Iglesias, José A.; Mercier, Gwenael Convergence of level sets in total variation denoising through variational curvatures in unbounded domains. (English) Zbl 07332076 SIAM J. Math. Anal. 53, No. 2, 1509-1545 (2021). MSC: 49Q20 53A10 68U10 49Q05 PDF BibTeX XML Cite \textit{J. A. Iglesias} and \textit{G. Mercier}, SIAM J. Math. Anal. 53, No. 2, 1509--1545 (2021; Zbl 07332076) Full Text: DOI
Gribonval, Rémi; Nikolova, Mila On Bayesian estimation and proximity operators. (English) Zbl 07328394 Appl. Comput. Harmon. Anal. 50, 49-72 (2021). MSC: 62F15 62H35 60H40 60G35 94A12 90C90 PDF BibTeX XML Cite \textit{R. Gribonval} and \textit{M. Nikolova}, Appl. Comput. Harmon. Anal. 50, 49--72 (2021; Zbl 07328394) Full Text: DOI
Belz, Sandro; Bredies, Kristian Approximation of the Mumford-Shah functional by phase fields of bounded variation. (English) Zbl 07327542 Anal. Appl., Singap. 19, No. 2, 183-217 (2021). MSC: 49J45 26A45 68U10 PDF BibTeX XML Cite \textit{S. Belz} and \textit{K. Bredies}, Anal. Appl., Singap. 19, No. 2, 183--217 (2021; Zbl 07327542) Full Text: DOI
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Algorithmic versatility of SPF-regularization methods. (English) Zbl 07327477 Anal. Appl., Singap. 19, No. 1, 43-69 (2021). MSC: 68U10 90C26 94A08 PDF BibTeX XML Cite \textit{L. Shen} et al., Anal. Appl., Singap. 19, No. 1, 43--69 (2021; Zbl 07327477) Full Text: DOI
Chen, Yong; He, Taoshun Image denoising via an adaptive weighted anisotropic diffusion. (English) Zbl 07326880 Multidimensional Syst. Signal Process. 32, No. 2, 651-669 (2021). MSC: 94 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{T. He}, Multidimensional Syst. Signal Process. 32, No. 2, 651--669 (2021; Zbl 07326880) Full Text: DOI
Bao, Zhigang; Ding, Xiucai; Wang, Ke Singular vector and singular subspace distribution for the matrix denoising model. (English) Zbl 07319869 Ann. Stat. 49, No. 1, 370-392 (2021). MSC: 60B20 15B52 62G10 62H10 15B52 62H25 PDF BibTeX XML Cite \textit{Z. Bao} et al., Ann. Stat. 49, No. 1, 370--392 (2021; Zbl 07319869) Full Text: DOI Euclid
Kang, Sung Ha; Liao, Wenjing; Liu, Yingjie IDENT: identifying differential equations with numerical time evolution. (English) Zbl 07316875 J. Sci. Comput. 87, No. 1, Paper No. 1, 27 p. (2021). MSC: 35 65K 49 PDF BibTeX XML Cite \textit{S. H. Kang} et al., J. Sci. Comput. 87, No. 1, Paper No. 1, 27 p. (2021; Zbl 07316875) Full Text: DOI
Fairag, Faisal; Chen, Ke; Ahmad, Shahbaz Analysis of the CCFD method for MC-based image denoising problems. (English) Zbl 07311976 ETNA, Electron. Trans. Numer. Anal. 54, 108-127 (2021). MSC: 68U10 94A08 65N06 65N12 PDF BibTeX XML Cite \textit{F. Fairag} et al., ETNA, Electron. Trans. Numer. Anal. 54, 108--127 (2021; Zbl 07311976) Full Text: DOI Link
de Loynes, Basile; Navarro, Fabien; Olivier, Baptiste Data-driven thresholding in denoising with spectral graph wavelet transform. (English) Zbl 07309593 J. Comput. Appl. Math. 389, Article ID 113319, 13 p. (2021). MSC: 94A12 05C50 42C40 PDF BibTeX XML Cite \textit{B. de Loynes} et al., J. Comput. Appl. Math. 389, Article ID 113319, 13 p. (2021; Zbl 07309593) Full Text: DOI
Sreekala, K.; Kumar, H. C. Sateesh; Raja, K. B. Low light image denoising solution with contrast enhancement in curvelet domain using Gaussian mixture adaptation model. (English) Zbl 07308342 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 1, Article ID 2050054, 17 p. (2021). MSC: 68U10 94A08 PDF BibTeX XML Cite \textit{K. Sreekala} et al., Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 1, Article ID 2050054, 17 p. (2021; Zbl 07308342) Full Text: DOI
Alkhidhr, Hanan; Jiang, Qingtang Correspondence between multiwavelet shrinkage and nonlinear diffusion. (English) Zbl 07241404 J. Comput. Appl. Math. 382, Article ID 113074, 16 p. (2021). MSC: 94A12 42C40 68T45 PDF BibTeX XML Cite \textit{H. Alkhidhr} and \textit{Q. Jiang}, J. Comput. Appl. Math. 382, Article ID 113074, 16 p. (2021; Zbl 07241404) Full Text: DOI
Ortelli, Francesco; van de Geer, Sara Adaptive rates for total variation image denoising. (English) Zbl 07306926 J. Mach. Learn. Res. 21, Paper No. 247, 38 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{F. Ortelli} and \textit{S. van de Geer}, J. Mach. Learn. Res. 21, Paper No. 247, 38 p. (2020; Zbl 07306926) Full Text: Link
Chung, Szu-Chi; Wang, Shao-Hsuan; Niu, Po-Yao; Huang, Su-Yun; Chang, Wei-Hau; Tu, I-Ping Two-stage dimension reduction for noisy high-dimensional images and application to cryogenic electron microscopy. (English) Zbl 07296441 Ann. Math. Sci. Appl. 5, No. 2, 283-316 (2020). MSC: 62P30 62P35 62H25 62H35 62M40 62B10 94A08 PDF BibTeX XML Cite \textit{S.-C. Chung} et al., Ann. Math. Sci. Appl. 5, No. 2, 283--316 (2020; Zbl 07296441) Full Text: DOI
