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Int. J. Numer. Anal. Mod., 7 (2010), pp. 700-717. |
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A fast algorithm for vectorial TV-based image restoration F. Dong 1, J. Yang 1, C. Liu 1 1 Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China.Received by the editors August 8, 2009 and, in revised form, April 23, 2010. 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. AMS subject classifications: 65K10, 68U10, 49M30Key words: Image restoration, vectorial TV model, split Bregman iteration, color denoising, CB based colorization, TV-based inpainting. Email: fangdong06@gmail.com, yjianbin@gmail.com, xxliu198431@126.com |