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COMPGEOM
2001
ACM
13 years 11 months ago
On the distinct distances determined by a planar point set
József Solymosi, Csaba D. Tóth
COMPGEOM
2001
ACM
13 years 11 months ago
Balanced lines, halving triangles, and the generalized lower bound theorem
A recent result by Pach and Pinchasi on so-called balanced lines of a finite two-colored point set in the plane is related to other facts on halving triangles in 3-space and to a ...
Micha Sharir, Emo Welzl
COMPGEOM
2001
ACM
13 years 11 months ago
Efficient perspective-accurate silhouette computation and applications
Mihai Pop, Christian A. Duncan, Gill Barequet, Mic...
COMPGEOM
2001
ACM
13 years 11 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...
COMPGEOM
2001
ACM
13 years 11 months ago
Segment intersection searching problems in general settings
We consider segment intersection searching amidst (possibly intersecting) algebraic arcs in the plane. We show how to preprocess n arcs in time O(n2+ ) into a data structure of si...
Vladlen Koltun
COMPGEOM
2001
ACM
13 years 11 months ago
Computational geometry for sculpture
This presentation illustrates examples of my geometric sculpture and outlines certain design techniques. I apply methods from the field of computational geometry to the creation o...
George W. Hart
COMPGEOM
2001
ACM
13 years 11 months ago
A practical approach for computing the diameter of a point set
We present an approximation algorithm for computing the diameter of a point-set in d-dimensions. The new algorithm is sensitive to the "hardness" of computing the diamet...
Sariel Har-Peled
COMPGEOM
2001
ACM
13 years 11 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...