caa a22 4500 606199195 CHVBK 20210128100937.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s11045-013-0255-2 doi (NATIONALLICENCE)springer-10.1007/s11045-013-0255-2 Image denoising by generalized total variation regularization and least squares fidelity [Elektronische Daten] [Jie Yan, Wu-Sheng Lu] Inspired by the ability of $$\ell _p$$ ℓ p -regularized algorithms and the close connection of total variation (TV) to the $$\ell _1$$ ℓ 1 norm, a $$p$$ p th-power type TV denoted as TV $$_p$$ p is proposed for $$0\le p \le 1$$ 0 ≤ p ≤ 1 . The TV $$_p$$ p -regularized problem for image denoising is nonconvex thus difficult to tackle directly. Instead, we deal with the problem by proposing a weighted TV (WTV) minimization where the weights are updated iteratively to locally approximate the TV $$_p$$ p -regularized problem. The difficulty of WTV minimization is dealt with in a modified split Bregman framework. Numerical results are presented to demonstrate improved denoising performance of the new algorithm with $$p<1$$ p < 1 relative to that obtained by the standard TV minimization and several recent denoising methods from the literature on a variety of images. Springer Science+Business Media New York, 2013 TV nationallicence WTV nationallicence Image denoising nationallicence Yan Jie Department of Electrical and Computer Engineering, University of Victoria, 3800 Finnerty Rd., V8P 5C2, Victoria, BC, Canada aut Lu Wu-Sheng Department of Electrical and Computer Engineering, University of Victoria, 3800 Finnerty Rd., V8P 5C2, Victoria, BC, Canada aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/1(2015-01-01), 243-266 0923-6082 26:1<243 2015 26 11045 https://doi.org/10.1007/s11045-013-0255-2 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/s11045-013-0255-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yan Jie Department of Electrical and Computer Engineering, University of Victoria, 3800 Finnerty Rd., V8P 5C2, Victoria, BC, Canada aut NATIONALLICENCE 700 1- Lu Wu-Sheng Department of Electrical and Computer Engineering, University of Victoria, 3800 Finnerty Rd., V8P 5C2, Victoria, BC, Canada aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/1(2015-01-01), 243-266 0923-6082 26:1<243 2015 26 11045