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 1930-8337

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Volume 16, 2022

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Call for Papers: Special Issue of IPI on “Helsinki Deblur Challenge 2021” (click to view details)
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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Reconstruction of singularities in two-dimensional quasi-linear biharmonic operator
Jaakko Kultima and Valery Serov
2022, 16(5) : 1047-1061 doi: 10.3934/ipi.2022011 +[Abstract](406) +[HTML](139) +[PDF](1339.8KB)
Recovering a bounded elastic body by electromagnetic far-field measurements
Tielei Zhu, Jiaqing Yang and Bo Zhang
2022, 16(5) : 1063-1083 doi: 10.3934/ipi.2022012 +[Abstract](404) +[HTML](145) +[PDF](430.96KB)
Photoacoustic tomography in attenuating media with partial data
Benjamin Palacios
2022, 16(5) : 1085-1111 doi: 10.3934/ipi.2022013 +[Abstract](393) +[HTML](256) +[PDF](1185.92KB)
Robust region-based active contour models via local statistical similarity and local similarity factor for intensity inhomogeneity and high noise image segmentation
Ibrar Hussain, Haider Ali, Muhammad Shahkar Khan, Sijie Niu and Lavdie Rada
2022, 16(5) : 1113-1136 doi: 10.3934/ipi.2022014 +[Abstract](366) +[HTML](171) +[PDF](3208.23KB)
Direct sampling methods for isotropic and anisotropic scatterers with point source measurements
Isaac Harris, Dinh-Liem Nguyen and Thi-Phong Nguyen
2022, 16(5) : 1137-1162 doi: 10.3934/ipi.2022015 +[Abstract](346) +[HTML](116) +[PDF](2299.56KB)
A Carleman estimate and an energy method for a first-order symmetric hyperbolic system
Giuseppe Floridia, Hiroshi Takase and Masahiro Yamamoto
2022, 16(5) : 1163-1178 doi: 10.3934/ipi.2022016 +[Abstract](447) +[HTML](116) +[PDF](326.18KB)
Using the Navier-Cauchy equation for motion estimation in dynamic imaging
Bernadette N. Hahn, Melina-Loren Kienle Garrido, Christian Klingenberg and Sandra Warnecke
2022, 16(5) : 1179-1198 doi: 10.3934/ipi.2022018 +[Abstract](527) +[HTML](109) +[PDF](610.77KB)
Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation
Xiaohua Jing and Masahiro Yamamoto
2022, 16(5) : 1199-1217 doi: 10.3934/ipi.2022019 +[Abstract](357) +[HTML](139) +[PDF](343.15KB)
Reconstruction of singular and degenerate inclusions in Calderón's problem
Henrik Garde and Nuutti Hyvönen
2022, 16(5) : 1219-1227 doi: 10.3934/ipi.2022021 +[Abstract](336) +[HTML](117) +[PDF](310.54KB)
Bayesian neural network priors for edge-preserving inversion
Chen Li, Matthew Dunlop and Georg Stadler
2022, 16(5) : 1229-1254 doi: 10.3934/ipi.2022022 +[Abstract](360) +[HTML](107) +[PDF](1467.49KB)
Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination
Pardeep Kumar and Manil T. Mohan
2022, 16(5) : 1255-1298 doi: 10.3934/ipi.2022024 +[Abstract](278) +[HTML](89) +[PDF](524.31KB)
A direct imaging method for the exterior and interior inverse scattering problems
Deyue Zhang, Yue Wu, Yinglin Wang and Yukun Guo
2022, 16(5) : 1299-1323 doi: 10.3934/ipi.2022025 +[Abstract](338) +[HTML](88) +[PDF](6843.24KB)
Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary
Ella Pavlechko and Teemu Saksala
2022, 16(5) : 1325-1357 doi: 10.3934/ipi.2022028 +[Abstract](205) +[HTML](78) +[PDF](433.12KB)
On multiple scattering in Compton scattering tomography and its impact on fan-beam CT
Lorenz Kuger and Gaël Rigaud
2022, 16(5) : 1359-1387 doi: 10.3934/ipi.2022029 +[Abstract](277) +[HTML](120) +[PDF](1798.14KB)
