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The wavefront expansion algorithm is a specialized potential field path planner with breadth-first search to avoid local minima. [1] [2] It uses a growing circle around the robot. The nearest neighbors are analyzed first and then the radius of the circle is extended to distant regions. [3]
The idea was first described by the video game industry, which had a need for planning in large maps with a low amount of CPU time. The concept of using abstraction and heuristics is older and was first mentioned under the name ABSTRIPS (Abstraction-Based STRIPS) [7] which was used to efficiently search the state spaces of logic games. [8]
Animated example of a breadth-first search. Black: explored, grey: queued to be explored later on BFS on Maze-solving algorithm Top part of Tic-tac-toe game tree. Breadth-first search (BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property.
Breadth-first search can be viewed as a special-case of Dijkstra's algorithm on unweighted graphs, where the priority queue degenerates into a FIFO queue. The fast marching method can be viewed as a continuous version of Dijkstra's algorithm which computes the geodesic distance on a triangle mesh.
What sets A* apart from a greedy best-first search algorithm is that it takes the cost/distance already traveled, g(n), into account. Some common variants of Dijkstra's algorithm can be viewed as a special case of A* where the heuristic h ( n ) = 0 {\displaystyle h(n)=0} for all nodes; [ 12 ] [ 13 ] in turn, both Dijkstra and A* are special ...
Thus, simple depth-first or breadth-first searches do not traverse every infinite tree, and are not efficient on very large trees. However, hybrid methods can traverse any (countably) infinite tree, essentially via a diagonal argument ("diagonal"—a combination of vertical and horizontal—corresponds to a combination of depth and breadth).
Best-first search, a path finding algorithm; Boot File System, a file system used on UnixWare to store files necessary to its boot process; Breadth-first search, a graph search algorithm; Brain Fuck Scheduler, a process scheduler for the Linux kernel
Ariadne and Theseus, Bambini Niccolo. Ariadne's thread, named for the legend of Ariadne, is solving a problem which has multiple apparent ways to proceed—such as a physical maze, a logic puzzle, or an ethical dilemma—through an exhaustive application of logic to all available routes.