Tutorial on Fast Marching Method - Robotics Algorithms & Motion ...
Tutorial on Fast Marching Method - Robotics Algorithms & Motion ...
Tutorial on Fast Marching Method - Robotics Algorithms & Motion ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
A* versus FM*<br />
100<br />
90<br />
80<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
10 20 30 40 50 60 70 80 90 100<br />
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 />
100<br />
90<br />
80<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
10 20 30 40 50 60 70 80 90 100<br />
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 />
7