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» On empty convex polygons in a planar point set
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DCG
2010
75views more  DCG 2010»
14 years 11 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
JC
2007
57views more  JC 2007»
14 years 11 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
ENDM
2011
227views Hardware» more  ENDM 2011»
13 years 11 months ago
Bichromatic Triangle Games
We study a combinatorial game called Bichromatic Triangle Game, defined as follows. Two players R and B construct a triangulation on a given planar point set V . Starting from no...
Gordana Manic, Daniel M. Martin, Milos Stojakovic
105
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CAGD
2008
71views more  CAGD 2008»
14 years 11 months ago
Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves
In this paper, the geometric Lagrange interpolation of four points by planar cubic Pythagorean-hodograph (PH) curves is studied. It is shown that such an interpolatory curve exist...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
ICCSA
2007
Springer
15 years 5 months ago
Weak Visibility of Two Objects in Planar Polygonal Scenes
Abstract. Determining whether two segments s and t in a planar polygonal scene weakly see each other is a classical problem in computational geometry. In this problem we seek for a...
Mostafa Nouri, Alireza Zarei, Mohammad Ghodsi