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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.

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

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A regularization operator for source identification for elliptic PDEs
Ole Løseth Elvetun and Bjørn Fredrik Nielsen
2021, 15(4) : 599-618 doi: 10.3934/ipi.2021006 +[Abstract](549) +[HTML](226) +[PDF](1303.7KB)
Cauchy problem of non-homogenous stochastic heat equation and application to inverse random source problem
Shuli Chen, Zewen Wang and Guolin Chen
2021, 15(4) : 619-639 doi: 10.3934/ipi.2021008 +[Abstract](446) +[HTML](189) +[PDF](932.57KB)
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
Giovanni Covi, Keijo Mönkkönen and Jesse Railo
2021, 15(4) : 641-681 doi: 10.3934/ipi.2021009 +[Abstract](442) +[HTML](188) +[PDF](579.63KB)
Bragg scattering tomography
James W. Webber and Eric L. Miller
2021, 15(4) : 683-721 doi: 10.3934/ipi.2021010 +[Abstract](413) +[HTML](203) +[PDF](1003.84KB)
Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification
Samuel Cogar
2021, 15(4) : 723-744 doi: 10.3934/ipi.2021011 +[Abstract](341) +[HTML](183) +[PDF](455.49KB)
A sampling type method in an electromagnetic waveguide
Shixu Meng
2021, 15(4) : 745-762 doi: 10.3934/ipi.2021012 +[Abstract](386) +[HTML](197) +[PDF](3332.76KB)
Synthetic-Aperture Radar image based positioning in GPS-denied environments using Deep Cosine Similarity Neural Networks
Seonho Park, Maciej Rysz, Kaitlin L. Fair and Panos M. Pardalos
2021, 15(4) : 763-785 doi: 10.3934/ipi.2021013 +[Abstract](421) +[HTML](260) +[PDF](10005.15KB)
Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications
Yixuan Yang, Yuchao Tang, Meng Wen and Tieyong Zeng
2021, 15(4) : 787-825 doi: 10.3934/ipi.2021014 +[Abstract](471) +[HTML](202) +[PDF](4059.99KB)
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](1118) +[HTML](556) +[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](869) +[HTML](640) +[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](1246) +[HTML](527) +[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](497) +[HTML](320) +[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](642) +[HTML](318) +[PDF](7831.84KB)
Large region inpainting by re-weighted regularized methods
Yiting Chen, Jia Li and Qingyun Yu
2021doi: 10.3934/ipi.2021015 +[Abstract](266) +[HTML](153) +[PDF](2701.09KB)
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
Yuan Gao, Guangzhen Jin and Jian-Guo Liu
2021doi: 10.3934/ipi.2021016 +[Abstract](562) +[HTML](173) +[PDF](7293.25KB)
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](263) +[HTML](155) +[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](307) +[HTML](235) +[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](363) +[HTML](158) +[PDF](1594.07KB)
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements
Barbara Kaltenbacher and William Rundell
2021doi: 10.3934/ipi.2021020 +[Abstract](360) +[HTML](177) +[PDF](436.77KB)
Quantum tomography and the quantum Radon transform
Alberto Ibort and Alberto López-Yela
2021doi: 10.3934/ipi.2021021 +[Abstract](343) +[HTML](163) +[PDF](641.84KB)
Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide
Yosra Soussi
2021doi: 10.3934/ipi.2021022 +[Abstract](327) +[HTML](130) +[PDF](345.77KB)
Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion
De-han Chen and Daijun jiang
2021doi: 10.3934/ipi.2021023 +[Abstract](255) +[HTML](131) +[PDF](382.9KB)
Near-field imaging for an obstacle above rough surfaces with limited aperture data
Lei Zhang and Luming Jia
2021doi: 10.3934/ipi.2021024 +[Abstract](248) +[HTML](129) +[PDF](1507.09KB)
A note on transmission eigenvalues in electromagnetic scattering theory
Fioralba Cakoni, Shixu Meng and Jingni Xiao
2021doi: 10.3934/ipi.2021025 +[Abstract](318) +[HTML](148) +[PDF](327.51KB)
Two-dimensional inverse scattering for quasi-linear biharmonic operator
Markus Harju, Jaakko Kultima, Valery Serov and Teemu Tyni
2021doi: 10.3934/ipi.2021026 +[Abstract](298) +[HTML](128) +[PDF](2541.24KB)
On Tikhonov-type regularization with approximated penalty terms
Andreas Neubauer
2021doi: 10.3934/ipi.2021027 +[Abstract](294) +[HTML](156) +[PDF](415.11KB)
Phase retrieval from Fourier measurements with masks
Huiping Li and Song Li
