Publication: A Novel Sparse Image Reconstruction Based on Iteratively Reweighted Least Squares Using Diagonal Regularization
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Issued Date
2023-01-01
Resource Type
eISSN
17982340
Scopus ID
2-s2.0-85178896338
Journal Title
Journal of Advances in Information Technology
Volume
14
Issue
6
Start Page
1365
End Page
1371
Rights Holder(s)
SCOPUS
Bibliographic Citation
Journal of Advances in Information Technology Vol.14 No.6 (2023) , 1365-1371
Suggested Citation
Tausiesakul B., Asavaskulkiet K. A Novel Sparse Image Reconstruction Based on Iteratively Reweighted Least Squares Using Diagonal Regularization. Journal of Advances in Information Technology Vol.14 No.6 (2023) , 1365-1371. 1371. doi:10.12720/jait.14.6.1365-1371 Retrieved from: https://hdl.handle.net/20.500.14740/20075
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Abstract
—In the information age, numerous data needs to be transferred from one point to another. The bigger the amount of the data, the more the consumption in computation and memory. Due to a limitation of the existing resource, the compression of the data and the reconstruction of the compressed data receive much attention in several research areas. A sparse signal reconstruction problem is considered in this work. The signal can be captured into a vector whose elements can be zeros. Iteratively Reweighted Least Squares (IRLS) is a technique that is designed for extracting the signal vector from the available observation data. In this paper, a new algorithm based on the iteratively reweighted least squares using diagonal regularization method are proposed for sparse image reconstruction. The explicit solution of the IRLS optimization problem is derived and then an alternative IRLS algorithm based on the available solution is proposed. Since the matrix inverse in the iterative computation can be subject to ill condition, a diagonal regularization is proposed to overcome such a problem. Numerical simulation is conducted to illustrate the performance of the new IRLS with the comparison to the former IRLS algorithm. Numerical results indicate that the new IRLS method provides lower signal recovery error than the conventional IRLS approach at the expense of more complexity in terms of more computational time.