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» Computational geometry: a retrospective
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COMPGEOM
2008
ACM
13 years 12 months ago
Exact geometric-topological analysis of algebraic surfaces
We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
Eric Berberich, Michael Kerber, Michael Sagraloff
COMPGEOM
1994
ACM
14 years 2 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...
COMPGEOM
2000
ACM
14 years 2 months ago
Pitfalls in computing with pseudorandom determinants
It has been known for 30 years that pseudorandom number generators in the class of linear congruential generators (LCG) exhibit strong and predictable regularities. A widely used ...
Bernd Gärtner
COMPGEOM
1999
ACM
14 years 2 months ago
H-Walk: Hierarchical Distance Computation for Moving Convex Bodies
This paper presents the Hierarchical Walk, or H-Walk algorithm, which maintains the distance between two moving convex bodies by exploiting both motion coherence and hierarchical ...
Leonidas J. Guibas, David Hsu, Li Zhang
COMPGEOM
1989
ACM
14 years 2 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