Nonmonotone and monotone active-set methods for image restoration, Part 2:Numerical results

Authors
Karkkainen, T Majava, K
Citation
T. Karkkainen et K. Majava, Nonmonotone and monotone active-set methods for image restoration, Part 2:Numerical results, J OPTIM TH, 106(1), 2000, pp. 81-105
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
106
Issue
1
Year of publication
2000
Pages
81 - 105
Database
ISI
SICI code
0022-3239(200007)106:1<81:NAMAMF>2.0.ZU;2-2
Abstract
Active-set methods based on augmented Lagrangian smoothing of nondifferenti able optimization problems arising in image restoration are studied through numerical experiments. Implemented algorithms for solving both one-dimensi onal and two-dimensional image restoration problems are described. A new, d irect way for solving the constrained optimization problem appearing in the inner iteration of the monotone algorithms is presented. Several numerical examples are included.