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CCCG
2006
13 years 11 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
PAMI
2006
99views more  PAMI 2006»
13 years 9 months ago
A New Convexity Measure Based on a Probabilistic Interpretation of Images
In this article we present a novel convexity measure for object shape analysis. The proposed method is based on the idea of generating pairs of points from a set, and measuring th...
Esa Rahtu, Mikko Salo, Janne Heikkilä
SODA
1992
ACM
109views Algorithms» more  SODA 1992»
13 years 11 months ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein
DCG
2010
75views more  DCG 2010»
13 years 10 months ago
Star Unfolding Convex Polyhedra via Quasigeodesic Loops
We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron ...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
CORR
2007
Springer
100views Education» more  CORR 2007»
13 years 9 months ago
Unfolding Convex Polyhedra via Quasigeodesics
We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds th...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu