Geometry
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