caa a22 4500 606199330 CHVBK 20210128100938.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s11045-013-0260-5 doi (NATIONALLICENCE)springer-10.1007/s11045-013-0260-5 Image decomposition combining a total variational filter and a Tikhonov quadratic filter [Elektronische Daten] [Yan Hao, Jianlou Xu, Jian Bai, Yu Han] In this paper, we propose a new variational model for image decomposition which separates an image into a cartoon, consisting only of geometric objects and an oscillatory component, consisting of texture or noise. In the new model, the $$\hbox {H}^{-1}$$ H - 1 -norm is considered as the data fitting term and the regularization term is composed of a total variational filter and a Tikhonov quadratic filter. These two filters can be automatically selected by a soft threshold function. When the pixels belong to the cartoon area, the total variational filter is adopted, which can preserve the geometric structures of image such as the edges, well. When the pixels belong to texture region, the Tikhonov quadratic filter is chosen,which can extract the texture of image well. To solve the proposed model effectively, the split Bregman method is employed. Experimental results demonstrate that the proposed model and algorithm can obtain better decomposition results than those of classical models. Springer Science+Business Media New York, 2013 Total variation nationallicence Image decomposition nationallicence Split Bregman nationallicence Image denoising nationallicence Hao Yan School of Mathematics and Statistics, Henan University of Science and Technology, 471023, Luoyang, Henan, China aut Xu Jianlou School of Mathematics and Statistics, Henan University of Science and Technology, 471023, Luoyang, Henan, China aut Bai Jian School of Sciences, Xidian University, 710071, Xi'an, Shaanxi, China aut Han Yu College of Mathematic and Computational Science, Shenzhen University, 518060, Shenzhen, Guangdong, China aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/3(2015-07-01), 739-751 0923-6082 26:3<739 2015 26 11045 https://doi.org/10.1007/s11045-013-0260-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-013-0260-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hao Yan School of Mathematics and Statistics, Henan University of Science and Technology, 471023, Luoyang, Henan, China aut NATIONALLICENCE 700 1- Xu Jianlou School of Mathematics and Statistics, Henan University of Science and Technology, 471023, Luoyang, Henan, China aut NATIONALLICENCE 700 1- Bai Jian School of Sciences, Xidian University, 710071, Xi'an, Shaanxi, China aut NATIONALLICENCE 700 1- Han Yu College of Mathematic and Computational Science, Shenzhen University, 518060, Shenzhen, Guangdong, China aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/3(2015-07-01), 739-751 0923-6082 26:3<739 2015 26 11045