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CCCG
2010
13 years 6 months ago
Computing the straight skeleton of a monotone polygon in O(n log n) time
The straight skeleton of a simple polygon is defined as the trace of the vertices when the initial polygon is shrunken in self-parallel manner [2]. In this paper, we propose a sim...
Gautam K. Das, Asish Mukhopadhyay, Subhas C. Nandy...
ALGORITHMICA
2007
165views more  ALGORITHMICA 2007»
13 years 4 months ago
Motorcycle Graphs and Straight Skeletons
We present a new algorithm to compute motorcycle graphs. It runs in O(n √ n log n) time when n is the number of motorcycles. We give a new characterization of the straight skele...
Siu-Wing Cheng, Antoine Vigneron
COMPGEOM
2003
ACM
13 years 10 months ago
Polygon decomposition based on the straight line skeleton
We propose a novel type of decomposition for polygonal shapes. It is thought that, for the task of object recognition, the human visual system uses a part-based representation. De...
Mirela Tanase, Remco C. Veltkamp
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
13 years 8 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
COMGEO
2008
ACM
13 years 4 months ago
Approximation of an open polygonal curve with a minimum number of circular arcs and biarcs
We present an algorithm for approximating a given open polygonal curve with a minimum number of circular arcs. In computer-aided manufacturing environments, the paths of cutting t...
Robert L. Scot Drysdale, Günter Rote, Astrid ...