Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities
In this work, we reformulate the method presented in App. Opt. 53:2297 (2014) as a constrained minimization problem using the augmented Lagrangian method. First we introduce the new method and then describe the numerical solution, which results in a simple algorithm. Numerical experiments with both...
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| Format: | Article |
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SAGE Publishing
2020-07-01
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| Series: | Journal of Algorithms & Computational Technology |
| Online Access: | https://doi.org/10.1177/1748302620941413 |
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doaj-cef4d6e731ca40c9a67ddb60f01803752020-11-25T02:46:57ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30262020-07-011410.1177/1748302620941413Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuitiesRicardo Legarda-SaenzCarlos Brito-LoezaIn this work, we reformulate the method presented in App. Opt. 53:2297 (2014) as a constrained minimization problem using the augmented Lagrangian method. First we introduce the new method and then describe the numerical solution, which results in a simple algorithm. Numerical experiments with both synthetic and real fringe patterns show the accuracy and simplicity of the resulting algorithm.https://doi.org/10.1177/1748302620941413 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ricardo Legarda-Saenz Carlos Brito-Loeza |
| spellingShingle |
Ricardo Legarda-Saenz Carlos Brito-Loeza Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities Journal of Algorithms & Computational Technology |
| author_facet |
Ricardo Legarda-Saenz Carlos Brito-Loeza |
| author_sort |
Ricardo Legarda-Saenz |
| title |
Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities |
| title_short |
Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities |
| title_full |
Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities |
| title_fullStr |
Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities |
| title_full_unstemmed |
Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities |
| title_sort |
augmented lagrangian method for a total variation-based model for demodulating phase discontinuities |
| publisher |
SAGE Publishing |
| series |
Journal of Algorithms & Computational Technology |
| issn |
1748-3026 |
| publishDate |
2020-07-01 |
| description |
In this work, we reformulate the method presented in App. Opt. 53:2297 (2014) as a constrained minimization problem using the augmented Lagrangian method. First we introduce the new method and then describe the numerical solution, which results in a simple algorithm. Numerical experiments with both synthetic and real fringe patterns show the accuracy and simplicity of the resulting algorithm. |
| url |
https://doi.org/10.1177/1748302620941413 |
| work_keys_str_mv |
AT ricardolegardasaenz augmentedlagrangianmethodforatotalvariationbasedmodelfordemodulatingphasediscontinuities AT carlosbritoloeza augmentedlagrangianmethodforatotalvariationbasedmodelfordemodulatingphasediscontinuities |
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1724755591425949696 |