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CDC
2008
IEEE
109views Control Systems» more  CDC 2008»
14 years 2 months ago
Shortest paths on 3-D simple Lie groups with nonholonomic constraint
— In this paper we study the Carnot-Caratheodory metrics on SU(2) S3 , SO(3) and SL(2) induced by their Cartan decomposition and by the Killing form. Besides computing explicitly...
Ugo V. Boscain, Francesco Rossi
PAMI
2010
222views more  PAMI 2010»
13 years 5 months ago
Minimal Surfaces Extend Shortest Path Segmentation Methods to 3D
—Shortest paths have been used to segment object boundaries with both continuous and discrete image models. Although these techniques are well defined in 2D, the character of the...
Leo Grady
DCG
2010
289views more  DCG 2010»
13 years 7 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...
WINE
2010
Springer
178views Economy» more  WINE 2010»
13 years 5 months ago
Improved Hardness of Approximation for Stackelberg Shortest-Path Pricing
We consider the Stackelberg shortest-path pricing problem, which is defined as follows. Given a graph G with fixed-cost and pricable edges and two distinct vertices s and t, we may...
Patrick Briest, Parinya Chalermsook, Sanjeev Khann...
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