Wavelets and partial differential equations for image denoising
In this paper a wavelet based model for image de-noising is presented. Wavelet coefficients are modelled as waves that grow while dilating along scales. The model establishes a precise link between corresponding modulus maxima in the wavelet domain and then allows to predict wavelet coefficients at...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Computer Vision Center Press
2007-02-01
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| Series: | ELCVIA Electronic Letters on Computer Vision and Image Analysis |
| Subjects: | |
| Online Access: | https://elcvia.cvc.uab.es/article/view/147 |
| _version_ | 1819115694565883904 |
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| author | Vittoria Bruni Benedetto Piccoli Domenico Vitulano |
| author_facet | Vittoria Bruni Benedetto Piccoli Domenico Vitulano |
| author_sort | Vittoria Bruni |
| collection | DOAJ |
| description | In this paper a wavelet based model for image de-noising is presented. Wavelet coefficients are modelled as waves that grow while dilating along scales. The model establishes a precise link between corresponding modulus maxima in the wavelet domain and then allows to predict wavelet coefficients at each scale from the first one. This property combined with the theoretical results about the characterization of singularities in the wavelet domain enables to discard noise. Significant structures of the image are well recovered while some annoying artifacts along image edges are reduced. Some experimental results show that the proposed approach outperforms the most recent and effective wavelet based denoising schemes. |
| first_indexed | 2024-12-22T05:05:16Z |
| format | Article |
| id | doaj.art-19a03d6fa3c9421badec84119de807ef |
| institution | Directory Open Access Journal |
| issn | 1577-5097 |
| language | English |
| last_indexed | 2024-12-22T05:05:16Z |
| publishDate | 2007-02-01 |
| publisher | Computer Vision Center Press |
| record_format | Article |
| series | ELCVIA Electronic Letters on Computer Vision and Image Analysis |
| spelling | doaj.art-19a03d6fa3c9421badec84119de807ef2022-12-21T18:38:08ZengComputer Vision Center PressELCVIA Electronic Letters on Computer Vision and Image Analysis1577-50972007-02-016210.5565/rev/elcvia.147117Wavelets and partial differential equations for image denoisingVittoria BruniBenedetto PiccoliDomenico VitulanoIn this paper a wavelet based model for image de-noising is presented. Wavelet coefficients are modelled as waves that grow while dilating along scales. The model establishes a precise link between corresponding modulus maxima in the wavelet domain and then allows to predict wavelet coefficients at each scale from the first one. This property combined with the theoretical results about the characterization of singularities in the wavelet domain enables to discard noise. Significant structures of the image are well recovered while some annoying artifacts along image edges are reduced. Some experimental results show that the proposed approach outperforms the most recent and effective wavelet based denoising schemes.https://elcvia.cvc.uab.es/article/view/147Image restorationwaveletsscale space analysis |
| spellingShingle | Vittoria Bruni Benedetto Piccoli Domenico Vitulano Wavelets and partial differential equations for image denoising ELCVIA Electronic Letters on Computer Vision and Image Analysis Image restoration wavelets scale space analysis |
| title | Wavelets and partial differential equations for image denoising |
| title_full | Wavelets and partial differential equations for image denoising |
| title_fullStr | Wavelets and partial differential equations for image denoising |
| title_full_unstemmed | Wavelets and partial differential equations for image denoising |
| title_short | Wavelets and partial differential equations for image denoising |
| title_sort | wavelets and partial differential equations for image denoising |
| topic | Image restoration wavelets scale space analysis |
| url | https://elcvia.cvc.uab.es/article/view/147 |
| work_keys_str_mv | AT vittoriabruni waveletsandpartialdifferentialequationsforimagedenoising AT benedettopiccoli waveletsandpartialdifferentialequationsforimagedenoising AT domenicovitulano waveletsandpartialdifferentialequationsforimagedenoising |