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COMGEO
2006
ACM
11 years 11 months ago
Octrees with near optimal cost for ray-shooting
Predicting and optimizing the performance of ray shooting is a very important problem in computer graphics due to the severe computational demands of ray tracing and other applica...
Hervé Brönnimann, Marc Glisse
COMGEO
2006
ACM
11 years 11 months ago
An exact and efficient approach for computing a cell in an arrangement of quadrics
We present an approach for the exact and efficient computation of a cell in an arrangement of quadric surfaces. All calculations are based on exact rational algebraic methods and ...
Elmar Schömer, Nicola Wolpert
COMGEO
2006
ACM
11 years 11 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
COMGEO
2006
ACM
11 years 11 months ago
A result about the density of iterated line intersections in the plane
Let S be a finite set of points in the plane and let T (S) be the set of intersection points between pairs of lines passing through any two points in S. We characterize all configu...
Christopher J. Hillar, Darren L. Rhea
COMGEO
2006
ACM
11 years 11 months ago
A new algorithmic approach to the computation of Minkowski functionals of polyconvex sets
An algorithm is proposed for the simultaneous computation of all Minkowski functionals (except for the volume) of sets from the convex ring in Rd discretized with respect to a give...
Simone Klenk, Volker Schmidt, Evgueni Spodarev
COMGEO
2006
ACM
11 years 11 months ago
Exact, efficient, and complete arrangement computation for cubic curves
Arno Eigenwillig, Lutz Kettner, Elmar Schömer...
COMGEO
2006
ACM
11 years 11 months ago
Preferred directions for resolving the non-uniqueness of Delaunay triangulations
: This note proposes a simple rule to determine a unique triangulation among all Delaunay triangulations of a planar point set, based on two preferred directions. We show that the ...
Christopher Dyken, Michael S. Floater
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