Zhou, Caijin; Chen, Falai EMD algorithm of geometric models and its applications based on tensor product B-spline. (Chinese. English summary) Zbl 07295851 J. Syst. Sci. Math. Sci. 40, No. 6, 941-953 (2020). MSC: 65D17 68U07 PDF BibTeX XML Cite \textit{C. Zhou} and \textit{F. Chen}, J. Syst. Sci. Math. Sci. 40, No. 6, 941--953 (2020; Zbl 07295851)
Lei, Ya; Fang, Yong; Zhang, Liming Research on compression and denoising of speech signal based on the Takenaka-Malmquist system. (Chinese. English summary) Zbl 07295661 J. Shanghai Univ., Nat. Sci. 26, No. 1, 33-46 (2020). MSC: 94A12 PDF BibTeX XML Cite \textit{Y. Lei} et al., J. Shanghai Univ., Nat. Sci. 26, No. 1, 33--46 (2020; Zbl 07295661) Full Text: DOI
Ma, Qianting Image denoising via time-delay regularization coupled nonlinear diffusion equations. (English) Zbl 07295199 J. Comput. Math. 38, No. 3, 417-436 (2020). MSC: 94A08 35K57 35K55 PDF BibTeX XML Cite \textit{Q. Ma}, J. Comput. Math. 38, No. 3, 417--436 (2020; Zbl 07295199) Full Text: DOI
Agarwal, Divyansh; Wang, Jingshu; Zhang, Nancy R. Data denoising and post-denoising corrections in single cell RNA sequencing. (English) Zbl 07292499 Stat. Sci. 35, No. 1, 112-128 (2020). MSC: 62 PDF BibTeX XML Cite \textit{D. Agarwal} et al., Stat. Sci. 35, No. 1, 112--128 (2020; Zbl 07292499) Full Text: DOI Euclid
Parisotto, Simone; Lellmann, Jan; Masnou, Simon; Schönlieb, Carola-Bibiane Higher-order total directional variation: imaging applications. (English) Zbl 07292249 SIAM J. Imaging Sci. 13, No. 4, 2063-2104 (2020). MSC: 47A52 49M30 49N45 65J22 94A08 PDF BibTeX XML Cite \textit{S. Parisotto} et al., SIAM J. Imaging Sci. 13, No. 4, 2063--2104 (2020; Zbl 07292249) Full Text: DOI
Perelli, Alessandro; Lexa, Michael; Can, Ali; Davies, Mike E. Compressive computed tomography reconstruction through denoising approximate message passing. (English) Zbl 07292244 SIAM J. Imaging Sci. 13, No. 4, 1860-1897 (2020). MSC: 47A52 49M30 65J22 94A08 PDF BibTeX XML Cite \textit{A. Perelli} et al., SIAM J. Imaging Sci. 13, No. 4, 1860--1897 (2020; Zbl 07292244) Full Text: DOI
Rotker, Keren; Ben Bashat, Dafna; Bronstein, Alex M. Overparameterized models for vector fields. (English) Zbl 07292229 SIAM J. Imaging Sci. 13, No. 3, 1386-1414 (2020). MSC: 47N10 35A15 49N45 68U10 17B66 37C10 46N10 PDF BibTeX XML Cite \textit{K. Rotker} et al., SIAM J. Imaging Sci. 13, No. 3, 1386--1414 (2020; Zbl 07292229) Full Text: DOI
Sober, Barak; Levin, David Manifold approximation by moving least-squares projection (MMLS). (English) Zbl 1455.65042 Constr. Approx. 52, No. 3, 433-478 (2020). MSC: 65D99 41A46 65F55 PDF BibTeX XML Cite \textit{B. Sober} and \textit{D. Levin}, Constr. Approx. 52, No. 3, 433--478 (2020; Zbl 1455.65042) Full Text: DOI
La Torre, Davide; Marcoux, J.; Mendivil, Franklin; Vrscay, E. R. Denoising of diffusion magnetic resonance images using a modified and differentiable Monge-Kantorovich distance for measure-valued functions. (English) Zbl 07281827 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105456, 9 p. (2020). MSC: 94A08 92C55 90C08 PDF BibTeX XML Cite \textit{D. La Torre} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105456, 9 p. (2020; Zbl 07281827) Full Text: DOI
Ma, Qian; Lee, Wang-Chien; Fu, Tao-Yang; Gu, Yu; Yu, Ge MIDIA: exploring denoising autoencoders for missing data imputation. (English) Zbl 1455.68191 Data Min. Knowl. Discov. 34, No. 6, 1859-1897 (2020). MSC: 68T07 62D10 PDF BibTeX XML Cite \textit{Q. Ma} et al., Data Min. Knowl. Discov. 34, No. 6, 1859--1897 (2020; Zbl 1455.68191) Full Text: DOI
Shi, Kehan; Dong, Gang; Guo, Zhichang Cauchy noise removal by nonlinear diffusion equations. (English) Zbl 07276329 Comput. Math. Appl. 80, No. 9, 2090-2103 (2020). MSC: 68 49 PDF BibTeX XML Cite \textit{K. Shi} et al., Comput. Math. Appl. 80, No. 9, 2090--2103 (2020; Zbl 07276329) Full Text: DOI
Sportisse, Aude; Boyer, Claire; Josse, Julie Imputation and low-rank estimation with missing not at random data. (English) Zbl 1452.62174 Stat. Comput. 30, No. 6, 1629-1643 (2020). MSC: 62D10 62H12 62P10 PDF BibTeX XML Cite \textit{A. Sportisse} et al., Stat. Comput. 30, No. 6, 1629--1643 (2020; Zbl 1452.62174) Full Text: DOI
Hu, Liliang; Fang, Changjie The inertial Uzawa methods for convex optimization. (Chinese. English summary) Zbl 07267094 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 350-356 (2020). MSC: 90C25 PDF BibTeX XML Cite \textit{L. Hu} and \textit{C. Fang}, J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 350--356 (2020; Zbl 07267094) Full Text: DOI
