Visibility of disjoint polygons
Algorithmica
Shortest paths in the plane with convex polygonal obstacles
Information Processing Letters
Optimal shortest path queries in a simple polygon
Journal of Computer and System Sciences
An output-sensitive algorithm for computing visibility
SIAM Journal on Computing
Minimal tangent visibility graphs
Computational Geometry: Theory and Applications
An algorithm for planning collision-free paths among polyhedral obstacles
Communications of the ACM
ESA '95 Proceedings of the Third Annual European Symposium on Algorithms
Computational Geometry: Algorithms and Applications
Computational Geometry: Algorithms and Applications
Efficient measurement of continuous space shortest distance around barriers
International Journal of Geographical Information Science
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This paper discusses the problem of wayfinding in complex environments. Movement is complicated in many ways, including the existence of obstacles that impede travel across continuous space. To support route planning and navigation for the blind, shipping, robotics, etc., methods have been developed to identify the shortest or most efficient path. This paper details a GIS based method for finding an optimal path for this problem. The developed approach offers substantial computational advances over existing approaches, making it appealing for real time travel support. Application results are presented to demonstrate the effectiveness of the approach.