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Congratulations to IPI Editor in Chief Gunther Uhlmann on winning the 2021 George Birkhoff Prize in Applied Mathematics for his fundamental and insightful contributions to inverse problems and partial differential equations, as well as for his incisive work on boundary rigidity, microlocal analysis and cloaking. Learn more about the award and Dr. Uhlmann's achievements on the AMS website.

Inverse Problems and Imaging (IPI) 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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Large region inpainting by re-weighted regularized methods
Yiting Chen, Jia Li and Qingyun Yu
2021, 15(5) : 827-842 doi: 10.3934/ipi.2021015 +[Abstract](595) +[HTML](287) +[PDF](2698.84KB)
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
Yuan Gao, Guangzhen Jin and Jian-Guo Liu
2021, 15(5) : 843-864 doi: 10.3934/ipi.2021016 +[Abstract](1357) +[HTML](274) +[PDF](7296.3KB)
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements
Barbara Kaltenbacher and William Rundell
2021, 15(5) : 865-891 doi: 10.3934/ipi.2021020 +[Abstract](675) +[HTML](271) +[PDF](506.72KB)
Quantum tomography and the quantum Radon transform
Alberto Ibort and Alberto López-Yela
2021, 15(5) : 893-928 doi: 10.3934/ipi.2021021 +[Abstract](711) +[HTML](290) +[PDF](647.38KB)
Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide
Yosra Soussi
2021, 15(5) : 929-950 doi: 10.3934/ipi.2021022 +[Abstract](600) +[HTML](221) +[PDF](352.4KB)
Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion
De-han Chen and Daijun jiang
2021, 15(5) : 951-974 doi: 10.3934/ipi.2021023 +[Abstract](499) +[HTML](236) +[PDF](390.08KB)
Near-field imaging for an obstacle above rough surfaces with limited aperture data
Lei Zhang and Luming Jia
2021, 15(5) : 975-997 doi: 10.3934/ipi.2021024 +[Abstract](477) +[HTML](249) +[PDF](1511.98KB)
A note on transmission eigenvalues in electromagnetic scattering theory
Fioralba Cakoni, Shixu Meng and Jingni Xiao
2021, 15(5) : 999-1014 doi: 10.3934/ipi.2021025 +[Abstract](559) +[HTML](266) +[PDF](331.62KB)
Two-dimensional inverse scattering for quasi-linear biharmonic operator
Markus Harju, Jaakko Kultima, Valery Serov and Teemu Tyni
2021, 15(5) : 1015-1033 doi: 10.3934/ipi.2021026 +[Abstract](537) +[HTML](224) +[PDF](2545.53KB)
On Tikhonov-type regularization with approximated penalty terms
Andreas Neubauer
2021, 15(5) : 1035-1050 doi: 10.3934/ipi.2021027 +[Abstract](512) +[HTML](248) +[PDF](421.92KB)
Phase retrieval from Fourier measurements with masks
Huiping Li and Song Li
2021, 15(5) : 1051-1075 doi: 10.3934/ipi.2021028 +[Abstract](359) +[HTML](271) +[PDF](449.23KB)
A Bayesian level set method for an inverse medium scattering problem in acoustics
Jiangfeng Huang, Zhiliang Deng and Liwei Xu
2021, 15(5) : 1077-1097 doi: 10.3934/ipi.2021029 +[Abstract](388) +[HTML](154) +[PDF](2057.46KB)
Where Bayes tweaks Gauss: Conditionally Gaussian priors for stable multi-dipole estimation
Alessandro Viani, Gianvittorio Luria, Alberto Sorrentino and Harald Bornfleth
2021, 15(5) : 1099-1119 doi: 10.3934/ipi.2021030 +[Abstract](421) +[HTML](176) +[PDF](6969.92KB)
Velocity modeling based on Rayleigh wave dispersion curve and sparse optimization inversion
Yan Cui and Yanfei Wang
2021, 15(5) : 1121-1134 doi: 10.3934/ipi.2021031 +[Abstract](374) +[HTML](182) +[PDF](906.21KB)
Boundary determination of electromagnetic and Lamé parameters with corrupted data
Pedro Caro, Ru-Yu Lai, Yi-Hsuan Lin and Ting Zhou
2021, 15(5) : 1171-1198 doi: 10.3934/ipi.2021033 +[Abstract](348) +[HTML](160) +[PDF](428.83KB)
An efficient multi-grid method for TV minimization problems
Zhenwei Zhang, Xue Li, Yuping Duan, Ke Yin and Xue-Cheng Tai
2021, 15(5) : 1199-1221 doi: 10.3934/ipi.2021034 +[Abstract](415) +[HTML](199) +[PDF](10678.24KB)
Edge detection with mixed noise based on maximum a posteriori approach
Yuying Shi, Zijin Liu, Xiaoying Wang and Jinping Zhang
2021, 15(5) : 1223-1245 doi: 10.3934/ipi.2021035 +[Abstract](406) +[HTML](200) +[PDF](14069.12KB)
A linear sampling method for inverse acoustic scattering by a locally rough interface
Jianliang Li, Jiaqing Yang and Bo Zhang
