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 1930-8337

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Volume 14, 2020

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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.


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Convergence analysis of the adjoint ensemble method in inverse source problems for advection-diffusion-reaction models with image-type measurements
Alexey Penenko
2020, 14(5) : 757-782 doi: 10.3934/ipi.2020035 +[Abstract](781) +[HTML](196) +[PDF](2923.7KB)
Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies
Boya Liu
2020, 14(5) : 783-796 doi: 10.3934/ipi.2020036 +[Abstract](634) +[HTML](171) +[PDF](388.78KB)
Numerical recovery of magnetic diffusivity in a three dimensional spherical dynamo equation
Djemaa Messaoudi, Osama Said Ahmed, Komivi Souley Agbodjan, Ting Cheng and Daijun Jiang
2020, 14(5) : 797-818 doi: 10.3934/ipi.2020037 +[Abstract](646) +[HTML](175) +[PDF](395.63KB)
Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation
Yavar Kian and Alexander Tetlow
2020, 14(5) : 819-839 doi: 10.3934/ipi.2020038 +[Abstract](587) +[HTML](138) +[PDF](419.78KB)
Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements
Mourad Bellassoued and Oumaima Ben Fraj
2020, 14(5) : 841-865 doi: 10.3934/ipi.2020039 +[Abstract](612) +[HTML](173) +[PDF](451.8KB)
A nonconvex truncated regularization and box-constrained model for CT reconstruction
Weina Wang, Chunlin Wu and Yiming Gao
2020, 14(5) : 867-890 doi: 10.3934/ipi.2020040 +[Abstract](594) +[HTML](192) +[PDF](1904.71KB)
Nonlocal regularized CNN for image segmentation
Fan Jia, Xue-Cheng Tai and Jun Liu
2020, 14(5) : 891-911 doi: 10.3934/ipi.2020041 +[Abstract](777) +[HTML](231) +[PDF](2876.37KB)
Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data
Alexey Smirnov, Michael Klibanov and Loc Nguyen
2020, 14(5) : 913-938 doi: 10.3934/ipi.2020042 +[Abstract](589) +[HTML](163) +[PDF](598.13KB)
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation
Barbara Kaltenbacher and William Rundell
2020, 14(5) : 939-966 doi: 10.3934/ipi.2020043 +[Abstract](658) +[HTML](174) +[PDF](381.45KB)
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](258) +[HTML](125) +[PDF](527.35KB)
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](225) +[HTML](113) +[PDF](284.76KB)
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](242) +[HTML](113) +[PDF](2049.37KB)
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](217) +[HTML](108) +[PDF](333.78KB)
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](280) +[HTML](146) +[PDF](5190.04KB)
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](275) +[HTML](130) +[PDF](2981.1KB)
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](281) +[HTML](167) +[PDF](11956.02KB)
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](264) +[HTML](279) +[PDF](3273.78KB)
Two-dimensional seismic data reconstruction using patch tensor completion
Qun Liu, Lihua Fu, Meng Zhang and Wanjuan Zhang
2020doi: 10.3934/ipi.2020052 +[Abstract](220) +[HTML](124) +[PDF](5410.0KB)
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation
Chan Liu, Jin Wen and Zhidong Zhang
2020doi: 10.3934/ipi.2020053 +[Abstract](204) +[HTML](99) +[PDF](1652.97KB)
Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles
Guanghui Hu, Andrea Mantile, Mourad Sini and Tao Yin
2020doi: 10.3934/ipi.2020054 +[Abstract](175) +[HTML](82) +[PDF](1318.81KB)
Interactions of semilinear progressing waves in two or more space dimensions
Antônio Sá Barreto
2020doi: 10.3934/ipi.2020055 +[Abstract](128) +[HTML](87) +[PDF](628.71KB)
Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations
Marion Darbas, Jérémy Heleine and Stephanie Lohrengel
