A feasible direction method for image restoration

A feasible direction method for image restoration

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Article ID: iaor20127302
Volume: 6
Issue: 8
Start Page Number: 1795
End Page Number: 1817
Publication Date: Dec 2012
Journal: Optimization Letters
Authors: ,
Keywords: image processing, gradient search
Abstract:

In this work, a feasible direction method is proposed for computing the regularized solution of image restoration problems by simply using an estimate of the noise present on the data. The problem is formulated as an optimization problem with one quadratic constraint. The proposed method computes a feasible search direction by inexactly solving a trust region subproblem with the truncated Conjugate Gradient method of Steihaug. The trust region radius is adjusted to maintain feasibility and a line‐search globalization strategy is employed. The global convergence of the method is proved. The results of image denoising and deblurring are presented in order to illustrate the effectiveness and efficiency of the proposed method.

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