Du, Miaoyong; Shi, Yao; Zhou, Hao; Han, Danfu Image denoising algorithm based on partial differential equation and machine learning. (Chinese. English summary) Zbl 07266780 J. Hangzhou Norm. Univ., Nat. Sci. 19, No. 2, 215-219 (2020). MSC: 68U10 68T05 PDF BibTeX XML Cite \textit{M. Du} et al., J. Hangzhou Norm. Univ., Nat. Sci. 19, No. 2, 215--219 (2020; Zbl 07266780) Full Text: DOI
Selesnick, Ivan; Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella Non-convex total variation regularization for convex denoising of signals. (English) Zbl 07255776 J. Math. Imaging Vis. 62, No. 6-7, 825-841 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{I. Selesnick} et al., J. Math. Imaging Vis. 62, No. 6--7, 825--841 (2020; Zbl 07255776) Full Text: DOI
Chan, Raymond H.; Kan, Kelvin K.; Nikolova, Mila; Plemmons, Robert J. A two-stage method for spectral-spatial classification of hyperspectral images. (English) Zbl 07255774 J. Math. Imaging Vis. 62, No. 6-7, 790-807 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{R. H. Chan} et al., J. Math. Imaging Vis. 62, No. 6--7, 790--807 (2020; Zbl 07255774) Full Text: DOI
Probst, Malte; Rothlauf, Franz Harmless overfitting: using denoising autoencoders in estimation of distribution algorithms. (English) Zbl 07255109 J. Mach. Learn. Res. 21, Paper No. 78, 31 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{M. Probst} and \textit{F. Rothlauf}, J. Mach. Learn. Res. 21, Paper No. 78, 31 p. (2020; Zbl 07255109) Full Text: Link
Wong, Wing Hong; Lou, Yifei; Marchesini, Stefano; Zeng, Tieyong One-dimensional phase retrieval: regularization, box relaxation and uniqueness. (English) Zbl 1450.78005 Inverse Probl. 36, No. 9, Article ID 095004, 21 p. (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 78M20 PDF BibTeX XML Cite \textit{W. H. Wong} et al., Inverse Probl. 36, No. 9, Article ID 095004, 21 p. (2020; Zbl 1450.78005) Full Text: DOI
Chen, Bo; Lv, Yan; Zou, Jinbin; Chen, Wensheng; Pan, Binbin A novel Speckle noise removal algorithm based on ADMM and energy minimization method. (English) Zbl 07247673 J. Funct. Spaces 2020, Article ID 3416958, 17 p. (2020). MSC: 94A08 92C55 PDF BibTeX XML Cite \textit{B. Chen} et al., J. Funct. Spaces 2020, Article ID 3416958, 17 p. (2020; Zbl 07247673) Full Text: DOI
Liu, Qing Large exponent behavior for power-type nonlinear evolution equations and applications. (English) Zbl 1447.35207 J. Evol. Equ. 20, No. 3, 777-810 (2020). MSC: 35K93 35D40 35B40 PDF BibTeX XML Cite \textit{Q. Liu}, J. Evol. Equ. 20, No. 3, 777--810 (2020; Zbl 1447.35207) Full Text: DOI
Li, Peng; Chen, Wengu; Ng, Michael K. Compressive total variation for image reconstruction and restoration. (English) Zbl 1446.94008 Comput. Math. Appl. 80, No. 5, 874-893 (2020). MSC: 94A08 PDF BibTeX XML Cite \textit{P. Li} et al., Comput. Math. Appl. 80, No. 5, 874--893 (2020; Zbl 1446.94008) Full Text: DOI
Fathi, Mojtaba F.; Baghaie, Ahmadreza; Bakhshinejad, Ali; Sacho, Raphael H.; D’Souza, Roshan M. Time-resolved denoising using model order reduction, dynamic mode decomposition, and Kalman filter and smoother. (English) Zbl 1448.37112 J. Comput. Dyn. 7, No. 2, 469-487 (2020). MSC: 37M99 65T60 68U01 PDF BibTeX XML Cite \textit{M. F. Fathi} et al., J. Comput. Dyn. 7, No. 2, 469--487 (2020; Zbl 1448.37112) Full Text: DOI
Lv, Yehu; Liu, Xinwei Box constrained total generalized variation model and primal-dual algorithm for Poisson noise removal. (English) Zbl 07239243 J. Pseudo-Differ. Oper. Appl. 11, No. 3, 1421-1444 (2020). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 94A08 49J10 49M25 49M29 65R32 PDF BibTeX XML Cite \textit{Y. Lv} and \textit{X. Liu}, J. Pseudo-Differ. Oper. Appl. 11, No. 3, 1421--1444 (2020; Zbl 07239243) Full Text: DOI
Kim, Kyong-Il; Bahng, Soon-Ic; Choe, Ryong-Nam Despeckling method of ultrasound images using closed-form shrinkage function based on Cauchy distribution in wavelet domain. (English) Zbl 1456.94007 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 4, Article ID 2050026, 25 p. (2020). Reviewer: Yankui Sun (Beijing) MSC: 94A08 42C40 62J07 65T60 PDF BibTeX XML Cite \textit{K.-I. Kim} et al., Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 4, Article ID 2050026, 25 p. (2020; Zbl 1456.94007) Full Text: DOI
Verma, Rajiv; Pandey, Rajoo Characterization of local regions for wavelet-based image denoising using a statistical approach. (English) Zbl 07237347 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 3, Article ID 2050011, 25 p. (2020). MSC: 94A08 94A12 42C40 65T60 93E11 62N02 PDF BibTeX XML Cite \textit{R. Verma} and \textit{R. Pandey}, Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 3, Article ID 2050011, 25 p. (2020; Zbl 07237347) Full Text: DOI
