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Volume 7, Issue 4
A Fast Algorithm for Vectorial TV-Based Image Restoration

F. Dong, J. Yang & C. Liu

Int. J. Numer. Anal. Mod., 7 (2010), pp. 700-717.

Published online: 2010-07

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  • Abstract

In this paper, we first extend a simple algorithm proposed by Jia et al. [16] to color/vectorial images, and then apply the vectorial algorithm to some variational models for image restoration problems including color image denoisings with the red-green-blue (RGB) and chromaticity-brightness (CB) color representations, CB based colorization and image inpainting. The variational models are all total variation (TV)-based. The proposed vectorial algorithm is simple and straightforward to implement. Some numerical experiments show that it is fast and efficient.

  • Keywords

Image restoration, vectorial TV model, split Bregman iteration, color denoising, CB based colorization, TV-based inpainting.

  • AMS Subject Headings

65K10, 68U10, 49M30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-700, author = {F. Dong, J. Yang and C. Liu}, title = {A Fast Algorithm for Vectorial TV-Based Image Restoration}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {4}, pages = {700--717}, abstract = {

In this paper, we first extend a simple algorithm proposed by Jia et al. [16] to color/vectorial images, and then apply the vectorial algorithm to some variational models for image restoration problems including color image denoisings with the red-green-blue (RGB) and chromaticity-brightness (CB) color representations, CB based colorization and image inpainting. The variational models are all total variation (TV)-based. The proposed vectorial algorithm is simple and straightforward to implement. Some numerical experiments show that it is fast and efficient.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/747.html} }
TY - JOUR T1 - A Fast Algorithm for Vectorial TV-Based Image Restoration AU - F. Dong, J. Yang & C. Liu JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 700 EP - 717 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/747.html KW - Image restoration, vectorial TV model, split Bregman iteration, color denoising, CB based colorization, TV-based inpainting. AB -

In this paper, we first extend a simple algorithm proposed by Jia et al. [16] to color/vectorial images, and then apply the vectorial algorithm to some variational models for image restoration problems including color image denoisings with the red-green-blue (RGB) and chromaticity-brightness (CB) color representations, CB based colorization and image inpainting. The variational models are all total variation (TV)-based. The proposed vectorial algorithm is simple and straightforward to implement. Some numerical experiments show that it is fast and efficient.

F. Dong, J. Yang and C. Liu. (2010). A Fast Algorithm for Vectorial TV-Based Image Restoration. International Journal of Numerical Analysis and Modeling. 7 (4). 700-717. doi:
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