2021, 15(5) : 1247-1267 doi: 10.3934/ipi.2021036 +[Abstract](416) +[HTML](175) +[PDF](857.4KB)
Inverse obstacle scattering for acoustic waves in the time domain
Lu Zhao, Heping Dong and Fuming Ma
2021, 15(5) : 1269-1286 doi: 10.3934/ipi.2021037 +[Abstract](486) +[HTML](283) +[PDF](460.67KB)
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](1389) +[HTML](664) +[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](1130) +[HTML](760) +[PDF](3273.78KB)
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](1569) +[HTML](692) +[PDF](2807.14KB)
An adaptive total variational despeckling model based on gray level indicator frame
Yu Zhang, Songsong Li, Zhichang Guo and Boying Wu
2020doi: 10.3934/ipi.2020068 +[Abstract](688) +[HTML](430) +[PDF](6138.82KB)
RWRM: Residual Wasserstein regularization model for image restoration
Ruiqiang He, Xiangchu Feng, Xiaolong Zhu, Hua Huang and Bingzhe Wei
2020doi: 10.3934/ipi.2020069 +[Abstract](844) +[HTML](427) +[PDF](7831.84KB)
Nonlocal latent low rank sparse representation for single image super resolution via self-similarity learning
Changming Song and Yun Wang
2021doi: 10.3934/ipi.2021017 +[Abstract](475) +[HTML](256) +[PDF](778.96KB)
A fast explicit diffusion algorithm of fractional order anisotropic diffusion for image denoising
Zhiguang Zhang, Qiang Liu and Tianling Gao
2021doi: 10.3934/ipi.2021018 +[Abstract](582) +[HTML](373) +[PDF](10235.83KB)
Limited-angle CT reconstruction with generalized shrinkage operators as regularizers
Xiaojuan Deng, Xing Zhao, Mengfei Li and Hongwei Li
2021doi: 10.3934/ipi.2021019 +[Abstract](588) +[HTML](259) +[PDF](1594.07KB)
3D Electrical Impedance Tomography reconstructions from simulated electrode data using direct inversion $ \mathbf{t}^{\rm{{\textbf{exp}}}} $ and Calderón methods
Sarah J. Hamilton, David Isaacson, Ville Kolehmainen, Peter A. Muller, Jussi Toivanen and Patrick F. Bray
2021doi: 10.3934/ipi.2021032 +[Abstract](478) +[HTML](252) +[PDF](17485.5KB)
A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem
Tianyu Yang and Yang Yang
2021doi: 10.3934/ipi.2021038 +[Abstract](422) +[HTML](185) +[PDF](4814.61KB)
Overcomplete representation in a hierarchical Bayesian framework
Monica Pragliola, Daniela Calvetti and Erkki Somersalo
2021doi: 10.3934/ipi.2021039 +[Abstract](332) +[HTML](155) +[PDF](5758.03KB)
Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates
Xinchi Huang and Atsushi Kawamoto
2021doi: 10.3934/ipi.2021040 +[Abstract](300) +[HTML](168) +[PDF](441.87KB)
A mathematical approach towards THz tomography for non-destructive imaging
Simon Hubmer, Alexander Ploier, Ronny Ramlau, Peter Fosodeder and Sandrine van Frank
2021doi: 10.3934/ipi.2021041 +[Abstract](326) +[HTML](156) +[PDF](14552.43KB)
On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
Tram Thi Ngoc Nguyen and Anne Wald
2021doi: 10.3934/ipi.2021042 +[Abstract](317) +[HTML](197) +[PDF](3365.58KB)
A mathematical perspective on radar interferometry
Mikhail Gilman and Semyon Tsynkov
2021doi: 10.3934/ipi.2021043 +[Abstract](216) +[HTML](133) +[PDF](2621.95KB)
Smoothing Newton method for $ \ell^0 $-$ \ell^2 $ regularized linear inverse problem
Peili Li, Xiliang Lu and Yunhai Xiao
2021doi: 10.3934/ipi.2021044 +[Abstract](202) +[HTML](167) +[PDF](1758.82KB)
Learning to scan: A deep reinforcement learning approach for personalized scanning in CT imaging
Ziju Shen, Yufei Wang, Dufan Wu, Xu Yang and Bin Dong
2021doi: 10.3934/ipi.2021045 +[Abstract](245) +[HTML](119) +[PDF](3679.75KB)
Identification and stability of small-sized dislocations using a direct algorithm
Batoul Abdelaziz, Abdellatif El Badia and Ahmad El Hajj
2021doi: 10.3934/ipi.2021046 +[Abstract](184) +[HTML](100) +[PDF](596.72KB)
Partial inversion of the 2D attenuated $ X $-ray transform with data on an arc
Hiroshi Fujiwara, Kamran Sadiq and Alexandru Tamasan
2021doi: 10.3934/ipi.2021047 +[Abstract](213) +[HTML](107) +[PDF](989.31KB)
Refined stability estimates in electrical impedance tomography with multi-layer structure
Haigang Li, Jenn-Nan Wang and Ling Wang
2021doi: 10.3934/ipi.2021048 +[Abstract](227) +[HTML](114) +[PDF](471.43KB)
Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation
María Ángeles García-Ferrero, Angkana Rüland and Wiktoria Zatoń
