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 transcript:

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

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

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): (>9K citations). Stanley Osher & James Sethian

Level Sets – basic evolution Taken for Sethian’s site:

Initialization and Re-initialization

Geodesic Active Contours Taken from:

GAC in 3D, change of topology

Level Sets for evolving surfaces based on physical models Ron Fedkiw (CS, Stanford)

Fedkiw - glass

Fedkiw - trampoline