Saeedzarandi, Mansoore; Nezamabadi-pour, Hossein; Jamalizadeh, Ahad Dual-tree complex wavelet coefficient magnitude modeling using scale mixtures of Rayleigh distribution for image denoising. (English) Zbl 1452.94008 Circuits Syst. Signal Process. 39, No. 6, 2968-2993 (2020). MSC: 94A08 65T60 PDF BibTeX XML Cite \textit{M. Saeedzarandi} et al., Circuits Syst. Signal Process. 39, No. 6, 2968--2993 (2020; Zbl 1452.94008) Full Text: DOI
Zhu, Wei Image denoising using \(L^p\)-norm of mean curvature of image surface. (English) Zbl 07207934 J. Sci. Comput. 83, No. 2, Paper No. 32, 26 p. (2020). MSC: 94A08 65K10 68U10 PDF BibTeX XML Cite \textit{W. Zhu}, J. Sci. Comput. 83, No. 2, Paper No. 32, 26 p. (2020; Zbl 07207934) Full Text: DOI
Baravdish, George; Cheng, Yuanji; Svensson, Olof; Åström, Freddie Generalizations of \(p\)-Laplace operator for image enhancement. II. (English) Zbl 1448.35295 Commun. Pure Appl. Anal. 19, No. 7, 3477-3500 (2020). MSC: 35K55 35D40 35J92 35Q94 35R30 94A08 PDF BibTeX XML Cite \textit{G. Baravdish} et al., Commun. Pure Appl. Anal. 19, No. 7, 3477--3500 (2020; Zbl 1448.35295) Full Text: DOI
Storath, Martin; Weinmann, Andreas Wavelet sparse regularization for manifold-valued data. (English) Zbl 07205782 Multiscale Model. Simul. 18, No. 2, 674-706 (2020). MSC: 94A08 42C40 90C90 65T60 53B99 53C35 65K10 PDF BibTeX XML Cite \textit{M. Storath} and \textit{A. Weinmann}, Multiscale Model. Simul. 18, No. 2, 674--706 (2020; Zbl 07205782) Full Text: DOI
Osting, Braxton; Wang, Dong Diffusion generated methods for denoising target-valued images. (English) Zbl 1437.65126 Inverse Probl. Imaging 14, No. 2, 205-232 (2020). MSC: 65M32 65M12 65K10 65D18 35K05 49Q99 35R09 35R60 35Q79 PDF BibTeX XML Cite \textit{B. Osting} and \textit{D. Wang}, Inverse Probl. Imaging 14, No. 2, 205--232 (2020; Zbl 1437.65126) Full Text: DOI
Jin, Qiyu; Bai, Li; Grama, Ion; Liu, Quansheng; Yang, Jie Removing random-valued impulse noise with reliable weight. (English) Zbl 1439.62158 Inverse Probl. Imaging 14, No. 2, 171-203 (2020). MSC: 62H35 62M20 PDF BibTeX XML Cite \textit{Q. Jin} et al., Inverse Probl. Imaging 14, No. 2, 171--203 (2020; Zbl 1439.62158) Full Text: DOI
Dupé, François-Xavier; Anthoine, Sandrine Generalized greedy alternatives. (English) Zbl 07193968 Appl. Comput. Harmon. Anal. 49, No. 1, 1-29 (2020). MSC: 65 47 PDF BibTeX XML Cite \textit{F.-X. Dupé} and \textit{S. Anthoine}, Appl. Comput. Harmon. Anal. 49, No. 1, 1--29 (2020; Zbl 07193968) Full Text: DOI
Lv, Yehu Shearlet-TGV based model for restoring noisy images corrupted by Cauchy noise. (English) Zbl 1437.49014 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 21, 23 p. (2020). MSC: 49J35 49N15 PDF BibTeX XML Cite \textit{Y. Lv}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 21, 23 p. (2020; Zbl 1437.49014) Full Text: DOI
Barbeiro, Sílvia; Lobo, Diogo Learning stable nonlinear cross-diffusion models for image restoration. (English) Zbl 1439.65025 J. Math. Imaging Vis. 62, No. 2, 223-237 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 65K05 65M06 65M12 68T07 94-10 PDF BibTeX XML Cite \textit{S. Barbeiro} and \textit{D. Lobo}, J. Math. Imaging Vis. 62, No. 2, 223--237 (2020; Zbl 1439.65025) Full Text: DOI
Benyamin, Minas; Calder, Jeff; Sundaramoorthi, Ganesh; Yezzi, Anthony Accelerated variational PDEs for efficient solution of regularized inversion problems. (English) Zbl 1440.65124 J. Math. Imaging Vis. 62, No. 1, 10-36 (2020). MSC: 65M32 65M06 65K10 35Q94 94A08 35B65 65B99 PDF BibTeX XML Cite \textit{M. Benyamin} et al., J. Math. Imaging Vis. 62, No. 1, 10--36 (2020; Zbl 1440.65124) Full Text: DOI
Ryu, Ernest K.; Ko, Seyoon; Won, Joong-Ho Splitting with near-circulant linear systems: applications to total variation CT and PET. (English) Zbl 1448.92113 SIAM J. Sci. Comput. 42, No. 1, B185-B206 (2020). Reviewer: Fritz Keinert (Ames) MSC: 92C55 90C25 92-08 PDF BibTeX XML Cite \textit{E. K. Ryu} et al., SIAM J. Sci. Comput. 42, No. 1, B185--B206 (2020; Zbl 1448.92113) Full Text: DOI Link Link
Afraites, L.; Hadri, A.; Laghrib, A. A denoising model adapted for impulse and Gaussian noises using a constrained-PDE. (English) Zbl 07161822 Inverse Probl. 36, No. 2, Article ID 025006, 40 p. (2020). MSC: 49Q 94A 58E PDF BibTeX XML Cite \textit{L. Afraites} et al., Inverse Probl. 36, No. 2, Article ID 025006, 40 p. (2020; Zbl 07161822) Full Text: DOI
