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ESA
1999
Springer
110views Algorithms» more  ESA 1999»
15 years 2 months ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle
COMPGEOM
1996
ACM
15 years 1 months ago
Robust Adaptive Floating-Point Geometric Predicates
Fast C implementations of four geometric predicates, the 2D and 3D orientation and incircle tests, are publicly available. Their inputs are ordinary single or double precision flo...
Jonathan Richard Shewchuk
GRAPHICSINTERFACE
2008
14 years 11 months ago
Geometric displacement on plane and sphere
This paper describes a new algorithm for geometric displacement mapping. Its key idea is that all occluded solutions for an eye ray lie in two-dimensional manifolds perpendicular ...
Elodie Fourquet, William Cowan, Stephen Mann
WAW
2010
Springer
312views Algorithms» more  WAW 2010»
14 years 7 months ago
The Geometric Protean Model for On-Line Social Networks
We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points ...
Anthony Bonato, Jeannette Janssen, Pawel Pralat
COMPGEOM
1997
ACM
15 years 2 months ago
Robust Proximity Queries: An Illustration of Degree-Driven Algorithm Design
Abstract. In the context of methodologies intended to confer robustness to geometric algorithms, we elaborate on the exact-computation paradigm and formalize the notion of degree o...
Giuseppe Liotta, Franco P. Preparata, Roberto Tama...