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» Shortest Path Problems on a Polyhedral Surface
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WADS
2009
Springer
317views Algorithms» more  WADS 2009»
13 years 11 months ago
Shortest Path Problems on a Polyhedral Surface
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
Atlas F. Cook, Carola Wenk
DCG
2010
289views more  DCG 2010»
13 years 5 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...
COMPGEOM
2000
ACM
13 years 9 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
W2GIS
2004
Springer
13 years 10 months ago
Expansion-Based Algorithms for Finding Single Pair Shortest Path on Surface
Abstract. Finding single pair shortest paths on surface is a fundamental problem in various domains, like Geographic Information Systems (GIS) 3D applications, robotic path plannin...
Ke Deng, Xiaofang Zhou
ICCSA
2007
Springer
13 years 11 months ago
Shortest Path Queries Between Geometric Objects on Surfaces
Abstract. We consider geometric shortest path queries between arbitrary pairs of objects on a connected polyhedral surface P of genus g. The query objects are points, vertices, edg...
Hua Guo, Anil Maheshwari, Doron Nussbaum, Jör...