A fast algorithm for vectorial TV-based image restoration
F. Dong 1, J. Yang 1, C. Liu 11 Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China.
Received by the editors August 8, 2009 and, in revised form, April 23, 2010.
In this paper, we first extend a simple algorithm proposed by Jia et al.  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, 49M30
Key words: Image restoration, vectorial TV model, split Bregman iteration, color denoising, CB based colorization, TV-based inpainting.
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