Source identification problems for abstract semilinear nonlocal differential equations
Nguyen Thi Van Anh and Bui Thi Hai Yen
2022, 16(5) : 1389-1428 doi: 10.3934/ipi.2022030 +[Abstract](328) +[HTML](77) +[PDF](449.89KB)
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen, Anders Sullivan and Lam Nguyen
2021doi: 10.3934/ipi.2021068 +[Abstract](824) +[HTML](412) +[PDF](1997.13KB)
A uniqueness theorem for inverse problems in quasilinear anisotropic media
Md. Ibrahim Kholil and Ziqi Sun
2022doi: 10.3934/ipi.2022008 +[Abstract](487) +[HTML](147) +[PDF](262.33KB)
Refined instability estimates for some inverse problems
Pu-Zhao Kow and Jenn-Nan Wang
2022doi: 10.3934/ipi.2022017 +[Abstract](470) +[HTML](99) +[PDF](394.7KB)
A spectral target signature for thin surfaces with higher order jump conditions
Fioralba Cakoni, Heejin Lee, Peter Monk and Yangwen Zhang
2022doi: 10.3934/ipi.2022020 +[Abstract](320) +[HTML](134) +[PDF](972.46KB)
Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries
Xinlin Cao, Huaian Diao, Hongyu Liu and Jun Zou
2022doi: 10.3934/ipi.2022023 +[Abstract](387) +[HTML](151) +[PDF](536.61KB)
Microlocal analysis of borehole seismic data
Raluca Felea, Romina Gaburro, Allan Greenleaf and Clifford Nolan
2022doi: 10.3934/ipi.2022026 +[Abstract](229) +[HTML](89) +[PDF](470.68KB)
Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions
Zhiyuan Li, Yikan Liu and Masahiro Yamamoto
2022doi: 10.3934/ipi.2022027 +[Abstract](219) +[HTML](69) +[PDF](370.97KB)
A non-convex PDE-constrained denoising model for impulse and Gaussian noise mixture reduction
Amine Laghrib, Lekbir Afraites, Aissam Hadri and Mourad Nachaoui
2022doi: 10.3934/ipi.2022031 +[Abstract](176) +[HTML](60) +[PDF](20498.53KB)
Monotonicity in inverse scattering for Maxwell's equations
Annalena Albicker and Roland Griesmaier
2022doi: 10.3934/ipi.2022032 +[Abstract](232) +[HTML](73) +[PDF](3039.62KB)
Multilevel Markov Chain Monte Carlo for Bayesian inverse problem for Navier-Stokes equation
Juntao Yang and Viet Ha Hoang
2022doi: 10.3934/ipi.2022033 +[Abstract](323) +[HTML](118) +[PDF](1212.05KB)
Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds
Lili Yan
2022doi: 10.3934/ipi.2022034 +[Abstract](157) +[HTML](72) +[PDF](416.6KB)
Morozov's discrepancy principle for $ \alpha\ell_1-\beta\ell_2 $ sparsity regularization
Liang Ding and Weimin Han
2022doi: 10.3934/ipi.2022035 +[Abstract](280) +[HTML](98) +[PDF](971.68KB)
The enclosure method for the detection of variable order in fractional diffusion equations
Masaru Ikehata and Yavar Kian
2022doi: 10.3934/ipi.2022036 +[Abstract](252) +[HTML](168) +[PDF](499.54KB)
Data-consistent neural networks for solving nonlinear inverse problems
Yoeri E. Boink, Markus Haltmeier, Sean Holman and Johannes Schwab
2022doi: 10.3934/ipi.2022037 +[Abstract](239) +[HTML](66) +[PDF](2909.85KB)
A colorization-based anisotropic variational model for vector-valued image compression
Yaqun Zhang, Wenjuan Yao, Zhichang Guo, Dazhi Zhang and Boying Wu
2022doi: 10.3934/ipi.2022038 +[Abstract](134) +[HTML](73) +[PDF](11166.81KB)
Inverse transmission eigenvalue problem for fixed angular momentum
Xin-Jian Xu, Chuan-Fu Yang and Xiao-Chuan Xu
2022doi: 10.3934/ipi.2022039 +[Abstract](140) +[HTML](123) +[PDF](320.55KB)
New notions and constructions of the boundary control method
M. I. Belishev
2022doi: 10.3934/ipi.2022040 +[Abstract](129) +[HTML](80) +[PDF](464.22KB)
Nonconvex model for mixing noise with fractional-order regularization
Shaowen Yan, Guoxi Ni and Tieyong Zeng
