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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...
ENDM
2007
93views more  ENDM 2007»
13 years 4 months ago
Measurable sets with excluded distances
For a set of distances D = {d1, . . . , dk} a set A is called D-avoiding if no pair of points of A is at distance di for some i. We show that the density of A is exponentially sma...
Boris Bukh
CCCG
2010
13 years 6 months ago
k-star-shaped polygons
We introduce k-star-shaped polygons, polygons for which there exists at least one point x such that for any point y of the polygon, segment xy crosses the polygon's boundary ...
Jeff Sember, William Evans
CVPR
2000
IEEE
14 years 7 months ago
Curve and Surface Reconstruction from Regular and Non-Regular Point Sets
In this paper, we address the problem of curve and surface reconstruction from sets of points. We introduce regular interpolants which are polygonal approximations of planar curve...
Edmond Boyer, Sylvain Petitjean
CCCG
2008
13 years 6 months ago
Recognition of Largest Empty Orthoconvex Polygon in a Point Set
An algorithm for computing the maximum area empty isothetic orthoconvex polygon among a set of n points in a rectangular region, is presented. The worst case time and space comple...
Subhas C. Nandy, Krishnendu Mukhopadhyaya, Bhargab...