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Energy Minimization Methods

In: Handbook of Mathematical Methods in Imaging

Author

Listed:
  • Mila Nikolova

    (ENS Cachan, CNRS UniversSud)

Abstract

Energy minimization methods are a very popular tool in image and signalprocessing. This chapter deals with images defined on a discrete finite set. Energyminimization methods are presented from a nonclassical standpoint: weprovide analytical results on their minimizers that reveal salient featuresof the images recovered in this way, as a function of the shape of theenergy itself. The energies under consideration can be differentiable ornot, convex or not. Examples and illustrations corroborate the presentedresults. Applications that take benefit from these results are presented as well.

Suggested Citation

  • Mila Nikolova, 2011. "Energy Minimization Methods," Springer Books, in: Otmar Scherzer (ed.), Handbook of Mathematical Methods in Imaging, chapter 5, pages 139-185, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-92920-0_5
    DOI: 10.1007/978-0-387-92920-0_5
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