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2010

Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction

8 years 3 months ago
Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
Nonconvex nonsmooth regularization has advantages over convex regularization for restoring images with neat edges. However, its practical interest used to be limited by the difficulty of the computational stage which requires a nonconvex nonsmooth minimization. In this paper, we deal with nonconvex nonsmooth minimization methods for image restoration and reconstruction. Our theoretical results show that the solution of the nonconvex nonsmooth minimization problem is composed of constant regions surrounded by closed contours and neat edges. The main goal of this paper is to develop fast minimization algorithms to solve the nonconvex nonsmooth minimization problem. Our experimental results show that the effectiveness and efficiency of the proposed algorithms.
Mila Nikolova, Michael K. Ng, Chi-Pan Tam
Added 22 May 2011
Updated 22 May 2011
Type Journal
Year 2010
Where TIP
Authors Mila Nikolova, Michael K. Ng, Chi-Pan Tam
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