2020doi: 10.3934/ipi.2020056 +[Abstract](181) +[HTML](115) +[PDF](3091.98KB)
Automatic segmentation of the femur and tibia bones from X-ray images based on pure dilated residual U-Net
Weihao Shen, Wenbo Xu, Hongyang Zhang, Zexin Sun, Jianxiong Ma, Xinlong Ma, Shoujun Zhou, Shijie Guo and Yuanquan Wang
2020doi: 10.3934/ipi.2020057 +[Abstract](336) +[HTML](118) +[PDF](2807.14KB)
A parallel operator splitting algorithm for solving constrained total-variation retinex
Leyu Hu, Wenxing Zhang, Xingju Cai and Deren Han
2020doi: 10.3934/ipi.2020058 +[Abstract](48) +[HTML](31) +[PDF](3496.9KB)
Spatial-Frequency domain nonlocal total variation for image denoising
Haijuan Hu, Jacques Froment, Baoyan Wang and Xiequan Fan
2020doi: 10.3934/ipi.2020059 +[Abstract](44) +[HTML](28) +[PDF](8313.74KB)
Leaf Peeling method for the wave equation on metric tree graphs
Sergei Avdonin and Yuanyuan Zhao
2020doi: 10.3934/ipi.2020060 +[Abstract](45) +[HTML](30) +[PDF](312.55KB)
Posterior contraction for empirical bayesian approach to inverse problems under non-diagonal assumption
Junxiong Jia, Jigen Peng and Jinghuai Gao
2020doi: 10.3934/ipi.2020061 +[Abstract](45) +[HTML](28) +[PDF](434.12KB)
Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems
Ye Zhang and Bernd Hofmann
2020doi: 10.3934/ipi.2020062 +[Abstract](51) +[HTML](26) +[PDF](713.15KB)
Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex
Lu Yang, Guangsheng Wei and Vyacheslav Pivovarchik
2020doi: 10.3934/ipi.2020063 +[Abstract](47) +[HTML](28) +[PDF](314.38KB)
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](4628) +[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](3288) +[PDF](204.8KB) Cited By(143)
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](3851) +[PDF](922.2KB) Cited By(90)
On the existence of transmission eigenvalues
Andreas Kirsch
2009, 3(2) : 155-172 doi: 10.3934/ipi.2009.3.155 +[Abstract](3193) +[PDF](214.7KB) Cited By(85)
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](3618) +[PDF](451.7KB) Cited By(82)
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](3629) +[PDF](270.3KB) Cited By(75)
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](5111) +[PDF](2454.5KB) Cited By(73)
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](3839) +[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](3363) +[PDF](156.4KB) Cited By(63)
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](3257) +[PDF](441.9KB) Cited By(60)
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](2609) +[HTML](401) +[PDF](1475.63KB) PDF Downloads(315)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](5393) +[HTML](391) +[PDF](3108.34KB) PDF Downloads(311)
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](3742) +[HTML](833) +[PDF](1075.82KB) PDF Downloads(292)
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](2904) +[PDF](866.5KB) PDF Downloads(264)
Time-invariant radon transform by generalized Fourier slice theorem
Ali Gholami and Mauricio D. Sacchi
2017, 11(3) : 501-519 doi: 10.3934/ipi.2017023 +[Abstract](4468) +[HTML](81) +[PDF](4112.8KB) PDF Downloads(231)
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](5111) +[PDF](2454.5KB) PDF Downloads(231)
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](2165) +[HTML](170) +[PDF](340.84KB) PDF Downloads(227)
Nonlocal regularized CNN for image segmentation
Fan Jia, Xue-Cheng Tai and Jun Liu
2020, 14(5) : 891-911 doi: 10.3934/ipi.2020041 +[Abstract](777) +[HTML](231) +[PDF](2876.37KB) PDF Downloads(227)
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](2548) +[HTML](361) +[PDF](903.05KB) PDF Downloads(226)
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](5648) +[HTML](426) +[PDF](659.55KB) PDF Downloads(225)

2019  Impact Factor: 1.373

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