Learned Block Iterative Shrinkage Thresholding Algorithm for Photothermal Super Resolution Imaging

Block-sparse regularization is already well known in active thermal imaging and is used for multiple-measurement-based inverse problems. The main bottleneck of this method is the choice of regularization parameters which differs for each experiment. We show the benefits of using a learned block iter...

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Veröffentlicht in:Sensors (Basel, Switzerland) Jg. 22; H. 15; S. 5533
Hauptverfasser: Hauffen, Jan Christian, Kästner, Linh, Ahmadi, Samim, Jung, Peter, Caire, Giuseppe, Ziegler, Mathias
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Basel MDPI AG 25.07.2022
MDPI
Schlagworte:
3-D printers
active thermal imaging
Algorithms
Applied mathematics
block-sparsity
Cameras
deep unfolding
defect reconstruction
Defects
Heat detection
Inverse problems
Investigations
iterative shrinkage thresholding algorithm
laser thermography
Lasers
Mathematical models
Nondestructive testing
Optimization techniques
Regularization methods
Sparsity
Thermography
ISSN:1424-8220, 1424-8220
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Zusammenfassung:Block-sparse regularization is already well known in active thermal imaging and is used for multiple-measurement-based inverse problems. The main bottleneck of this method is the choice of regularization parameters which differs for each experiment. We show the benefits of using a learned block iterative shrinkage thresholding algorithm (LBISTA) that is able to learn the choice of regularization parameters, without the need to manually select them. In addition, LBISTA enables the determination of a suitable weight matrix to solve the underlying inverse problem. Therefore, in this paper we present LBISTA and compare it with state-of-the-art block iterative shrinkage thresholding using synthetically generated and experimental test data from active thermography for defect reconstruction. Our results show that the use of the learned block-sparse optimization approach provides smaller normalized mean square errors for a small fixed number of iterations. Thus, this allows us to improve the convergence speed and only needs a few iterations to generate accurate defect reconstruction in photothermal super-resolution imaging.
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ISSN:1424-8220
1424-8220
DOI:10.3390/s22155533