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Vector field regularization by generalized diffusion
Abstract : Regularization is a common procedure when dealing with inverse problems. Because of the ill-posedness of many inverse problems, one needs to add some constraints as regularization to the problem in order to get a satisfactory solution. A difficulty when using multiple constraints is to properly choose a weighting parameter for each constraint. We propose here a vector field regularization method that combines in a single constraint the two well-known regularization methods namely Tikhonov regularization and smoothing regularization. The particularity of this new method is that one have only one balance parameter to determine. We also suggest a robust implementation of the proposed method based on the equivalent generalized diffusion equation in some particular cases. This implementation is illustrated on a set of vector fields of fluid motion
Cited literature [10 references]
https://hal.inria.fr/inria-00360904
Contributor : Arthur Vidard <>
Submitted on : Friday, February 13, 2009 - 9:10:19 AM
Last modification on : Friday, July 3, 2020 - 4:48:22 PM
Document(s) archivé(s) le : Saturday, November 26, 2016 - 5:28:18 AM
Contributor : Arthur Vidard <>
Submitted on : Friday, February 13, 2009 - 9:10:19 AM
Last modification on : Friday, July 3, 2020 - 4:48:22 PM
Document(s) archivé(s) le : Saturday, November 26, 2016 - 5:28:18 AM
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RR-6844.pdf
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