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COMPGEOM
2006
ACM
14 years 1 months ago
An optimal-time algorithm for shortest paths on a convex polytope in three dimensions
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
Yevgeny Schreiber, Micha Sharir
IROS
2006
IEEE
143views Robotics» more  IROS 2006»
14 years 1 months ago
3D Field D: Improved Path Planning and Replanning in Three Dimensions
— We present an interpolation-based planning and replanning algorithm that is able to produce direct, lowcost paths through three-dimensional environments. Our algorithm builds u...
Joseph Carsten, Dave Ferguson, Anthony Stentz
EJC
2008
13 years 6 months ago
Constructive characterizations of 3-connected matroids of path width three
A matroid M is sequential or has path width 3 if M is 3-connected and its ground set has a sequential ordering, that is, an ordering (e1, e2, . . . , en) such that ({e1, e2, . . . ...
Brian Beavers, James Oxley
EJC
2007
13 years 7 months ago
The structure of 3-connected matroids of path width three
A 3-connected matroid M is sequential or has path width 3 if its ground set E(M) has a sequential ordering, that is, an ordering (e1, e2, . . . , en) such that ({e1, e2, . . . , ek...
Rhiannon Hall, James G. Oxley, Charles Semple
SOFSEM
2010
Springer
14 years 4 months ago
A Linear Time Algorithm for Finding Three Edge-Disjoint Paths in Eulerian Networks
Maxim A. Babenko, Ignat I. Kolesnichenko, Ilya P. ...