Comparison of formulations and solution methods for image restoration problems

Inverse Problems

Volumn 17, Issue 6, 2001, Pages 1977-1995

  Karkkainen T ^a   Majava, K ^a   Makela M M ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; GRADIENT METHODS; HEURISTIC METHODS; OPTIMIZATION; PROBLEM SOLVING;

BUNDLE METHODS;

IMAGE RECONSTRUCTION;

EID: 0035661920     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/6/326     Document Type: Article

References (33)

1. An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems
2. Adaptive image reconstruction using information measures
3. An image enhancement technique for electrical impedance tomography
4. Image recovery via total variation minimization and related problems
5. Nonlinear total variation based noise removal algorithms
6. An active set strategy based on the augmented Lagrangian formulation for image restoration
7. Nonmonotone and monotone active-set methods for image restoration: Part I. Convergence analysis
8. Nonmonotone and monotone active-set methods for image restoration: Part 2. Numerical results
9. A bundle-Newton method for nonsmooth unconstrained minimization
10. Extensions to total variation denoising advanced signal processing algorithms, architectures and implementations
11. High-order total variation-based image restoration
12. BV-type regularization methods for convoluted objects with edge, flat and grey scales
13. Minimal surfaces and functions of bounded variation
14. Recovery of blocky images from noisy and blurred data
15. Structural properties of solutions to total variation regularization problems
16. Nonlinear multiobjective optimization
17. Iterative methods for total variation denoising
18. A variational method in image recovery
19. Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
20. The cutting plane method for solving convex programs
21. Proximity control in bundle methods for convex nondifferentiable optimization
22. A method for solving certain quadratic programming problems arising in nonsmooth optimization
23. Dual method for solving a special problem of quadratic programming as a subproblem at linearly constrained nonlinear minmax approximation
24. Numerical piecewise-uniform regularization for two-dimensional ill-posed problems
25. Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems
26. Determination of regularization parameter in monotone active set method for image restoration
27. SAC-methods for image restoration