'The A*
algorithm is the fastest graph search algorithm that finds the path that costs
the least from source node to goal node. (A node can be hexagon, square or
circle, etc.)' - Arpit Mishra Oct 20, 2016
https://www.quora.com/How-does-a-star-algorithm-work
A* search algorithm is one the most popular techniques for finding the shortest path between two points in an area. A* was designed to combine heuristics such as Best-First-Search (BFS) and Dijkstra's algorithm. Unlike Dijkstra's and best-first-search A* doesn't randomly select a node to move to it will select what looks the most promising/cost efficient node.
f(n) = g(n) + h(n)
g(n) is the cost (distance) of the path from the starting point to another point n and h(n) is the estimated cost from point n to the goal.
Point A=7 and to move to point B costs 1 so the final cost is 8
'there are many ways to implement pathfinding, but not all of them return the shortest path, or are efficient or even reliable.' - David Gouveia/BlueRaja - Danny Pflughoeft May 27 2012
https://gamedev.stackexchange.com/questions/28041/path-finding-algorithms
Breadth First Search examines all directions
which is useful for regular path finding as well as procedural map generation,
flow field path-finding, distance maps and other types of map analysis.https://www.quora.com/How-does-a-star-algorithm-work
A* search algorithm is one the most popular techniques for finding the shortest path between two points in an area. A* was designed to combine heuristics such as Best-First-Search (BFS) and Dijkstra's algorithm. Unlike Dijkstra's and best-first-search A* doesn't randomly select a node to move to it will select what looks the most promising/cost efficient node.
f(n) = g(n) + h(n)
g(n) is the cost (distance) of the path from the starting point to another point n and h(n) is the estimated cost from point n to the goal.
Point A=7 and to move to point B costs 1 so the final cost is 8
'there are many ways to implement pathfinding, but not all of them return the shortest path, or are efficient or even reliable.' - David Gouveia/BlueRaja - Danny Pflughoeft May 27 2012
https://gamedev.stackexchange.com/questions/28041/path-finding-algorithms
Dijkstra's Algorithm (also called Uniform Cost Search) prioritizes which paths to explore. As opposed to exploring all possible paths, it prefers lower cost paths. It allows for assigning lower costs to encourage moving on roads and higher costs to avoid environments such as forests which could have more obstacles, using higher costs to discourage going into those areas. When movement costs vary this is used in place of Breadth First Search.
Dijkstra’s Algorithm works well to find the shortest path, but it wastes time exploring in directions that aren’t promising. Best First Search explores in promising directions but it may not find the shortest path. The A* algorithm uses both the actual distance from the start and the estimated distance to the goal.
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