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118
Voted
IPL
2008
111views more  IPL 2008»
14 years 11 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
121
Voted
CORR
2007
Springer
143views Education» more  CORR 2007»
15 years 7 days 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
91
Voted
CORR
2008
Springer
133views Education» more  CORR 2008»
15 years 10 days 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...
92
Voted
CCCG
2006
15 years 1 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
109
Voted
CCCG
2007
15 years 1 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...
82
Voted
STACS
1992
Springer
15 years 4 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
87
Voted
ICRA
2006
IEEE
115views Robotics» more  ICRA 2006»
15 years 6 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