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Inverse Problems in Science and Engineering Volume 15, 2007 - Issue 6
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Original Articles

Projected Barzilai–Borwein method for large-scale nonnegative image restoration

Yanfei WangInstitute of Geology and Geophysics, Chinese Academy of Sciences, P.O. Box 9825, Beijing, 100029, P.R, China
&
Shiqian MaState Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific / Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing, 100080, P.R, China
Pages 559-583 | Received 26 Jun 2005, Accepted 16 Jun 2006, Published online: 22 Aug 2007

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Zhaohai Meng, Wei Li, Fengting Li & Hongyu Li. (2021) Projected Barzilai-Borwein method for the acceleration of gravity field data inversion. Exploration Geophysics 52:3, pages 356-367.
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Anantachai Padcharoen, Duangkamon Kitkuan, Poom Kumam, Jewaidu Rilwan & Wiyada Kumam. (2020) Accelerated alternating minimization algorithm for Poisson noisy image recovery. Inverse Problems in Science and Engineering 28:7, pages 1031-1056.
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Jie Hou & Yanfei Wang. (2018) Least-squares Kirchhoff migration with non-smooth regularisation strategy for subsurface imaging. Exploration Geophysics 49:6, pages 793-802.
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Tao Sun & Yanfei Wang. (2014) Adaptive surface-related multiple subtraction using sparse norm minimization method. Optimization Methods and Software 29:2, pages 341-352.
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Johana Guerrero, Marcos Raydan & Marielba Rojas. (2013) A hybrid-optimization method for large-scale non-negative full regularization in image restoration. Inverse Problems in Science and Engineering 21:5, pages 741-766.
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Yanfei Wang, Yonghua Du & Tiandou Hu. (2009) Projected gradient methods for synchrotron radiation spectra distribution function reconstruction. Inverse Problems in Science and Engineering 17:2, pages 175-186.
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Liping Wang & Yanfei Wang. (2018) A joint matrix minimization approach for seismic wavefield recovery. Scientific Reports 8:1.
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Yanfei Wang, Shousheng Luo, Lihua Wang, Jianqiang Wang & Chan Jin. (2017) Synchrotron radiation-based l 1 -norm regularization on micro-CT imaging in shale structure analysis . Journal of Inverse and Ill-posed Problems 25:4, pages 483-497.
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Yakui Huang & Hongwei Liu. (2014) A Barzilai-Borwein type method for minimizing composite functions. Numerical Algorithms 69:4, pages 819-838.
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Qinghua Ma, Zuoliang Xu & Liping Wang. (2015) Recovery of the local volatility function using regularization and a gradient projection method. Journal of Industrial & Management Optimization 11:2, pages 421-437.
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Yanfei Wang. 2015. Handbook of Geomathematics. Handbook of Geomathematics 1775 1806 .
Tibor Lukić & Joviša Žunić. (2014) A non-gradient-based energy minimization approach to the image denoising problem. Inverse Problems 30:9, pages 095007.
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Kathleen Fraser, Dirk V. Arnold & Graham Dellaire. (2014) Projected Barzilai-Borwein Method with Infeasible Iterates for Nonnegative Least-Squares Image Deblurring. Projected Barzilai-Borwein Method with Infeasible Iterates for Nonnegative Least-Squares Image Deblurring.
Yanfei Wang. 2020. Handbook of Geomathematics. Handbook of Geomathematics 1 28 .
Jinjie Liu, Hongxia Wang, Dongyun Yi & Lei Sun. (2012) Seismic reflectivity inversion by a sparsity and lateral continuity constrained gradient descent method. Seismic reflectivity inversion by a sparsity and lateral continuity constrained gradient descent method.
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Y. F. Wang. (2011) Preconditioning non-monotone gradient methods for retrieval of seismic reflection signals. Advances in Computational Mathematics 36:2, pages 353-376.
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Yanfei Wang, Jingjie Cao & Changchun Yang. (2011) Recovery of seismic wavefields based on compressive sensing by an l1-norm constrained trust region method and the piecewise random subsampling. Geophysical Journal International 187:1, pages 199-213.
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Tibor Lukić, Joakim Lindblad & Nataša Sladoje. (2011) Regularized image denoising based on spectral gradient optimization. Inverse Problems 27:8, pages 085010.
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R.L. Broughton, I.D. Coope, P.F. Renaud & R.E.H. Tappenden. (2011) A box constrained gradient projection algorithm for compressed sensing. Signal Processing 91:8, pages 1985-1992.
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Yanfei Wang, Yan Cui & Changchun Yang. (2011) Hybrid regularization methods for seismic reflectivity inversion. GEM - International Journal on Geomathematics 2:1, pages 87-112.
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Mingqiang Zhu, Stephen J. Wright & Tony F. Chan. (2008) Duality-based algorithms for total-variation-regularized image restoration. Computational Optimization and Applications 47:3, pages 377-400.
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S. Saadi, A. Kouzou, A. Guessoum & M. Bettayeb. (2010) A comparative study to select an image deconvolution method. A comparative study to select an image deconvolution method.
Yanfei Wang. (2010) Seismic impedance inversion using l 1-norm regularization and gradient descent methods. Journal of Inverse and Ill-posed Problems 18:7.
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Yanfei Wang & Xiaowen Li. 2011. Optimization and Regularization for Computational Inverse Problems and Applications. Optimization and Regularization for Computational Inverse Problems and Applications 273 299 .
Yanfei Wang. 2010. Handbook of Geomathematics. Handbook of Geomathematics 785 812 .
Yanfei Wang & Shiqian Ma. (2009) A fast subspace method for image deblurring. Applied Mathematics and Computation 215:6, pages 2359-2377.
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Yanfei Wang, Changchun Yang & Xiaowen Li. 2009. Kernel Methods for Remote Sensing Data Analysis. Kernel Methods for Remote Sensing Data Analysis 271 299 .
Yanfei Wang, Jingjie Cao, Yaxiang Yuan, Changchun Yang & Naihua Xiu. (2009) Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem. Applied Optics 48:7, pages 1389.
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M Prato & L Zanni. (2008) Inverse problems in machine learning: An application to brain activity interpretation. Journal of Physics: Conference Series 135, pages 012085.
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Yanfei Wang. (2008) An efficient gradient method for maximum entropy regularizing retrieval of atmospheric aerosol particle size distribution function. Journal of Aerosol Science 39:4, pages 305-322.
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Yanfei Wang & Claudia Kuenzer. (2008) On gradient methods for maximum entropy regularizing retrieval of atmospheric aerosol particle size distribution function. PAMM 7:1, pages 1042103-1042104.
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