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» Discrepancy with respect to convex polygons
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JC
2007
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13 years 5 months ago
Discrepancy with respect to convex polygons
We study the problem of discrepancy of finite point sets in the unit square with respect to convex polygons, when the directions of the edges are fixed, when the number of edges ...
W. W. L. Chen, G. Travaglini
ICPR
2004
IEEE
14 years 6 months ago
A Symmetric Convexity Measure
A new area-based convexity measure for polygons is described. It has the desirable properties that it is not sensitive to small boundary defects, and it is symmetric with respect ...
Paul L. Rosin, Christine L. Mumford
CCCG
2003
13 years 6 months ago
An algorithm for the MaxMin area triangulation of a convex polygon
Given a convex polygon in the plane, we are interested in triangulations of its interior, i.e. maximal sets of nonintersecting diagonals that subdivide the interior of the polygon...
J. Mark Keil, Tzvetalin S. Vassilev
CCCG
2010
13 years 6 months ago
On polygons excluding point sets
By a polygonization of a finite point set S in the plane we understand a simple polygon having S as the set of its vertices. Let B and R be sets of blue and red points, respective...
Radoslav Fulek, Balázs Keszegh, Filip Moric...
CCCG
2006
13 years 6 months ago
Rotationally Monotone Polygons
We introduce a generalization of monotonicity. An n-vertex polygon P is rotationally monotone with respect to a point r if there exists a partitioning of the boundary of P into ex...
Prosenjit Bose, Pat Morin, Michiel H. M. Smid, Ste...