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TIP
2010
89views more  TIP 2010»
12 years 11 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 difficu...
Mila Nikolova, Michael K. Ng, Chi-Pan Tam
SIAMIS
2008
174views more  SIAMIS 2008»
13 years 4 months ago
Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization
We consider the restoration of piecewise constant images where the number of the regions and their values are not fixed in advance, with a good difference of piecewise constant val...
Mila Nikolova, Michael K. Ng, Shuqin Zhang, Wai-Ki...
SIAMIS
2010
155views more  SIAMIS 2010»
12 years 11 months ago
Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
Image restoration problems are often converted into large-scale, nonsmooth and nonconvex optimization problems. Most existing minimization methods are not efficient for solving su...
Xiaojun Chen, Weijun Zhou
SCALESPACE
2007
Springer
13 years 10 months ago
Bounds on the Minimizers of (nonconvex) Regularized Least-Squares
This is a theoretical study on the minimizers of cost-functions composed of an ℓ2 data-fidelity term and a possibly nonsmooth or nonconvex regularization term acting on the di...
Mila Nikolova
TIP
2010
163views more  TIP 2010»
12 years 11 months ago
Fast Image Recovery Using Variable Splitting and Constrained Optimization
We propose a new fast algorithm for solving one of the standard formulations of image restoration and reconstruction which consists of an unconstrained optimization problem where t...
Manya V. Afonso, José M. Bioucas-Dias, M&aa...