2021doi: 10.3934/ipi.2021049 +[Abstract](220) +[HTML](97) +[PDF](486.62KB)
Variational source conditions for inverse Robin and flux problems by partial measurements
De-Han Chen, Daijun Jiang, Irwin Yousept and Jun Zou
2021doi: 10.3934/ipi.2021050 +[Abstract](224) +[HTML](114) +[PDF](638.51KB)
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
Ru-Yu Lai and Laurel Ohm
2021doi: 10.3934/ipi.2021051 +[Abstract](214) +[HTML](115) +[PDF](335.21KB)
Fourier method for reconstructing elastic body force from the coupled-wave field
Xianchao Wang, Jiaqi Zhu, Minghui Song and Wei Wu
2021doi: 10.3934/ipi.2021052 +[Abstract](228) +[HTML](122) +[PDF](1871.66KB)
PCA reduced Gaussian mixture models with applications in superresolution
Johannes Hertrich, Dang-Phuong-Lan Nguyen, Jean-Francois Aujol, Dominique Bernard, Yannick Berthoumieu, Abdellatif Saadaldin and Gabriele Steidl
2021doi: 10.3934/ipi.2021053 +[Abstract](116) +[HTML](37) +[PDF](1552.86KB)
A fuzzy edge detector driven telegraph total variation model for image despeckling
Sudeb Majee, Subit K. Jain, Rajendra K. Ray and Ananta K. Majee
2021doi: 10.3934/ipi.2021054 +[Abstract](128) +[HTML](50) +[PDF](6234.94KB)
An inverse source problem for the stochastic wave equation
Xiaoli Feng, Meixia Zhao, Peijun Li and Xu Wang
2021doi: 10.3934/ipi.2021055 +[Abstract](140) +[HTML](47) +[PDF](476.05KB)
Small defects reconstruction in waveguides from multifrequency one-side scattering data
Éric Bonnetier, Angèle Niclas, Laurent Seppecher and Grégory Vial
2021doi: 10.3934/ipi.2021056 +[Abstract](112) +[HTML](50) +[PDF](833.47KB)
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](5981) +[PDF](1915.3KB) Cited By(170)
The interior transmission problem
David Colton, Lassi Päivärinta and John Sylvester
2007, 1(1) : 13-28 doi: 10.3934/ipi.2007.1.13 +[Abstract](4254) +[PDF](204.8KB) Cited By(145)
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](4930) +[PDF](922.2KB) Cited By(96)
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](4515) +[PDF](451.7KB) Cited By(89)
On the existence of transmission eigenvalues
Andreas Kirsch
2009, 3(2) : 155-172 doi: 10.3934/ipi.2009.3.155 +[Abstract](4105) +[PDF](214.7KB) Cited By(86)
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](5398) +[PDF](839.8KB) Cited By(84)
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](6240) +[PDF](2454.5KB) Cited By(76)
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](4482) +[PDF](270.3KB) Cited By(76)
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](4198) +[PDF](441.9KB) Cited By(66)
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](4245) +[PDF](156.4KB) Cited By(63)
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography
Helmut Harbrecht and Thorsten Hohage
2009, 3(2) : 353-371 doi: 10.3934/ipi.2009.3.353 +[Abstract](2948) +[PDF](902.3KB) PDF Downloads(4568)
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](1797) +[HTML](258) +[PDF](2876.37KB) PDF Downloads(652)
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](3901) +[HTML](415) +[PDF](1475.63KB) PDF Downloads(611)
Coordinate descent optimization for l1 minimization with application to compressed sensing; a greedy algorithm
Yingying Li and Stanley Osher
2009, 3(3) : 487-503 doi: 10.3934/ipi.2009.3.487 +[Abstract](3909) +[PDF](682.0KB) PDF Downloads(592)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](6762) +[HTML](412) +[PDF](3108.34KB) PDF Downloads(558)
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](5598) +[HTML](96) +[PDF](4112.8KB) PDF Downloads(553)
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
2020 doi: 10.3934/ipi.2020057 +[Abstract](1569) +[HTML](692) +[PDF](2807.14KB) PDF Downloads(477)
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](4908) +[HTML](1256) +[PDF](1075.82KB) PDF Downloads(446)
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](3921) +[PDF](866.5KB) PDF Downloads(423)
Iterative choice of the optimal regularization parameter in TV image restoration
Alina Toma, Bruno Sixou and Françoise Peyrin
2015, 9(4) : 1171-1191 doi: 10.3934/ipi.2015.9.1171 +[Abstract](3103) +[PDF](2108.1KB) PDF Downloads(416)

2020 Impact Factor: 1.639
5 Year Impact Factor: 1.720
2020 CiteScore: 2.6

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