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Inverse Problems and Imaging publishes research articles of the highest quality that employ innovative mathematical and modeling techniques to study inverse and imaging problems arising in engineering and other sciences. Every published paper has a strong mathematical orientation employing methods from such areas as control theory, discrete mathematics, differential geometry, harmonic analysis, functional analysis, integral geometry, mathematical physics, numerical analysis, optimization, partial differential equations, and stochastic and statistical methods. The field of applications includes medical and other imaging, nondestructive testing, geophysical prospection and remote sensing as well as image analysis and image processing.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Automatic extraction of cell nuclei using dilated convolutional network
Rajendra K C Khatri, Brendan J Caseria, Yifei Lou, Guanghua Xiao and Yan Cao
2020, 0(0) : 1-14 doi: 10.3934/ipi.2020049 +[Abstract](71) +[HTML](24) +[PDF](2983.61KB)
LANTERN: Learn analysis transform network for dynamic magnetic resonance imaging
Shanshan Wang, Yanxia Chen, Taohui Xiao, Lei Zhang, Xin Liu and Hairong Zheng
2020, 0(0) : 1-16 doi: 10.3934/ipi.2020051 +[Abstract](82) +[HTML](91) +[PDF](3278.9KB)
Image retinex based on the nonconvex TV-type regularization
Yuan Wang, Zhi-Feng Pang, Yuping Duan and Ke Chen
2020, 0(0) : 1-27 doi: 10.3934/ipi.2020050 +[Abstract](76) +[HTML](32) +[PDF](11959.87KB)
Some worst-case datasets of deterministic first-order methods for solving binary logistic regression
Yuyuan Ouyang and Trevor Squires
2020, 0(0) : 1-15 doi: 10.3934/ipi.2020047 +[Abstract](65) +[HTML](18) +[PDF](337.13KB)
A new initialization method based on normed statistical spaces in deep networks
Hongfei Yang, Xiaofeng Ding, Raymond Chan, Hui Hu, Yaxin Peng and Tieyong Zeng
2020, 0(0) : 1-12 doi: 10.3934/ipi.2020045 +[Abstract](67) +[HTML](18) +[PDF](287.32KB)
Optimal recovery of a radiating source with multiple frequencies along one line
Tommi Brander, Joonas Ilmavirta, Petteri Piiroinen and Teemu Tyni
2020, 0(0) : 1-17 doi: 10.3934/ipi.2020044 +[Abstract](81) +[HTML](22) +[PDF](530.35KB)
Reproducible kernel Hilbert space based global and local image segmentation
Liam Burrows, Weihong Guo, Ke Chen and Francesco Torella
2020, 0(0) : 1-25 doi: 10.3934/ipi.2020048 +[Abstract](73) +[HTML](28) +[PDF](5200.32KB)
Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training
Bao Wang, Alex Lin, Penghang Yin, Wei Zhu, Andrea L. Bertozzi and Stanley J. Osher
2020, 0(0) : 1-17 doi: 10.3934/ipi.2020046 +[Abstract](78) +[HTML](23) +[PDF](2059.34KB)
Optimal recovery of a radiating source with multiple frequencies along one line
Tommi Brander, Joonas Ilmavirta, Petteri Piiroinen and Teemu Tyni
2020doi: 10.3934/ipi.2020044 +[Abstract](81) +[HTML](22) +[PDF](530.35KB)
A new initialization method based on normed statistical spaces in deep networks
Hongfei Yang, Xiaofeng Ding, Raymond Chan, Hui Hu, Yaxin Peng and Tieyong Zeng
2020doi: 10.3934/ipi.2020045 +[Abstract](67) +[HTML](18) +[PDF](287.32KB)
Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training
Bao Wang, Alex Lin, Penghang Yin, Wei Zhu, Andrea L. Bertozzi and Stanley J. Osher
2020doi: 10.3934/ipi.2020046 +[Abstract](78) +[HTML](23) +[PDF](2059.34KB)
Some worst-case datasets of deterministic first-order methods for solving binary logistic regression
Yuyuan Ouyang and Trevor Squires
2020doi: 10.3934/ipi.2020047 +[Abstract](65) +[HTML](18) +[PDF](337.13KB)
Reproducible kernel Hilbert space based global and local image segmentation
Liam Burrows, Weihong Guo, Ke Chen and Francesco Torella
2020doi: 10.3934/ipi.2020048 +[Abstract](73) +[HTML](28) +[PDF](5200.32KB)
Automatic extraction of cell nuclei using dilated convolutional network
Rajendra K C Khatri, Brendan J Caseria, Yifei Lou, Guanghua Xiao and Yan Cao
2020doi: 10.3934/ipi.2020049 +[Abstract](71) +[HTML](24) +[PDF](2983.61KB)
Image retinex based on the nonconvex TV-type regularization
Yuan Wang, Zhi-Feng Pang, Yuping Duan and Ke Chen
2020doi: 10.3934/ipi.2020050 +[Abstract](76) +[HTML](32) +[PDF](11959.87KB)
LANTERN: Learn analysis transform network for dynamic magnetic resonance imaging
Shanshan Wang, Yanxia Chen, Taohui Xiao, Lei Zhang, Xin Liu and Hairong Zheng
