Energy minimization methods
Résumé
Energy minimization methods are a very popular tool in image and signal processing. This chapter deals with images defined on a discrete finite set. Energy minimization methods are presented from a non classical standpoint: we provide analytical results on their minimizers that reveal salient features of the images recovered in this way, as a function of the shape of the energy itself. The energies under consideration can be differentiable or not, convex or not. Examples and illustrations corroborate the presented results. Applications that take benefit from these results are presented as well.
Mots clés
Edge restoration
Inverse problems
Image restora- tion
Minimizer function
Non-convex analysis
Non-smooth analysis
Optimization
Perturbation anal- ysis
Proximal analysis
Regularization
Signal and image processing
Signal restoration
Stability analysis
Total variation
Variational methods.
Variational methods
Analysis of minimizers
Denoising
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