Variational Image Denoising Approach with Diffusion Porous Media Flow
A novel PDE-based image denoising approach is proposed in this paper. One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation ∂u/∂t=Δβ(u), where β is a nonlinear continuous function of the form β(u)=λum, 0<m<1. With resp...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/856876 |
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| _version_ | 1849685974761603072 |
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| author | Tudor Barbu |
| author_facet | Tudor Barbu |
| author_sort | Tudor Barbu |
| collection | DOAJ |
| description | A novel PDE-based image denoising approach is proposed in this paper. One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation ∂u/∂t=Δβ(u), where β is a nonlinear continuous function of the form β(u)=λum, 0<m<1. With respect to standard 2D Gaussian smoothing and some nonlinear PDE-based filters, this one is more efficient to remove noise from degraded images and also to reduce “staircasing” effects and preserve the image edges. |
| format | Article |
| id | doaj-art-bc17db81ab134f14b746be04d8017e5a |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bc17db81ab134f14b746be04d8017e5a2025-08-20T03:22:53ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/856876856876Variational Image Denoising Approach with Diffusion Porous Media FlowTudor Barbu0Institute of Computer Science, The Romanian Academy, 700481 Iasi, RomaniaA novel PDE-based image denoising approach is proposed in this paper. One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation ∂u/∂t=Δβ(u), where β is a nonlinear continuous function of the form β(u)=λum, 0<m<1. With respect to standard 2D Gaussian smoothing and some nonlinear PDE-based filters, this one is more efficient to remove noise from degraded images and also to reduce “staircasing” effects and preserve the image edges.http://dx.doi.org/10.1155/2013/856876 |
| spellingShingle | Tudor Barbu Variational Image Denoising Approach with Diffusion Porous Media Flow Abstract and Applied Analysis |
| title | Variational Image Denoising Approach with Diffusion Porous Media Flow |
| title_full | Variational Image Denoising Approach with Diffusion Porous Media Flow |
| title_fullStr | Variational Image Denoising Approach with Diffusion Porous Media Flow |
| title_full_unstemmed | Variational Image Denoising Approach with Diffusion Porous Media Flow |
| title_short | Variational Image Denoising Approach with Diffusion Porous Media Flow |
| title_sort | variational image denoising approach with diffusion porous media flow |
| url | http://dx.doi.org/10.1155/2013/856876 |
| work_keys_str_mv | AT tudorbarbu variationalimagedenoisingapproachwithdiffusionporousmediaflow |