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CORR
2002
Springer
93views Education» more  CORR 2002»
14 years 9 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
75
Voted
CCCG
2007
14 years 11 months ago
On the Fewest Nets Problem for Convex Polyhedra
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
Val Pinciu
DCG
2007
91views more  DCG 2007»
14 years 9 months ago
Which n-Venn Diagrams Can Be Drawn with Convex k-Gons?
We establish a new lower bound for the number of sides required for the component curves of simple Venn diagrams made from polygons. Specifically, for any n-Venn diagram of conve...
Jeremy Carroll, Frank Ruskey, Mark Weston
ICRA
2003
IEEE
118views Robotics» more  ICRA 2003»
15 years 2 months ago
Capturing a convex object with three discs
Abstract— This paper addresses the problem of capturing an arbitrary convex object P in the plane with three congruent disc-shaped robots. Given two stationary robots in contact ...
Jeff Erickson, Shripad Thite, Fred Rothganger, Jea...
CAGD
2007
86views more  CAGD 2007»
14 years 9 months ago
A general geometric construction of coordinates in a convex simplicial polytope
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
Tao Ju, Peter Liepa, Joe D. Warren