Ding, Xiucai High dimensional deformed rectangular matrices with applications in matrix denoising. (English) Zbl 1439.15013 Bernoulli 26, No. 1, 387-417 (2020). MSC: 15B52 60B20 94A12 PDF BibTeX XML Cite \textit{X. Ding}, Bernoulli 26, No. 1, 387--417 (2020; Zbl 1439.15013) Full Text: DOI Euclid arXiv
Karami, Fahd; Meskine, Driss; Sadik, Khadija A new nonlocal model for the restoration of textured images. (English) Zbl 07334313 J. Appl. Anal. Comput. 9, No. 6, 2070-2095 (2019). MSC: 68U10 45G10 47H10 PDF BibTeX XML Cite \textit{F. Karami} et al., J. Appl. Anal. Comput. 9, No. 6, 2070--2095 (2019; Zbl 07334313) Full Text: DOI
Xie, Yu; Gong, Maoguo; Qin, A. K.; Tang, Zedong; Fan, Xiaolong TPNE: topology preserving network embedding. (English) Zbl 1453.68144 Inf. Sci. 504, 20-31 (2019). MSC: 68R10 05C82 68T07 PDF BibTeX XML Cite \textit{Y. Xie} et al., Inf. Sci. 504, 20--31 (2019; Zbl 1453.68144) Full Text: DOI
Rudy, Samuel H.; Brunton, Steven L.; Kutz, J. Nathan Smoothing and parameter estimation by soft-adherence to governing equations. (English) Zbl 1453.62399 J. Comput. Phys. 398, Article ID 108860, 13 p. (2019). MSC: 62F10 37M10 34F05 65L06 PDF BibTeX XML Cite \textit{S. H. Rudy} et al., J. Comput. Phys. 398, Article ID 108860, 13 p. (2019; Zbl 1453.62399) Full Text: DOI
Xu, Qiubin Several new numerical methods of ROF model for image denoising. (Chinese. English summary) Zbl 07266312 Acta Math. Appl. Sin. 42, No. 4, 470-481 (2019). MSC: 68U10 65M06 65M55 PDF BibTeX XML Cite \textit{Q. Xu}, Acta Math. Appl. Sin. 42, No. 4, 470--481 (2019; Zbl 07266312)
Zhang, Rui; Feng, Xiangchu; Yang, Lixia; Chang, Lihong; Zhu, Xiaolong A global sparse gradient based coupled system for image denoising. (English) Zbl 1443.65026 Comput. Math. Appl. 78, No. 11, 3692-3711 (2019). MSC: 65D18 94A08 PDF BibTeX XML Cite \textit{R. Zhang} et al., Comput. Math. Appl. 78, No. 11, 3692--3711 (2019; Zbl 1443.65026) Full Text: DOI
Lu, Jian; Yang, Hanmei; Shen, Lixin; Zou, Yuru Ultrasound image restoration based on a learned dictionary and a higher-order MRF. (English) Zbl 1442.92081 Comput. Math. Appl. 77, No. 4, 991-1009 (2019). MSC: 92C55 PDF BibTeX XML Cite \textit{J. Lu} et al., Comput. Math. Appl. 77, No. 4, 991--1009 (2019; Zbl 1442.92081) Full Text: DOI
Zhou, Caijin; Chen, Falai; Tian, Yufeng EMD algorithm of planar models and its applications. (Chinese. English summary) Zbl 1449.94045 J. Syst. Sci. Math. Sci. 39, No. 12, 1909-1924 (2019). MSC: 94A12 PDF BibTeX XML Cite \textit{C. Zhou} et al., J. Syst. Sci. Math. Sci. 39, No. 12, 1909--1924 (2019; Zbl 1449.94045)
Xiao, Miao; Chang, Jun; Pan, Jiahua; Yang, Hongbo; Wang, Weilian A new method of heart sound denoising based on lifting wavelet transform. (Chinese. English summary) Zbl 1449.92022 J. Yunnan Univ., Nat. Sci. 41, No. 6, 1118-1122 (2019). MSC: 92C55 42C40 PDF BibTeX XML Cite \textit{M. Xiao} et al., J. Yunnan Univ., Nat. Sci. 41, No. 6, 1118--1122 (2019; Zbl 1449.92022) Full Text: DOI
Zhang, Tao; Wei, Haiguang; Mo, Xutao Image denoising method with tree-structured group sparse modeling of wavelet coefficients. (English) Zbl 1449.94025 J. Southeast Univ., Engl. Ed. 35, No. 3, 332-340 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{T. Zhang} et al., J. Southeast Univ., Engl. Ed. 35, No. 3, 332--340 (2019; Zbl 1449.94025) Full Text: DOI
Luo, Jun; Liu, Hui; Shang, Zhenhong Double \({l_1}\)-norm optimization image denoising algorithm via group sparse representation. (Chinese. English summary) Zbl 1449.94017 J. Sichuan Univ., Nat. Sci. Ed. 56, No. 6, 1065-1072 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{J. Luo} et al., J. Sichuan Univ., Nat. Sci. Ed. 56, No. 6, 1065--1072 (2019; Zbl 1449.94017) Full Text: DOI
Ma, Dong; Yang, Zheng; Wang, Liling Denoising of sEMG signal based on improved wavelet algorithm. (Chinese. English summary) Zbl 1449.94039 J. Northeast Norm. Univ., Nat. Sci. Ed. 51, No. 3, 77-81 (2019). MSC: 94A12 42C40 PDF BibTeX XML Cite \textit{D. Ma} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 51, No. 3, 77--81 (2019; Zbl 1449.94039) Full Text: DOI
Komander, Birgit Deflectometry and image denoising. (English) Zbl 1434.94002 Göttingen: Cuvillier; Braunschweig: TU Braunschweig (Diss.) (ISBN 978-3-7369-9997-8/pbk; 978-3-7369-8997-9/ebook). vii, 106 p. (2019). MSC: 94-02 PDF BibTeX XML Cite \textit{B. Komander}, Deflectometry and image denoising. Göttingen: Cuvillier; Braunschweig: TU Braunschweig (Diss.) (2019; Zbl 1434.94002)
