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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 11 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
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...
ICIP
1994
IEEE
13 years 9 months ago
Total Variation Based Image Restoration with Free Local Constraints
The two main plagues of image restoration are oscillations and smoothing. Traditional image restoration techniques prevent parasitic oscillations by resorting to smooth regulariza...
Leonid I. Rudin, Stanley Osher
SIAMSC
2008
145views more  SIAMSC 2008»
13 years 4 months ago
Fast Multilevel Algorithm for a Minimization Problem in Impulse Noise Removal
An effective 2-phase method for removing impulse noise was recently proposed. Its phase 1 identifies noisy pixel candidates by using median-type filters. Then in phase 2, it resto...
Raymond H. Chan, Ke Chen 0002