An infeasible Predictor-Corrector Interior Point Method Applied to Image Denoising - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1997

An infeasible Predictor-Corrector Interior Point Method Applied to Image Denoising

Cecilia Pola
  • Function : Author

Abstract

Image recovery problems can be solved using optimization techniques. In this case, they often lead to the resolution of either a large scale quadratic program, or, equivalently, to a nondifferentiable minimization problem. Interior point methods are widely known for their efficiency in linear programming. Lately, they have been extended with success to the resolution of linear complementary problems, (LCP), which include convex quadratic programming. We present an infeasible predictor-corrector interior point method, in the general framework of monotone (LCP). The algorithm has polynomial complexity. We also prove it converges globally, with asymptotic quadratic rate. We apply this method to the denoising of images. In the implementation we take advantage of the underlying structure of the problem, specially its sparsity. We obtain good performances, that we assess by comparing the method with a variable-metric proximal bundle algorithm applied to the resolution of the equivalent nonsmooth problem.
Fichier principal
Vignette du fichier
RR-3205.pdf (4.08 Mo) Télécharger le fichier

Dates and versions

inria-00073484 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073484 , version 1

Cite

Cecilia Pola, Claudia Sagastizábal. An infeasible Predictor-Corrector Interior Point Method Applied to Image Denoising. [Research Report] RR-3205, INRIA. 1997. ⟨inria-00073484⟩
96 View
258 Download

Share

Gmail Facebook Twitter LinkedIn More