2020doi: 10.3934/ipi.2020051 +[Abstract](82) +[HTML](91) +[PDF](3278.9KB)
Fast dual minimization of the vectorial total variation norm and applications to color image processing
Xavier Bresson and Tony F. Chan
2008, 2(4) : 455-484 doi: 10.3934/ipi.2008.2.455 +[Abstract](4434) +[PDF](1915.3KB) Cited By(160)
The interior transmission problem
David Colton, Lassi Päivärinta and John Sylvester
2007, 1(1) : 13-28 doi: 10.3934/ipi.2007.1.13 +[Abstract](3136) +[PDF](204.8KB) Cited By(142)
Two-phase approach for deblurring images corrupted by impulse plus gaussian noise
Jian-Feng Cai, Raymond H. Chan and Mila Nikolova
2008, 2(2) : 187-204 doi: 10.3934/ipi.2008.2.187 +[Abstract](3647) +[PDF](922.2KB) Cited By(86)
On the existence of transmission eigenvalues
Andreas Kirsch
2009, 3(2) : 155-172 doi: 10.3934/ipi.2009.3.155 +[Abstract](3045) +[PDF](214.7KB) Cited By(84)
Regularized D-bar method for the inverse conductivity problem
Kim Knudsen, Matti Lassas, Jennifer L. Mueller and Samuli Siltanen
2009, 3(4) : 599-624 doi: 10.3934/ipi.2009.3.599 +[Abstract](3434) +[PDF](451.7KB) Cited By(80)
Iteratively solving linear inverse problems under general convex constraints
Ingrid Daubechies, Gerd Teschke and Luminita Vese
2007, 1(1) : 29-46 doi: 10.3934/ipi.2007.1.29 +[Abstract](3458) +[PDF](270.3KB) Cited By(75)
Parallel matrix factorization for low-rank tensor completion
Yangyang Xu, Ruru Hao, Wotao Yin and Zhixun Su
2015, 9(2) : 601-624 doi: 10.3934/ipi.2015.9.601 +[Abstract](3561) +[PDF](839.8KB) Cited By(71)
On uniqueness in the inverse conductivity problem with local data
Victor Isakov
2007, 1(1) : 95-105 doi: 10.3934/ipi.2007.1.95 +[Abstract](3198) +[PDF](156.4KB) Cited By(61)
Discretization-invariant Bayesian inversion and Besov space priors
Matti Lassas, Eero Saksman and Samuli Siltanen
2009, 3(1) : 87-122 doi: 10.3934/ipi.2009.3.87 +[Abstract](3080) +[PDF](441.9KB) Cited By(60)
Photo-acoustic inversion in convex domains
Frank Natterer
2012, 6(2) : 315-320 doi: 10.3934/ipi.2012.6.315 +[Abstract](2614) +[PDF](238.1KB) Cited By(55)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](4927) +[HTML](390) +[PDF](3108.34KB) PDF Downloads(292)
Poisson image denoising based on fractional-order total variation
Mujibur Rahman Chowdhury, Jun Zhang, Jing Qin and Yifei Lou
2020, 14(1) : 77-96 doi: 10.3934/ipi.2019064 +[Abstract](2305) +[HTML](400) +[PDF](1475.63KB) PDF Downloads(289)
Incorporating structural prior information and sparsity into EIT using parallel level sets
Ville Kolehmainen, Matthias J. Ehrhardt and Simon R. Arridge
2019, 13(2) : 285-307 doi: 10.3934/ipi.2019015 +[Abstract](3290) +[HTML](754) +[PDF](1075.82KB) PDF Downloads(281)
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
Xinlong Feng, Huailing Song, Tao Tang and Jiang Yang
2013, 7(3) : 679-695 doi: 10.3934/ipi.2013.7.679 +[Abstract](2717) +[PDF](866.5KB) PDF Downloads(228)
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity
Chunlin Wu, Juyong Zhang and Xue-Cheng Tai
2011, 5(1) : 237-261 doi: 10.3934/ipi.2011.5.237 +[Abstract](4884) +[PDF](2454.5KB) PDF Downloads(223)
Backward problem for a time-space fractional diffusion equation
Junxiong Jia, Jigen Peng, Jinghuai Gao and Yujiao Li
2018, 12(3) : 773-799 doi: 10.3934/ipi.2018033 +[Abstract](5430) +[HTML](424) +[PDF](659.55KB) PDF Downloads(217)
Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction
Didi Lv, Qingping Zhou, Jae Kyu Choi, Jinglai Li and Xiaoqun Zhang
2020, 14(1) : 117-132 doi: 10.3934/ipi.2019066 +[Abstract](1471) +[HTML](386) +[PDF](2355.85KB) PDF Downloads(216)
Inverse random source problem for biharmonic equation in two dimensions
Yuxuan Gong and Xiang Xu
2019, 13(3) : 635-652 doi: 10.3934/ipi.2019029 +[Abstract](2192) +[HTML](360) +[PDF](903.05KB) PDF Downloads(207)
Nonlinear fractional diffusion model for deblurring images with textures
Zhichang Guo, Wenjuan Yao, Jiebao Sun and Boying Wu
2019, 13(6) : 1161-1188 doi: 10.3934/ipi.2019052 +[Abstract](1463) +[HTML](343) +[PDF](8363.67KB) PDF Downloads(204)
An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition
Chuan-Fu Yang, Natalia Pavlovna Bondarenko and Xiao-Chuan Xu
2020, 14(1) : 153-169 doi: 10.3934/ipi.2019068 +[Abstract](1990) +[HTML](169) +[PDF](340.84KB) PDF Downloads(202)

2019  Impact Factor: 1.373

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