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COMPGEOM
2004
ACM
15 years 4 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu
MFCS
2004
Springer
15 years 4 months ago
Online Algorithms for Disk Graphs
We study the on-line versions of two fundamental graph problems, maximum independent set and minimum coloring, for the case of disk graphs which are graphs resulting from intersect...
Ioannis Caragiannis, Aleksei V. Fishkin, Christos ...
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GREC
2003
Springer
15 years 4 months ago
Skewed Mirror Symmetry for Depth Estimation in 3D Line-Drawings
We aim to reconstruct three-dimensional polyhedral solids from axonometric-like line drawings. A new approach is proposed to make use of planes of mirror symmetry detected in such ...
Ana Piquer Vicent, Ralph R. Martin, Pedro Company
COMPGEOM
2010
ACM
15 years 4 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
COMPGEOM
2010
ACM
15 years 4 months ago
Points with large quadrant-depth
We characterize the set of all pairs (a, b) such that for every set P of n points in general position in R2 there always exists a point p ∈ P and two opposite quadrants determin...
Roel Apfelbaum, Itay Ben-Dan, Stefan Felsner, Rom ...