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IPL
2008
111views more  IPL 2008»
13 years 3 months ago
Flying over a polyhedral terrain
We consider the problem of computing shortest paths in three-dimensions in the presence of a single-obstacle polyhedral terrain, and present a new algorithm that for any p 1, comp...
Hamid Zarrabi-Zadeh
CORR
2007
Springer
143views Education» more  CORR 2007»
13 years 4 months ago
An Approximation Algorithm for Shortest Descending Paths
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Anna Lubiw
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 4 months ago
Approximation Algorithms for Shortest Descending Paths in Terrains
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Sandip Das, Sachin Lodha, Anna Lubiw...
CCCG
2006
13 years 5 months ago
Shortest Descending Paths through Given Faces
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Anna Lubiw
CCCG
2007
13 years 5 months ago
Approximate Shortest Descent Path on a Terrain
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if for every pair of points p = (x(p), y(p), z(p)) and q = (x(q), y(q), z(q)) on th...
Sasanka Roy, Sachin Lodha, Sandip Das, Anil Mahesh...
STACS
1992
Springer
13 years 8 months ago
A Simplified Technique for Hidden-Line Elimination in Terrains
In this paper we give a practical and e cient output-sensitive algorithm for constructing the display of a polyhedral terrain. It runs in Od + nlog2 n time and uses On n space, wh...
Franco P. Preparata, Jeffrey Scott Vitter
ICRA
2006
IEEE
115views Robotics» more  ICRA 2006»
13 years 10 months ago
Path Planning above a Polyhedral Terrain
— We consider the problem of path planning above a polyhedral terrain and present a new algorithm that for any p ≥ 1, computes a (c + ε)-approximation to the Lp-shortest path ...
Hamid Zarrabi-Zadeh