Titelaufnahme

Titel
An efficient primal dual method for L1TV image restoration
VerfasserDong, Yiqiu ; Hintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Neri, Marrick
Erschienen in
SIAM Journal on Imaging Sciences, 2009, Jg. 2, H. 4, S. 1168-1189
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)deblurring / duality / data fitting / random-valued impulse noise / salt-and-pepper noise / semismooth Newton / total variation regularization
Schlagwörter (GND)Bildrekonstruktion / Optimierung / Online-Publikation
ISSN1936-4954
URNurn:nbn:at:at-ubg:3-975 Persistent Identifier (URN)
DOIdoi:10.1137/090758490 
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An efficient primal dual method for L1TV image restoration [2.59 mb]
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Zusammenfassung (Englisch)

Image restoration based on an l1-data-fitting term and edge preserving total variation regularization is considered. The associated nonsmooth energy minimization problem is handled by utilizing Fenchel duality and dual regularization techniques. The latter guarantee uniqueness of the dual solution and an efficient way for reconstructing a primal solution, i.e., the restored image, from a dual solution. For solving the resulting primal-dual system, a semismooth Newton solver is proposed and its convergence is studied. The paper ends with a report on restoration results obtained by the new algorithm for salt-and-pepper or random-valued impulse noise including blurring. A comparison with other methods is provided as well.

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