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CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 7 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...
CCCG
2007
13 years 9 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»
13 years 7 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»
14 years 25 days 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»
13 years 7 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