Knight, Keith A continuous-time iteratively reweighted least squares algorithm for \(L_\infty\) estimation. (English) Zbl 1434.62142 Steland, Ansgar (ed.) et al., Stochastic models, statistics and their applications. Collected papers based on the presentations at the 14th workshop, Dresden, Germany, March 6–8, 2019. Cham: Springer. Springer Proc. Math. Stat. 294, 59-68 (2019). MSC: 62J02 62M10 PDF BibTeX XML Cite \textit{K. Knight}, Springer Proc. Math. Stat. 294, 59--68 (2019; Zbl 1434.62142) Full Text: DOI
Laus, Friederike; Steidl, Gabriele Multivariate myriad filters based on parameter estimation of Student-\(t\) distributions. (English) Zbl 1442.62121 SIAM J. Imaging Sci. 12, No. 4, 1864-1904 (2019). MSC: 62H12 62H35 62F03 62F10 62F35 PDF BibTeX XML Cite \textit{F. Laus} and \textit{G. Steidl}, SIAM J. Imaging Sci. 12, No. 4, 1864--1904 (2019; Zbl 1442.62121) Full Text: DOI
Han, Bin; Mo, Qun; Zhao, Zhenpeng; Zhuang, Xiaosheng Directional compactly supported tensor product complex tight framelets with applications to image denoising and inpainting. (English) Zbl 1434.42044 SIAM J. Imaging Sci. 12, No. 4, 1739-1771 (2019). MSC: 42C15 42B05 42C40 65T60 68U10 68W35 94A08 94A12 PDF BibTeX XML Cite \textit{B. Han} et al., SIAM J. Imaging Sci. 12, No. 4, 1739--1771 (2019; Zbl 1434.42044) Full Text: DOI
Kirisits, Clemens; Scherzer, Otmar; Setterqvist, Eric Invariant \(\varphi \)-minimal sets and total variation denoising on graphs. (English) Zbl 1439.49066 SIAM J. Imaging Sci. 12, No. 4, 1643-1668 (2019). Reviewer: Savin Treanta (Bucharest) MSC: 49N45 68U10 46N10 PDF BibTeX XML Cite \textit{C. Kirisits} et al., SIAM J. Imaging Sci. 12, No. 4, 1643--1668 (2019; Zbl 1439.49066) Full Text: DOI
Bürgel, Florian; Kazimierski, Kamil S.; Lechleiter, Armin Algorithm 1001: IPscatt – a Matlab toolbox for the inverse medium problem in scattering. (English) Zbl 07193394 ACM Trans. Math. Softw. 45, No. 4, Article No. 45, 20 p. (2019). MSC: 65 PDF BibTeX XML Cite \textit{F. Bürgel} et al., ACM Trans. Math. Softw. 45, No. 4, Article No. 45, 20 p. (2019; Zbl 07193394) Full Text: DOI
Lu, Jian; Tian, Jiapeng; Xu, Chen; Zou, Yuru A dictionary learning approach for fractal image coding. (English) Zbl 1433.94015 Fractals 27, No. 2, Article ID 1950020, 14 p. (2019). MSC: 94A08 28A80 PDF BibTeX XML Cite \textit{J. Lu} et al., Fractals 27, No. 2, Article ID 1950020, 14 p. (2019; Zbl 1433.94015) Full Text: DOI
Chen, Guan; Li, Qi-Yue; Li, Dian-Qing; Wu, Zheng-Yu; Liu, Yong Main frequency band of blast vibration signal based on wavelet packet transform. (English) Zbl 07187205 Appl. Math. Modelling 74, 569-585 (2019). MSC: 94 74 PDF BibTeX XML Cite \textit{G. Chen} et al., Appl. Math. Modelling 74, 569--585 (2019; Zbl 07187205) Full Text: DOI
Yuan, Jianjun MRI denoising via sparse tensors with reweighted regularization. (English) Zbl 07186540 Appl. Math. Modelling 69, 552-562 (2019). MSC: 94 68 PDF BibTeX XML Cite \textit{J. Yuan}, Appl. Math. Modelling 69, 552--562 (2019; Zbl 07186540) Full Text: DOI
Zhu, Wei A first-order image denoising model for staircase reduction. (English) Zbl 1434.94018 Adv. Comput. Math. 45, No. 5-6, 3217-3239 (2019). MSC: 94A08 65K10 65M32 PDF BibTeX XML Cite \textit{W. Zhu}, Adv. Comput. Math. 45, No. 5--6, 3217--3239 (2019; Zbl 1434.94018) Full Text: DOI
Yoo, Gene Ryan; Owhadi, Houman De-noising by thresholding operator adapted wavelets. (English) Zbl 1436.62126 Stat. Comput. 29, No. 6, 1185-1201 (2019). MSC: 62G07 62C20 42C40 60-08 PDF BibTeX XML Cite \textit{G. R. Yoo} and \textit{H. Owhadi}, Stat. Comput. 29, No. 6, 1185--1201 (2019; Zbl 1436.62126) Full Text: DOI
Liu, Guangda; Hu, Xinlei; Wang, Enhui; Zhou, Ge; Cai, Jing; Zhang, Shang SVR-EEMD: an improved EEMD method based on support vector regression extension in PPG signal denoising. (English) Zbl 1431.92091 Comput. Math. Methods Med. 2019, Article ID 5363712, 10 p. (2019). MSC: 92C55 PDF BibTeX XML Cite \textit{G. Liu} et al., Comput. Math. Methods Med. 2019, Article ID 5363712, 10 p. (2019; Zbl 1431.92091) Full Text: DOI
Marteau, Pierre-François Times series averaging and denoising from a probabilistic perspective on time-elastic kernels. (English) Zbl 07171632 Int. J. Appl. Math. Comput. Sci. 29, No. 2, 375-392 (2019). MSC: 62M10 62M05 62M15 62H30 60G35 PDF BibTeX XML Cite \textit{P.-F. Marteau}, Int. J. Appl. Math. Comput. Sci. 29, No. 2, 375--392 (2019; Zbl 07171632) Full Text: DOI
Dexter, Nick; Tran, Hoang; Webster, Clayton A mixed \(\ell_1\) regularization approach for sparse simultaneous approximation of parameterized PDEs. (English) Zbl 07167647 ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2025-2045 (2019). MSC: 65C30 41A10 41A58 41A60 41A63 42B37 60H15 PDF BibTeX XML Cite \textit{N. Dexter} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2025--2045 (2019; Zbl 07167647) Full Text: DOI
