A modified spectral conjugate gradient projection algorithm for total variation image restoration

A modified spectral conjugate gradient projection algorithm for total variation image restoration

In this study, a modified spectral conjugate gradient projection method is presented to solve total variation image restoration, which is transferred into the nonlinear constrained optimization with the closed constrained set. The global convergence of the proposed scheme is analyzed. In the end, so...

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Veröffentlicht in:Applied mathematics letters 2014-01, Vol.27, p.26-35
Hauptverfasser: Zhang, Benxin, Zhu, Zhibin, Li, Shuang’an
Format: Artikel
Sprache:eng
Schlagworte:
Conjugate gradient projection
Conjugate gradients
Constrained optimization
Constraints
Convergence
Global convergence
Image restoration
Mathematical models
Optimization
Projection
Spectra
Total variation
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Zusammenfassung:In this study, a modified spectral conjugate gradient projection method is presented to solve total variation image restoration, which is transferred into the nonlinear constrained optimization with the closed constrained set. The global convergence of the proposed scheme is analyzed. In the end, some numerical results illustrate the efficiency of this method.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2013.08.006