Sciweavers

COMPGEOM
2005
ACM
13 years 7 months ago
Star splaying: an algorithm for repairing delaunay triangulations and convex hulls
Star splaying is a general-dimensional algorithm that takes as input a triangulation or an approximation of a convex hull, and produces the Delaunay triangulation, weighted Delaun...
Jonathan Richard Shewchuk
COMPGEOM
2005
ACM
13 years 7 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
COMPGEOM
1991
ACM
13 years 8 months ago
A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra
We present a new pivot-based algorithm which can be used with minor modification for the enumeration of the facets of the convex hull of a set of points, or for the enumeration o...
David Avis, Komei Fukuda
COMPGEOM
1991
ACM
13 years 8 months ago
Crossing Families
Given a set of points in the plane, a crossing family is a collection of line segments, each joining two of the points, such that any two line segments intersect internally. Two s...
Boris Aronov, Paul Erdös, Wayne Goddard, Dani...
COMPGEOM
2001
ACM
13 years 8 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...
COMPGEOM
2007
ACM
13 years 9 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
COMPGEOM
1996
ACM
13 years 9 months ago
Developing a Practical Projection-Based Parallel Delaunay Algorithm
In this paper we are concerned with developing a practical parallel algorithm for Delaunay triangulation that works well on general distributions, particularly those that arise in...
Guy E. Blelloch, Gary L. Miller, Dafna Talmor
CA
1996
IEEE
13 years 9 months ago
Efficient And Accurate Interference Detection For Polynomial Deformation
We present efficient and accurate algorithms for interference detection among objects undergoing polynomial deformation. The scope of our algorithms include physically-based model...
Merlin Hughes, Christopher DiMattia, Ming C. Lin, ...
DAWAK
2001
Springer
13 years 9 months ago
Determining the Convex Hull in Large Multidimensional Databases
Determiningthe convex hull ofa point set isa basic operation for many applications of pattern recognition, image processing, statistics, and data mining. Although the corresponding...
Christian Böhm, Hans-Peter Kriegel
ICPP
2002
IEEE
13 years 10 months ago
Computational Geometry On The OTIS-Mesh Optoelectronic Computer
We develop efficient algorithms for problems in computational geometry—convex hull, smallest enclosing box, ECDF, two-set dominance, maximal points, all-nearest neighbor, and c...
Chih-Fang Wang, Sartaj Sahni