Baravdish, G.; Svensson, O.; Gulliksson, M.; Zhang, Y. Damped second order flow applied to image denoising. (English) Zbl 1434.65163 IMA J. Appl. Math. 84, No. 6, 1082-1111 (2019). MSC: 65M32 65M30 65M06 65P10 65D18 35R60 35A01 35A02 35B65 94A08 PDF BibTeX XML Cite \textit{G. Baravdish} et al., IMA J. Appl. Math. 84, No. 6, 1082--1111 (2019; Zbl 1434.65163) Full Text: DOI
Amat, Sergio; Busquier, Sonia; Ruiz, Juan; Trillo, Juan Carlos; Zouaoui, Sofiane On some new variational problems for image denoising. (English) Zbl 07166499 Math. Methods Appl. Sci. 42, No. 17, 5881-5897 (2019). MSC: 65D18 68U10 68U05 68U07 PDF BibTeX XML Cite \textit{S. Amat} et al., Math. Methods Appl. Sci. 42, No. 17, 5881--5897 (2019; Zbl 07166499) Full Text: DOI
Schwartz, David M.; Koyluoglu, O. Ozan On the organization of grid and place cells: neural denoising via subspace learning. (English) Zbl 1429.92022 Neural Comput. 31, No. 8, 1519-1550 (2019). MSC: 92B20 91E40 PDF BibTeX XML Cite \textit{D. M. Schwartz} and \textit{O. O. Koyluoglu}, Neural Comput. 31, No. 8, 1519--1550 (2019; Zbl 1429.92022) Full Text: DOI
García Trillos, Nicolás; Sanz-Alonso, Daniel; Yang, Ruiyi Local regularization of noisy point clouds: improved global geometric estimates and data analysis. (English) Zbl 1434.68407 J. Mach. Learn. Res. 20, Paper No. 136, 37 p. (2019). MSC: 68T05 62H12 62H30 62R07 PDF BibTeX XML Cite \textit{N. García Trillos} et al., J. Mach. Learn. Res. 20, Paper No. 136, 37 p. (2019; Zbl 1434.68407) Full Text: Link
Liu, Zhifang; Wali, Samad; Duan, Yuping; Chang, Huibin; Wu, Chunlin; Tai, Xuecheng Proximal ADMM for Euler’s elastica based image decomposition model. (English) Zbl 1449.94015 Numer. Math., Theory Methods Appl. 12, No. 2, 370-402 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{Z. Liu} et al., Numer. Math., Theory Methods Appl. 12, No. 2, 370--402 (2019; Zbl 1449.94015) Full Text: DOI
Zhou, Chong; Zhang, Pengcheng; Liu, Huan; Gui, Zhiguo Adaptive inverse distance weighted interpolation (IDWI) method to filter salt and pepper noise. (Chinese. English summary) Zbl 1449.94027 J. North Univ. China, Nat. Sci. 40, No. 4, 372-377, 384 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{C. Zhou} et al., J. North Univ. China, Nat. Sci. 40, No. 4, 372--377, 384 (2019; Zbl 1449.94027) Full Text: DOI
Zhou, Xiaoming Image segmentation for watershed algorithm based on wavelet denoising and gradient correction. (Chinese. English summary) Zbl 1449.94028 J. Math., Wuhan Univ. 39, No. 4, 583-588 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{X. Zhou}, J. Math., Wuhan Univ. 39, No. 4, 583--588 (2019; Zbl 1449.94028) Full Text: DOI
Li, Weiwei Method for removing salt and pepper noise from non-local switchable filter image. (Chinese. English summary) Zbl 1449.94016 J. Jilin Univ., Sci. 57, No. 4, 910-916 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{W. Li}, J. Jilin Univ., Sci. 57, No. 4, 910--916 (2019; Zbl 1449.94016) Full Text: DOI
Guo, Lin; Meng, Xudong Image denoising algorithm based on partial differential equation and multi-scale analysis. (Chinese. English summary) Zbl 1449.94009 J. Jilin Univ., Sci. 57, No. 4, 882-888 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{L. Guo} and \textit{X. Meng}, J. Jilin Univ., Sci. 57, No. 4, 882--888 (2019; Zbl 1449.94009) Full Text: DOI
Zhang, Dazhi; Shi, Kehan; Guo, Zhichang; Wu, Boying A class of elliptic systems with discontinuous variable exponents and \(L^1\) data for image denoising. (English) Zbl 1433.35082 Nonlinear Anal., Real World Appl. 50, 448-468 (2019). MSC: 35J58 35J05 35J92 PDF BibTeX XML Cite \textit{D. Zhang} et al., Nonlinear Anal., Real World Appl. 50, 448--468 (2019; Zbl 1433.35082) Full Text: DOI
Tang, Chao; Li, Jie; Wang, Linyuan; Li, Ziheng; Jiang, Lingyun; Cai, Ailong; Zhang, Wenkun; Liang, Ningning; Li, Lei; Yan, Bin Unpaired low-dose CT denoising network based on cycle-consistent generative adversarial network with prior image information. (English) Zbl 1428.92063 Comput. Math. Methods Med. 2019, Article ID 8639825, 11 p. (2019). MSC: 92C55 PDF BibTeX XML Cite \textit{C. Tang} et al., Comput. Math. Methods Med. 2019, Article ID 8639825, 11 p. (2019; Zbl 1428.92063) Full Text: DOI
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan A parallel domain decomposition algorithm for large scale image denoising. (English) Zbl 1427.65401 Inverse Probl. Imaging 13, No. 6, 1259-1282 (2019). MSC: 65N55 65Y05 68U10 PDF BibTeX XML Cite \textit{R. Chen} et al., Inverse Probl. Imaging 13, No. 6, 1259--1282 (2019; Zbl 1427.65401) Full Text: DOI
