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| An Image Denoising Method Using Total Variation Regularization for Flow Field |
| Lu Cheng-wu①②; Song Guo-xiang① |
| ①School of science, Xidian University, Xi’an 710071, China;②Dept. of Mathematics and Computer Sciences, Chongqing University of arts and sciences,Chongqing 402160, China |
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Abstract Using image decomposition theory proposed by Meyer, a total variation image denoising method based on smoothing flow field is presented. Firstly, through applying Hilbert-Sobolev norm to measure fidelity term, a total variation filter is used to smooth the normal vectors of the level curves of a noise image. And then, a model is constructed to find a surface which fit smoothed normal vectors. Finally, finite difference schemes are used to solve the Euler-Lagrange functions derived from above models. The experiments show that the approach not only can remove noisy efficiently, but also can retain edges and texture.
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Received: 25 June 2007
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2009, Vol. 31 
