A Non-standard Anisotropic Diffusion for Speckle Noise Removal
The main objective of this article is to develop a non-standard partial differential equation-based anisotropic diffusion model for efficient edge-preserving denoising for speckle noised images. The standard total variation (TV)-based energy functional is not based on the multiplicative-ness of spec...
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| Format: | Article |
| Language: | English |
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International Institute of Informatics and Cybernetics
2007-04-01
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| Series: | Journal of Systemics, Cybernetics and Informatics |
| Subjects: | |
| Online Access: | http://www.iiisci.org/Journal/CV$/sci/pdfs/P610066.pdf
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| _version_ | 1819259930136281088 |
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| author | Hyeona Lim Thomas Neil Williams |
| author_facet | Hyeona Lim Thomas Neil Williams |
| author_sort | Hyeona Lim |
| collection | DOAJ |
| description | The main objective of this article is to develop a non-standard partial differential equation-based anisotropic diffusion model for efficient edge-preserving denoising for speckle noised images. The standard total variation (TV)-based energy functional is not based on the multiplicative-ness of speckle noise which is inappropriate for a speckle noise removal. Moreover, TV-based models can easily lose fine structures and produce non-physical dissipation during the noise removal process. The principal feature in this article is an introduction of a new coefficient for the non-linear diffusion term of the Euler-Lagrange equation corresponding to the minimization of the energy functional. Combination of a new model with a texture-free residual parametrization enables us to overcome the drawback arising from use of the standard TV-based model. The numerical results indicate the effectiveness and robustness of the new model. |
| first_indexed | 2024-12-23T19:17:50Z |
| format | Article |
| id | doaj.art-ae15ce4e49b943139b43242cb91a76ca |
| institution | Directory Open Access Journal |
| issn | 1690-4524 |
| language | English |
| last_indexed | 2024-12-23T19:17:50Z |
| publishDate | 2007-04-01 |
| publisher | International Institute of Informatics and Cybernetics |
| record_format | Article |
| series | Journal of Systemics, Cybernetics and Informatics |
| spelling | doaj.art-ae15ce4e49b943139b43242cb91a76ca2022-12-21T17:34:16ZengInternational Institute of Informatics and CyberneticsJournal of Systemics, Cybernetics and Informatics1690-45242007-04-01521217A Non-standard Anisotropic Diffusion for Speckle Noise RemovalHyeona Lim0Thomas Neil Williams1 Department of Mathematics and Statistics, Mississippi State University Center for Advanced Vehicular Systems, Mississippi State University, Box 5405, Mississippi State, MS 39762, USA The main objective of this article is to develop a non-standard partial differential equation-based anisotropic diffusion model for efficient edge-preserving denoising for speckle noised images. The standard total variation (TV)-based energy functional is not based on the multiplicative-ness of speckle noise which is inappropriate for a speckle noise removal. Moreover, TV-based models can easily lose fine structures and produce non-physical dissipation during the noise removal process. The principal feature in this article is an introduction of a new coefficient for the non-linear diffusion term of the Euler-Lagrange equation corresponding to the minimization of the energy functional. Combination of a new model with a texture-free residual parametrization enables us to overcome the drawback arising from use of the standard TV-based model. The numerical results indicate the effectiveness and robustness of the new model.http://www.iiisci.org/Journal/CV$/sci/pdfs/P610066.pdf nonphysical dissipationtotal variation (TV) modeldenoisingspeckle noiseanisotropic diffusiontexture-free residual parametrizationfine structures |
| spellingShingle | Hyeona Lim Thomas Neil Williams A Non-standard Anisotropic Diffusion for Speckle Noise Removal Journal of Systemics, Cybernetics and Informatics nonphysical dissipation total variation (TV) model denoising speckle noise anisotropic diffusion texture-free residual parametrization fine structures |
| title | A Non-standard Anisotropic Diffusion for Speckle Noise Removal |
| title_full | A Non-standard Anisotropic Diffusion for Speckle Noise Removal |
| title_fullStr | A Non-standard Anisotropic Diffusion for Speckle Noise Removal |
| title_full_unstemmed | A Non-standard Anisotropic Diffusion for Speckle Noise Removal |
| title_short | A Non-standard Anisotropic Diffusion for Speckle Noise Removal |
| title_sort | non standard anisotropic diffusion for speckle noise removal |
| topic | nonphysical dissipation total variation (TV) model denoising speckle noise anisotropic diffusion texture-free residual parametrization fine structures |
| url | http://www.iiisci.org/Journal/CV$/sci/pdfs/P610066.pdf
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