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COMGEO
2006
ACM
13 years 4 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
AMC
2010
111views more  AMC 2010»
13 years 4 months ago
Algebraic C*-actions and the inverse kinematics of a general 6R manipulator
Let X be a smooth quadric of dimension 2m in P2m+1 C and let Y, Z X be subvarieties both of dimension m which intersect transversely. In this paper we give an algorithm for comput...
Sandra Di Rocco, David Eklund, Andrew J. Sommese, ...
CCCG
2007
13 years 6 months ago
Capturing Crossings: Convex Hulls of Segment and Plane Intersections
We give a simple O(n log n) algorithm to compute the convex hull of the (possibly Θ(n2 )) intersection points in an arrangement of n line segments in the plane. We also show an a...
Esther M. Arkin, Joseph S. B. Mitchell, Jack Snoey...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
13 years 8 months ago
Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangement of Quadrics
We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step t...
Laurent Dupont, Michael Hemmer, Sylvain Petitjean,...