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Tutorial on Fast Marching Method - Robotics Algorithms & Motion ...

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A* versus FM*<br />

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A* = Breadth-First + heuristic<br />

FM* = <strong>Fast</strong> <strong>Marching</strong> + heuristic<br />

4-c<strong>on</strong>nexity A* (Nilss<strong>on</strong>, 1968) 4-c<strong>on</strong>nexity FM*<br />

DTSI LIST – DTSI – Service Robotique Interactive<br />

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On a grid with N points: FM complexity = A* complexity = O(N.log(N)):<br />

• Maximum cost of sorting the queue: log(N)<br />

• Maximum number of iterati<strong>on</strong>s: N<br />

05/02/008<br />

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