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» On empty convex polygons in a planar point set
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IWPEC
2004
Springer
15 years 5 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
IJRR
2008
107views more  IJRR 2008»
14 years 11 months ago
Caging Polygons with Two and Three Fingers
: We present algorithms for computing all placements of two and three fingers that cage a given polygonal object with n edges in the plane. A polygon is caged when it is impossible...
Mostafa Vahedi, A. Frank van der Stappen
COMPGEOM
2010
ACM
15 years 2 months ago
Tangencies between families of disjoint regions in the plane
Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the memb...
János Pach, Andrew Suk, Miroslav Treml
92
Voted
STOC
1993
ACM
76views Algorithms» more  STOC 1993»
15 years 3 months ago
Piecewise linear paths among convex obstacles
Let B be a set of n arbitrary possibly intersecting convex obstacles in Rd. It is shown that any two points which can be connected by a path avoiding the obstacles can also be c...
Mark de Berg, Jirí Matousek, Otfried Schwar...
125
Voted
SMI
2006
IEEE
186views Image Analysis» more  SMI 2006»
15 years 5 months ago
BSP Shapes
We discuss a shape representation based on a set of disconnected (planar) polygons. The polygons are computed by creating a BSP that contains approximately linear surface patches ...
Carsten Stoll, Hans-Peter Seidel, Marc Alexa