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COMPGEOM
2004
ACM
14 years 3 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
ICRA
2003
IEEE
118views Robotics» more  ICRA 2003»
14 years 3 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...
ICTAI
2000
IEEE
14 years 2 months ago
Consistency checking for Euclidean spatial constraints: a dimension graph approach
In this paper, we address the problem of consistency checking for Euclidean spatial constraints. A dimension graph representation is proposed to maintain the Euclidean spatial con...
Xuan Liu, Shashi Shekhar, Sanjay Chawla
ISPD
2000
ACM
139views Hardware» more  ISPD 2000»
14 years 2 months ago
Critical area computation for missing material defects in VLSI circuits
We address the problem of computing critical area for missing material defects in a circuit layout. The extraction of critical area is the main computational problem in VLSI yield...
Evanthia Papadopoulou
CORR
2002
Springer
104views Education» more  CORR 2002»
13 years 9 months ago
Preprocessing Chains for Fast Dihedral Rotations Is Hard or Even Impossible
We examine a computational geometric problem concerning the structure of polymers. We model a polymer as a polygonal chain in three dimensions. Each edge splits the polymer into t...
Michael A. Soss, Jeff Erickson, Mark H. Overmars