Fast marching method for generic shape from shading

Authors:
Emmanuel Prados;Stefano Soatto
Affiliations:
Dept. of Computer Science, University of California, Los Angeles, CA;Dept. of Computer Science, University of California, Los Angeles, CA
Venue:
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Year:
2005

Citing 13
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Abstract

We develop a fast numerical method to approximate the solutions of a wide class of equations associated to the Shape From Shading problem. Our method, which is based on the control theory and the interfaces propagation, is an extension of the “Fast Marching Method” (FMM) [30,25]. In particular our method extends the FMM to some equations for which the solution is not systematically decreasing along the optimal trajectories. We apply with success our one-pass method to the Shape From Shading equations which are involved by the most relevant and recent modelings [22,21] and which cannot be handled by the most recent extensions of the FMM [26,8].