Antireflective Boundary Conditions for Deblurring Problems
This survey paper deals with the use of antireflective boundary conditions for deblurring problems where the issues that we consider are the precision of the reconstruction when the noise is not present, the linear algebra related to these boundary conditions, the iterative and noniterative regulari...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Journal of Electrical and Computer Engineering |
| Online Access: | http://dx.doi.org/10.1155/2010/241467 |
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| _version_ | 1850224033702871040 |
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| author | Marco Donatelli Stefano Serra-Capizzano |
| author_facet | Marco Donatelli Stefano Serra-Capizzano |
| author_sort | Marco Donatelli |
| collection | DOAJ |
| description | This survey paper deals with the use of antireflective boundary conditions for deblurring problems where the issues that we consider are the precision of the reconstruction when the noise is not present, the linear algebra related to these boundary conditions, the iterative and noniterative regularization solvers when the noise is considered, both from the viewpoint of the computational cost and from the viewpoint of the quality of the reconstruction. In the latter case, we consider a reblurring approach that replaces the transposition operation with correlation. For many of the considered items, the anti-reflective algebra coming from the given boundary conditions is the optimal choice. Numerical experiments corroborating the previous statement and a conclusion section end the paper. |
| format | Article |
| id | doaj-art-50dcf4aa504a4d4b94c3ad615b8f26f8 |
| institution | OA Journals |
| issn | 2090-0147 2090-0155 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Electrical and Computer Engineering |
| spelling | doaj-art-50dcf4aa504a4d4b94c3ad615b8f26f82025-08-20T02:05:45ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552010-01-01201010.1155/2010/241467241467Antireflective Boundary Conditions for Deblurring ProblemsMarco Donatelli0Stefano Serra-Capizzano1Dipartimento di Fisica e Matematica, Università dell'Insubria-Sede di Como, Via Valleggio 11, 22100 Como, ItalyDipartimento di Fisica e Matematica, Università dell'Insubria-Sede di Como, Via Valleggio 11, 22100 Como, ItalyThis survey paper deals with the use of antireflective boundary conditions for deblurring problems where the issues that we consider are the precision of the reconstruction when the noise is not present, the linear algebra related to these boundary conditions, the iterative and noniterative regularization solvers when the noise is considered, both from the viewpoint of the computational cost and from the viewpoint of the quality of the reconstruction. In the latter case, we consider a reblurring approach that replaces the transposition operation with correlation. For many of the considered items, the anti-reflective algebra coming from the given boundary conditions is the optimal choice. Numerical experiments corroborating the previous statement and a conclusion section end the paper.http://dx.doi.org/10.1155/2010/241467 |
| spellingShingle | Marco Donatelli Stefano Serra-Capizzano Antireflective Boundary Conditions for Deblurring Problems Journal of Electrical and Computer Engineering |
| title | Antireflective Boundary Conditions for Deblurring Problems |
| title_full | Antireflective Boundary Conditions for Deblurring Problems |
| title_fullStr | Antireflective Boundary Conditions for Deblurring Problems |
| title_full_unstemmed | Antireflective Boundary Conditions for Deblurring Problems |
| title_short | Antireflective Boundary Conditions for Deblurring Problems |
| title_sort | antireflective boundary conditions for deblurring problems |
| url | http://dx.doi.org/10.1155/2010/241467 |
| work_keys_str_mv | AT marcodonatelli antireflectiveboundaryconditionsfordeblurringproblems AT stefanoserracapizzano antireflectiveboundaryconditionsfordeblurringproblems |