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CCCG
2010
14 years 2 months ago
On degeneracy of lower envelopes of algebraic surfaces
We analyze degeneracy of lower envelopes of algebraic surfaces. We focus on the cases omitted in the existing complexity analysis of lower envelopes [Halperin and Sharir 1993], an...
Kimikazu Kato
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
14 years 4 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch
COMPGEOM
1994
ACM
14 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