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An efficient algorithm for finding a collision‐free path among polyhedral obstacles
Author(s) -
Fu LiChen,
Liu DongYueh
Publication year - 1990
Publication title -
journal of robotic systems
Language(s) - English
Resource type - Journals
eISSN - 1097-4563
pISSN - 0741-2223
DOI - 10.1002/rob.4620070107
Subject(s) - visibility graph , shortest path problem , graph , path (computing) , computer science , algorithm , collision , widest path problem , focus (optics) , visibility , distance , graph algorithms , bidirectional search , theoretical computer science , dijkstra's algorithm , search algorithm , mathematics , best first search , geography , regular polygon , meteorology , optics , programming language , physics , geometry , computer security , beam search
The use of graph search algorithms on a so called “visibility graph” is a common approach to finding a minimum‐distance collision‐free path among polyhedral obstacles in a 2D environment. Complexity of the search can be greatly reduced by reducing the size of the graph. The focus of this article is to provide an algorithm aimed at constructing a subvisibility graph using only “necessary” obstacles, i.e., excluding as many obstacles as possible whose vertices are never via points of the shortest collision‐free path.

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