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
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.
卢成武; 宋国乡. 一种全变差正则化流场的图像抑噪方法[J]. 电子与信息学报, 2009, 31(1): 112-115 .
Lu Cheng-wu①②; Song Guo-xiang①. An Image Denoising Method Using Total Variation Regularization for Flow Field. , 2009, 31(1): 112-115 .