2021doi: 10.3934/ipi.2021028 +[Abstract](131) +[HTML](157) +[PDF](548.77KB)
A Bayesian level set method for an inverse medium scattering problem in acoustics
Jiangfeng Huang, Zhiliang Deng and Liwei Xu
2021doi: 10.3934/ipi.2021029 +[Abstract](151) +[HTML](60) +[PDF](2144.09KB)
Where Bayes tweaks Gauss: Conditionally Gaussian priors for stable multi-dipole estimation
Alessandro Viani, Gianvittorio Luria, Alberto Sorrentino and Harald Bornfleth
2021doi: 10.3934/ipi.2021030 +[Abstract](127) +[HTML](60) +[PDF](7033.07KB)
Velocity modeling based on Rayleigh wave dispersion curve and sparse optimization inversion
Yan Cui and Yanfei Wang
2021doi: 10.3934/ipi.2021031 +[Abstract](138) +[HTML](81) +[PDF](949.45KB)
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 Toivainen and Patrick F. Bray
2021doi: 10.3934/ipi.2021032 +[Abstract](173) +[HTML](120) +[PDF](17711.08KB)
Boundary determination of electromagnetic and Lamé parameters with corrupted data
Pedro Caro, Ru-Yu Lai, Yi-Hsuan Lin and Ting Zhou
2021doi: 10.3934/ipi.2021033 +[Abstract](128) +[HTML](60) +[PDF](510.98KB)
An efficient multi-grid method for TV minimization problems
Zhenwei Zhang, Xue Li, Yuping Duan, Ke Yin and Xue-Cheng Tai
2021doi: 10.3934/ipi.2021034 +[Abstract](163) +[HTML](90) +[PDF](10675.51KB)
Edge detection with mixed noise based on maximum a posteriori approach
Yuying Shi, Zijin Liu, Xiaoying Wang and Jinping Zhang
2021doi: 10.3934/ipi.2021035 +[Abstract](155) +[HTML](91) +[PDF](14066.23KB)
A linear sampling method for inverse acoustic scattering by a locally rough interface
Jianliang Li, Jiaqing Yang and Bo Zhang
2021doi: 10.3934/ipi.2021036 +[Abstract](178) +[HTML](77) +[PDF](854.42KB)
Inverse obstacle scattering for acoustic waves in the time domain
Lu Zhao, Heping Dong and Fuming Ma
2021doi: 10.3934/ipi.2021037 +[Abstract](178) +[HTML](143) +[PDF](458.07KB)
A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem
Tianyu Yang and Yang Yang
2021doi: 10.3934/ipi.2021038 +[Abstract](203) +[HTML](87) +[PDF](4814.61KB)
Overcomplete representation in a hierarchical Bayesian framework
Monica Pragliola, Daniela Calvetti and Erkki Somersalo
2021doi: 10.3934/ipi.2021039 +[Abstract](143) +[HTML](53) +[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](102) +[HTML](52) +[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](102) +[HTML](51) +[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](114) +[HTML](86) +[PDF](3365.58KB)
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](5636) +[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](3942) +[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](4626) +[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](4271) +[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](3844) +[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](4885) +[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](5917) +[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](4238) +[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](3906) +[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](3997) +[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](2669) +[PDF](902.3KB) PDF Downloads(4563)
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](3585) +[HTML](414) +[PDF](1475.63KB) PDF Downloads(563)
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](1492) +[HTML](256) +[PDF](2876.37KB) PDF Downloads(529)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](6361) +[HTML](412) +[PDF](3108.34KB) PDF Downloads(503)
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](5258) +[HTML](93) +[PDF](4112.8KB) PDF Downloads(481)
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](3666) +[PDF](682.0KB) PDF Downloads(420)
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](4601) +[HTML](1157) +[PDF](1075.82KB) PDF Downloads(414)
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](3589) +[PDF](866.5KB) PDF Downloads(391)
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](2749) +[HTML](184) +[PDF](340.84KB) PDF Downloads(379)
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, 0(0) : 0 doi: 10.3934/ipi.2020057 +[Abstract](1246) +[HTML](527) +[PDF](2807.14KB) PDF Downloads(371)

2019  Impact Factor: 1.373




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