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Article: High-Resolution Color Image Reconstruction with Neumann Boundary Conditions
Title | High-Resolution Color Image Reconstruction with Neumann Boundary Conditions |
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Authors | |
Keywords | Color Cosine transform Image reconstruction Preconditioners Toeplitz matrix |
Issue Date | 2001 |
Citation | Annals of Operations Research, 2001, v. 103, n. 1-4, p. 99-113 How to Cite? |
Abstract | This paper studies the application of preconditioned conjugate gradient methods in high-resolution color image reconstruction problems. The high-resolution color images are reconstructed from multiple undersampled, shifted, degraded color frames with subpixel displacements. The resulting degradation matrices are spatially variant. To capture the changes of reflectivity across color channels, the weighted H1 regularization functional is used in the Tikhonov regularization. The Neumann boundary condition is also employed to reduce the boundary artifacts. The preconditioners are derived by taking the cosine transform approximation of the degradation matrices. Numerical examples are given to illustrate the fast convergence of the preconditioned conjugate gradient method. |
Persistent Identifier | http://hdl.handle.net/10722/276726 |
ISSN | 2023 Impact Factor: 4.4 2023 SCImago Journal Rankings: 1.019 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ng, Michael K. | - |
dc.contributor.author | Kwan, Wilson C. | - |
dc.date.accessioned | 2019-09-18T08:34:28Z | - |
dc.date.available | 2019-09-18T08:34:28Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Annals of Operations Research, 2001, v. 103, n. 1-4, p. 99-113 | - |
dc.identifier.issn | 0254-5330 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276726 | - |
dc.description.abstract | This paper studies the application of preconditioned conjugate gradient methods in high-resolution color image reconstruction problems. The high-resolution color images are reconstructed from multiple undersampled, shifted, degraded color frames with subpixel displacements. The resulting degradation matrices are spatially variant. To capture the changes of reflectivity across color channels, the weighted H1 regularization functional is used in the Tikhonov regularization. The Neumann boundary condition is also employed to reduce the boundary artifacts. The preconditioners are derived by taking the cosine transform approximation of the degradation matrices. Numerical examples are given to illustrate the fast convergence of the preconditioned conjugate gradient method. | - |
dc.language | eng | - |
dc.relation.ispartof | Annals of Operations Research | - |
dc.subject | Color | - |
dc.subject | Cosine transform | - |
dc.subject | Image reconstruction | - |
dc.subject | Preconditioners | - |
dc.subject | Toeplitz matrix | - |
dc.title | High-Resolution Color Image Reconstruction with Neumann Boundary Conditions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1023/A:1012990619503 | - |
dc.identifier.scopus | eid_2-s2.0-0035729438 | - |
dc.identifier.volume | 103 | - |
dc.identifier.issue | 1-4 | - |
dc.identifier.spage | 99 | - |
dc.identifier.epage | 113 | - |
dc.identifier.eissn | 1572-9338 | - |
dc.identifier.isi | WOS:000173045500006 | - |
dc.identifier.issnl | 0254-5330 | - |