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COMPGEOM
2001
ACM
13 years 8 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
2006
ACM
13 years 10 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
LATIN
2010
Springer
13 years 11 months ago
Minimum-Perimeter Intersecting Polygons
Given a set S of segments in the plane, a polygon P is an intersecting polygon of S if every segment in S intersects the interior or the boundary of P. The problem MPIP of computi...
Adrian Dumitrescu, Minghui Jiang
GD
2009
Springer
13 years 8 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 4 months ago
Maximal Intersection Queries in Randomized Input Models
Consider a family of sets and a single set, called the query set. How can one quickly find a member of the family which has a maximal intersection with the query set? Time constra...
Benjamin Hoffmann, Mikhail Lifshits, Yury Lifshits...