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COMPGEOM
1998
ACM
13 years 12 months ago
Constructing Approximate Shortest Path Maps in Three Dimensions
We present a new technique for constructing a data-structure that approximates shortest path maps in IRd . By applying this technique, we get the following two results on approxim...
Sariel Har-Peled
CORR
2011
Springer
184views Education» more  CORR 2011»
13 years 2 months ago
Finding Shortest Path for Developed Cognitive Map Using Medial Axis
— this paper presents an enhancement of the medial axis algorithm to be used for finding the optimal shortest path for developed cognitive map. The cognitive map has been develop...
Hazim A. Farhan, Hussein H. Owaied, Suhaib I. Al-G...
PVLDB
2010
146views more  PVLDB 2010»
13 years 6 months ago
Graph Indexing of Road Networks for Shortest Path Queries with Label Restrictions
The current widespread use of location-based services and GPS technologies has revived interest in very fast and scalable shortest path queries. We introduce a new shortest path q...
Michael Rice, Vassilis J. Tsotras
TKDE
2002
239views more  TKDE 2002»
13 years 7 months ago
An Efficient Path Computation Model for Hierarchically Structured Topographical Road Maps
In this paper, we have developed a HiTi (Hierarchical MulTi) graph model for structuring large topographical road maps to the minimum cost route computation. The HiTi graph model p...
Sungwon Jung, Sakti Pramanik
COMPGEOM
2004
ACM
14 years 1 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir