Visibility of disjoint polygons
Algorithmica
New methods for computing visibility graphs
SCG '88 Proceedings of the fourth annual symposium on Computational geometry
How good are convex hull algorithms?
Computational Geometry: Theory and Applications
An algorithm for planning collision-free paths among polyhedral obstacles
Communications of the ACM
Proximity and reachability in the plane.
Proximity and reachability in the plane.
An output sensitive algorithm for computing visibility graphs
SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science
Theta*: any-angle path planning on grids
Journal of Artificial Intelligence Research
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This paper describes an algorithm for path planning among polygonal obstacles that is safe and optimal in the 2D plane. The algorithm is a computational geometry based path planner but unlike existing path planners, the proposed approach works by simulating the physical property of an inextensible, frictionless string. The string has been modeled with certain constraints which lead to the determination of the shortest safe path between origin and goal points. This paper deals with the details of the proposed mechanism. The proposed technique has been successfully simulated and tested with suitable experiments.