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COMPGEOM
1994
ACM
13 years 11 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir
ALGOSENSORS
2007
Springer
14 years 1 months ago
Counting Targets with Mobile Sensors in an Unknown Environment
Abstract. We consider the problem of counting the number of indistinguishable targets using a simple binary sensing model. Our setting includes an unknown number of point targets i...
Beat Gfeller, Matús Mihalák, Subhash...
CVPR
2005
IEEE
14 years 9 months ago
Active Polyhedron: Surface Evolution Theory Applied to Deformable Meshes
This paper presents a novel 3D deformable surface that we call an active polyhedron. Rooted in surface evolution theory, an active polyhedron is a polyhedral surface whose vertice...
Gregory G. Slabaugh, Gozde B. Unal
COMPGEOM
2004
ACM
14 years 23 days 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 19 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...