An Optimal Algorithm for Euclidean Shortest Paths in the Plane
SIAM Journal on Computing
Approximating the Stretch Factor of Euclidean Graphs
SIAM Journal on Computing
Computing the Maximum Detour and Spanning Ratio of Planar Paths, Trees, and Cycles
STACS '02 Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science
Planar Spanners and Approximate Shortest Path Queries among Obstacles in the Plane
ESA '96 Proceedings of the Fourth Annual European Symposium on Algorithms
Finding the best shortcut in a geometric network
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
The Geometric Dilation of Finite Point Sets
Algorithmica
Geometric Spanner Networks
Region-fault tolerant geometric spanners
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Experimental study of geometric t-spanners: a running time comparison
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
Dilation-optimal edge deletion in polygonal cycles
ISAAC'07 Proceedings of the 18th international conference on Algorithms and computation
Connect the Dot: Computing Feed-Links with Minimum Dilation
WADS '09 Proceedings of the 11th International Symposium on Algorithms and Data Structures
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Road network data is often incomplete, making it hard to perform network analysis. This paper discusses the problem of extending partial road networks with reasonable links, using the concept of dilation (also known as crow flight conversion coefficient). To this end, we study how to connect a point (relevant location) inside a polygon (face of the known part of the road network) to the boundary so that the dilation from that point to any point on the boundary is not too large. We provide algorithms and heuristics, and give a computational and experimental analysis.