Zheng, Wei; Li, Si; Krol, Andrzej; Ross Schmidtlein, C.; Zeng, Xueying; Xu, Yuesheng Sparsity promoting regularization for effective noise suppression in SPECT image reconstruction. (English) Zbl 1447.92215 Inverse Probl. 35, No. 11, Article ID 115011, 37 p. (2019). MSC: 92C55 94A08 94A12 PDF BibTeX XML Cite \textit{W. Zheng} et al., Inverse Probl. 35, No. 11, Article ID 115011, 37 p. (2019; Zbl 1447.92215) Full Text: DOI
Brinkmann, Eva-Maria Novel aspects of total variation-type regularization in imaging. (English) Zbl 1430.68003 Münster: Westfälische Wilhelms-Universität Münster, Fachbereich Mathematik und Informatik (Diss.). ix, 431 p. (2019). MSC: 68-02 94-02 65K10 68U10 94A08 PDF BibTeX XML Cite \textit{E.-M. Brinkmann}, Novel aspects of total variation-type regularization in imaging. Münster: Westfälische Wilhelms-Universität Münster, Fachbereich Mathematik und Informatik (Diss.) (2019; Zbl 1430.68003)
Liu, Zheng; Zhong, Saishang; Xie, Zhong; Wang, Weina A novel anisotropic second order regularization for mesh denoising. (English) Zbl 07137399 Comput. Aided Geom. Des. 71, 190-201 (2019). MSC: 65D PDF BibTeX XML Cite \textit{Z. Liu} et al., Comput. Aided Geom. Des. 71, 190--201 (2019; Zbl 07137399) Full Text: DOI
Yueh, Mei-Heng Heat flows with applications. (English) Zbl 1428.53109 Ji, Lizhen (ed.) et al., Tsinghua lectures in mathematics. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 45, 501-516 (2019). MSC: 53E99 68U05 94A08 65D18 PDF BibTeX XML Cite \textit{M.-H. Yueh}, in: Tsinghua lectures in mathematics. Somerville, MA: International Press; Beijing: Higher Education Press. 501--516 (2019; Zbl 1428.53109)
Overgaard, Niels Chr On the taut string interpretation and other properties of the Rudin-Osher-Fatemi model in one dimension. (English) Zbl 07124251 J. Math. Imaging Vis. 61, No. 9, 1276-1300 (2019). MSC: 68 94 PDF BibTeX XML Cite \textit{N. C. Overgaard}, J. Math. Imaging Vis. 61, No. 9, 1276--1300 (2019; Zbl 07124251) Full Text: DOI
Calatroni, Luca; Papafitsoros, Kostas Analysis and automatic parameter selection of a variational model for mixed Gaussian and salt-and-pepper noise removal. (English) Zbl 1426.49027 Inverse Probl. 35, No. 11, Article ID 114001, 37 p. (2019). MSC: 49M15 94A08 65K10 PDF BibTeX XML Cite \textit{L. Calatroni} and \textit{K. Papafitsoros}, Inverse Probl. 35, No. 11, Article ID 114001, 37 p. (2019; Zbl 1426.49027) Full Text: DOI
Zhu, Rongliang; Tao, Jinyi ECG signal processing and simulation based on improved wavelet threshold denoising algorithm. (Chinese. English summary) Zbl 1438.92053 Math. Pract. Theory 49, No. 5, 143-150 (2019). MSC: 92C55 42C40 PDF BibTeX XML Cite \textit{R. Zhu} and \textit{J. Tao}, Math. Pract. Theory 49, No. 5, 143--150 (2019; Zbl 1438.92053)
Chen, Jiayi; Dong, Mengyi; Zhan, Yinwei; Cao, Huiying; Xiong, Gangqiang The application of multi-neighborhood median filter in medical images. (Chinese. English summary) Zbl 1438.92040 J. Jinan Univ., Nat. Sci. Med. Ed. 40, No. 1, 85-94 (2019). MSC: 92C55 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Jinan Univ., Nat. Sci. Med. Ed. 40, No. 1, 85--94 (2019; Zbl 1438.92040) Full Text: DOI
Sun, Huiping; Wang, Meiqing; Hong, Qianying Covariance estimation and algorithm implementation of hedge fund distributional-replicating approach. (Chinese. English summary) Zbl 1438.62137 J. Fuzhou Univ., Nat. Sci. 47, No. 2, 173-179 (2019). MSC: 62J10 62P05 PDF BibTeX XML Cite \textit{H. Sun} et al., J. Fuzhou Univ., Nat. Sci. 47, No. 2, 173--179 (2019; Zbl 1438.62137) Full Text: DOI
Yang, Huahui; Meng, Chen; Wang, Cheng; Yao, Yunzhi Improved \(K\)-means clustering algorithm based on feature selection and removal on target point. (Chinese. English summary) Zbl 1438.68138 Control Decis. 34, No. 6, 1219-1226 (2019). MSC: 68T05 PDF BibTeX XML Cite \textit{H. Yang} et al., Control Decis. 34, No. 6, 1219--1226 (2019; Zbl 1438.68138) Full Text: DOI
Wang, Qiang; Lv, Zheng; Wang, Linqing; Wang, Wei Deep denoising kernel mapping-based long-term prediction model. (Chinese. English summary) Zbl 1438.62181 Control Decis. 34, No. 5, 989-996 (2019). MSC: 62M20 68T05 PDF BibTeX XML Cite \textit{Q. Wang} et al., Control Decis. 34, No. 5, 989--996 (2019; Zbl 1438.62181) Full Text: DOI
Kim, Saejoon Enhancing the momentum strategy through deep regression. (English) Zbl 1420.91420 Quant. Finance 19, No. 7, 1121-1133 (2019). MSC: 91G10 62P05 68T05 PDF BibTeX XML Cite \textit{S. Kim}, Quant. Finance 19, No. 7, 1121--1133 (2019; Zbl 1420.91420) Full Text: DOI