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124
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COMPGEOM
1997
ACM
15 years 5 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
131
Voted
COMPGEOM
2001
ACM
15 years 4 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
104
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SGP
2003
15 years 2 months ago
Approximating and Intersecting Surfaces from Points
Point sets become an increasingly popular shape representation. Most shape processing and rendering tasks require the approximation of a continuous surface from the point data. We...
Anders Adamson, Marc Alexa
CORR
2008
Springer
137views Education» more  CORR 2008»
15 years 26 days ago
On the Complexity of Nash Equilibria of Action-Graph Games
Abstract. We consider the problem of computing Nash Equilibria of action-graph games (AGGs). AGGs, introduced by Bhat and Leyton-Brown, is a succinct representation of games that e...
Constantinos Daskalakis, Grant Schoenebeck, Gregor...
95
Voted
DCG
2002
71views more  DCG 2002»
15 years 18 days ago
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
Richard P. Stanley, Jim Pitman