9K citations). Stanley Osher & James Sethian"> 9K citations). Stanley Osher & James Sethian">

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Variational methods in image processing Level Sets and Geodesic Active Contours Variational methods in image processing Level Sets and Geodesic Active.

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Presentation on theme: "Variational methods in image processing Level Sets and Geodesic Active Contours Variational methods in image processing Level Sets and Geodesic Active."— Presentation transcript:

1 Variational methods in image processing Level Sets and Geodesic Active Contours Variational methods in image processing Level Sets and Geodesic Active Contours Week 8 Guy Gilboa Advanced Course 049064

2 Level Set Concept Evolving a curve implicitly by evolving a function in a higher dimension:

3 Osher & Sethian Seminal paper: Osher, Stanley, and James A. Sethian. "Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations." Journal of computational physics 79.1 (1988): 12-49. (>9K citations). Stanley Osher & James Sethian

4 Level Sets – basic evolution Taken for Sethian’s site: http://math.berkeley.edu/~sethian/ http://math.berkeley.edu/~sethian/

5 Initialization and Re-initialization

6 Geodesic Active Contours Taken from: http://www.cim.mcgill.ca/~shape/projects/geometric/geometric_flows.htmlhttp://www.cim.mcgill.ca/~shape/projects/geometric/geometric_flows.html

7 GAC in 3D, change of topology

8 Level Sets for evolving surfaces based on physical models Ron Fedkiw (CS, Stanford) http://physbam.stanford.edu/~fedkiw/

9 Fedkiw - glass

10 Fedkiw - trampoline

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