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Original Articles

A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation

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Pages 140-161 | Received 01 Feb 2012, Accepted 03 Jul 2012, Published online: 08 Aug 2012

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Dehua Wang & Jinghuai Gao. (2016) An improved noise removal model based on nonlinear fourth-order partial differential equations. International Journal of Computer Mathematics 93:6, pages 942-954.
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Yu Han, Chen Xu, George Baciu & Xiangchu Feng. (2014) Multiplicative noise removal combining a total variation regularizer and a nonconvex regularizer. International Journal of Computer Mathematics 91:10, pages 2243-2259.
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Behzad Ghanbari, Lavdie Rada & Ke Chen. (2014) A restarted iterative homotopy analysis method for two nonlinear models from image processing. International Journal of Computer Mathematics 91:3, pages 661-687.
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Ke Chen. (2013) Introduction to variational image-processing models and applications. International Journal of Computer Mathematics 90:1, pages 1-8.
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Articles from other publishers (17)

Mushtaq Ahmad Khan, Asmat Ullah, Zhuo-Jia Fu, Sahib Khan & Sheraz Khan. (2024) Image restoration via combining a fractional order variational filter and a TGV penalty. Multimedia Tools and Applications.
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Chunyan Li, Baoguang Sun & Liming Tang. (2022) A nonconvex hybrid regularization model for restoring blurred images with mixed noises. Digital Signal Processing 130, pages 103734.
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Cuicui Zhao, Jun Liu & Jie Zhang. (2021) A Dual Model for Restoring Images Corrupted by Mixture of Additive and Multiplicative Noise. IEEE Access 9, pages 168869-168888.
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Mushtaq Ahmad Khan, Asmat Ullah, Sahib Khan, Murtaza Ali, Sheraz Khan, Khalil Khan, Mehedi Masud & Jehad Ali. (2021) A Novel Fractional-Order Variational Approach for Image Restoration Based on Fuzzy Membership Degrees. IEEE Access 9, pages 43574-43600.
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Noppadol Chumchob & Ke Chen. (2020) An augmented Lagrangian method for solving total variation (TV)-based image registration model. Journal of Algorithms & Computational Technology 14, pages 174830262097353.
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Yunping Mu, Baoxiang Huang, Zhenkuan Pan, Huan Yang & Yajing Li. (2019) Speckle Noise Removal for SAR Image Based on G 0 Distribution Combining Total Variation and Total Curvature . Speckle Noise Removal for SAR Image Based on G 0 Distribution Combining Total Variation and Total Curvature .
FAJIE WANG, WEN CHEN & LIN QIU. (2019) HAUSDORFF DERIVATIVE LAPLACIAN OPERATOR FOR IMAGE SHARPENING. Fractals 27:03, pages 1950060.
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Andreas Langer & Fernando Gaspoz. (2019) Overlapping Domain Decomposition Methods for Total Variation Denoising. SIAM Journal on Numerical Analysis 57:3, pages 1411-1444.
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Yunping Mu, Baoxiang Huang, Zhenkuan Pan, Huan Yang, Guojia Hou & Jinming Duan. (2019) An Enhanced High-Order Variational Model Based on Speckle Noise Removal With $G^0$ Distribution. IEEE Access 7, pages 104365-104379.
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Md. Robiul Islam, Chen Xu, Rana Aamir Raza & Yu Han. (2018) An Effective Weighted Hybrid Regularizing Approach for Image Noise Reduction. Circuits, Systems, and Signal Processing 38:1, pages 218-241.
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Jin-Jin Mei & Ting-Zhu Huang. 2019. The Proceedings of the International Conference on Sensing and Imaging. The Proceedings of the International Conference on Sensing and Imaging 223 235 .
Asmat Ullah, Wen Chen, Mushtaq Ahmad Khan & HongGuang Sun. (2016) An Efficient Variational Method for Restoring Images with Combined Additive and Multiplicative Noise. International Journal of Applied and Computational Mathematics 3:3, pages 1999-2019.
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Asmat Ullah, Wen Chen, Mushtaq Ahmad Khan & HongGuang Sun. (2017) A New Variational Approach for Multiplicative Noise and Blur Removal. PLOS ONE 12:1, pages e0161787.
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Asmat Ullah, Wen Chen, HongGuang Sun & Mushtaq Ahmad Khan. (2016) A modified multi-grid algorithm for a novel variational model to remove multiplicative noise. Journal of Visual Communication and Image Representation 40, pages 485-501.
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Asmat Ullah, Wen Chen & Mushtaq Ahmad Khan. (2016) A new variational approach for restoring images with multiplicative noise. Computers & Mathematics with Applications 71:10, pages 2034-2050.
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Celia A.Z. Barcelos & Luciana E. S. R. Vieira. (2014) Ultrasound speckle noise reduction via an adaptive edge-controlled variational method. Ultrasound speckle noise reduction via an adaptive edge-controlled variational method.
Li Sun & Ke Chen. (2013) A new iterative algorithm for mean curvature-based variational image denoising. BIT Numerical Mathematics 54:2, pages 523-553.
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