2022doi: 10.3934/ipi.2022041 +[Abstract](168) +[HTML](78) +[PDF](9714.99KB)
Approximation of the elastic Dirichlet-to-Neumann map
Georgi Vodev
2022doi: 10.3934/ipi.2022042 +[Abstract](90) +[HTML](39) +[PDF](376.39KB)
Variational image motion estimation by preconditioned dual optimization
Hongpeng Sun, Xuecheng Tai and Jing Yuan
2022doi: 10.3934/ipi.2022043 +[Abstract](92) +[HTML](102) +[PDF](3750.58KB)
Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary
Jason Curran, Romina Gaburro, Clifford Nolan and Erkki Somersalo
2022doi: 10.3934/ipi.2022044 +[Abstract](85) +[HTML](35) +[PDF](517.96KB)
Linearized inverse Schrödinger potential problem with partial data and its deep neural network inversion
Sen Zou, Shuai Lu and Boxi Xu
2022doi: 10.3934/ipi.2022045 +[Abstract](104) +[HTML](39) +[PDF](748.3KB)
Multi-target detection with rotations
Tamir Bendory, Ti-Yen Lan, Nicholas F. Marshall, Iris Rukshin and Amit Singer
2022doi: 10.3934/ipi.2022046 +[Abstract](41) +[HTML](17) +[PDF](669.2KB)
An efficient augmented Lagrangian method with semismooth Newton solver for total generalized variation
Hongpeng Sun
2022doi: 10.3934/ipi.2022047 +[Abstract](30) +[HTML](13) +[PDF](5792.46KB)
Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data
Jesse Railo and Philipp Zimmermann
2022doi: 10.3934/ipi.2022048 +[Abstract](57) +[HTML](11) +[PDF](389.76KB)
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](7369) +[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](5538) +[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](6088) +[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](5696) +[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](5290) +[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](7433) +[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](7650) +[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](5449) +[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](5570) +[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](5396) +[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](4085) +[PDF](902.3KB) PDF Downloads(4605)
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](5298) +[PDF](682.0KB) PDF Downloads(1156)
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
2021, 15(6) : 1333-1346 doi: 10.3934/ipi.2020057 +[Abstract](3280) +[HTML](1430) +[PDF](2745.15KB) PDF Downloads(1064)
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](2795) +[HTML](266) +[PDF](2876.37KB) PDF Downloads(1031)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](8331) +[HTML](423) +[PDF](3108.34KB) PDF Downloads(840)
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](7144) +[HTML](110) +[PDF](4112.8KB) PDF Downloads(799)
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](5461) +[HTML](429) +[PDF](1475.63KB) PDF Downloads(765)
Two-dimensional seismic data reconstruction using patch tensor completion
Qun Liu, Lihua Fu, Meng Zhang and Wanjuan Zhang
2020, 14(6) : 985-1000 doi: 10.3934/ipi.2020052 +[Abstract](2375) +[HTML](251) +[PDF](5409.15KB) PDF Downloads(668)
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](4094) +[PDF](2108.1KB) PDF Downloads(659)
Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
Lassi Roininen, Janne M. J. Huttunen and Sari Lasanen
2014, 8(2) : 561-586 doi: 10.3934/ipi.2014.8.561 +[Abstract](6349) +[PDF](2107.2KB) PDF Downloads(606)

2021 Impact Factor: 1.483
5 Year Impact Factor: 1.462
2021 CiteScore: 2.6

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