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COMPGEOM
1996
ACM
13 years 9 months ago
Smallest Enclosing Cylinders
This paper addresses the complexity of computing the smallest-radius infinite cylinder that encloses an input set of n points in 3-space. We show that the problem can be solved in...
Elmar Schömer, Jürgen Sellen, Marek Teic...
COMPGEOM
1996
ACM
13 years 9 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
COMPGEOM
1996
ACM
13 years 9 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson
COMPGEOM
1996
ACM
13 years 9 months ago
On the Number of Arrangements of Pseudolines
Given a simple arrangementof n pseudolines in the Euclidean plane, associate with line i the list i of the lines crossing i in the order of the crossings on line i. i = ( i 1; i 2;...
Stefan Felsner
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