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COMPGEOM
2004
ACM
14 years 1 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
13 years 11 months ago
Polygon Decomposition for Efficient Construction of Minkowski Sums
Several algorithms for computing the Minkowski sum of two polygons in the plane begin by decomposing each polygon into convex subpolygons. We examine different methods for decompo...
Pankaj K. Agarwal, Eyal Flato, Dan Halperin
PR
1998
90views more  PR 1998»
13 years 7 months ago
Supportedness and tameness differentialless geometry of plane curves
—We introduce a class of planar arcs and curves, called tame arcs, which is general enough to describe (parts of) the boundaries of planar real objects. A tame arc can have smoot...
Longin Jan Latecki, Azriel Rosenfeld
DAM
2008
92views more  DAM 2008»
13 years 7 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
CCCG
2010
13 years 9 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...