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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.

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

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$ \chi^2 $ test for total variation regularization parameter selection
J. Mead
2020, 14(3) : 401-421 doi: 10.3934/ipi.2020019 +[Abstract](78) +[HTML](33) +[PDF](8427.6KB)
On range condition of the tensor x-ray transform in $ \mathbb R^n $
Aleksander Denisiuk
2020, 14(3) : 423-435 doi: 10.3934/ipi.2020020 +[Abstract](69) +[HTML](42) +[PDF](373.06KB)
Regularization of inverse problems via box constrained minimization
Philipp Hungerländer, Barbara Kaltenbacher and Franz Rendl
2020, 14(3) : 437-461 doi: 10.3934/ipi.2020021 +[Abstract](79) +[HTML](38) +[PDF](4927.89KB)
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics
Guanghui Hu and Yavar Kian
2020, 14(3) : 463-487 doi: 10.3934/ipi.2020022 +[Abstract](75) +[HTML](31) +[PDF](901.64KB)
Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency
Xiaoxu Xu, Bo Zhang and Haiwen Zhang
2020, 14(3) : 489-510 doi: 10.3934/ipi.2020023 +[Abstract](71) +[HTML](45) +[PDF](552.29KB)
Statistical characterization of scattering delay in synthetic aperture radar imaging
Mikhail Gilman and Semyon Tsynkov
2020, 14(3) : 511-533 doi: 10.3934/ipi.2020024 +[Abstract](60) +[HTML](34) +[PDF](3574.45KB)
Robust reconstruction of fluorescence molecular tomography with an optimized illumination pattern
Yan Liu, Wuwei Ren and Habib Ammari
2020, 14(3) : 535-568 doi: 10.3934/ipi.2020025 +[Abstract](103) +[HTML](49) +[PDF](4523.44KB)
Unique determinations in inverse scattering problems with phaseless near-field measurements
Deyue Zhang, Yukun Guo, Fenglin Sun and Hongyu Liu
2020, 14(3) : 569-582 doi: 10.3934/ipi.2020026 +[Abstract](78) +[HTML](64) +[PDF](391.26KB)
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](3977) +[PDF](1915.3KB) Cited By(111)
The interior transmission problem
David Colton, Lassi Päivärinta and John Sylvester
2007, 1(1) : 13-28 doi: 10.3934/ipi.2007.1.13 +[Abstract](2695) +[PDF](204.8KB) Cited By(106)
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](3213) +[PDF](922.2KB) Cited By(69)
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](3072) +[PDF](270.3KB) Cited By(59)
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](3025) +[PDF](451.7KB) Cited By(53)
On the existence of transmission eigenvalues
Andreas Kirsch
2009, 3(2) : 155-172 doi: 10.3934/ipi.2009.3.155 +[Abstract](2685) +[PDF](214.7KB) Cited By(51)
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](4343) +[PDF](2454.5KB) Cited By(48)
Non-local regularization of inverse problems
Gabriel Peyré, Sébastien Bougleux and Laurent Cohen
2011, 5(2) : 511-530 doi: 10.3934/ipi.2011.5.511 +[Abstract](3325) +[PDF](1841.8KB) Cited By(42)
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](2875) +[PDF](156.4KB) Cited By(41)
Photo-acoustic inversion in convex domains
Frank Natterer
2012, 6(2) : 315-320 doi: 10.3934/ipi.2012.6.315 +[Abstract](2324) +[PDF](238.1KB) Cited By(39)
Geometric mode decomposition
Siwei Yu, Jianwei Ma and Stanley Osher
2018, 12(4) : 831-852 doi: 10.3934/ipi.2018035 +[Abstract](4324) +[HTML](328) +[PDF](3108.34KB) PDF Downloads(237)
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](1111) +[HTML](330) +[PDF](1475.63KB) PDF Downloads(205)
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](2688) +[HTML](565) +[PDF](1075.82KB) PDF Downloads(197)
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](4924) +[HTML](362) +[PDF](659.55KB) PDF Downloads(180)
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](675) +[HTML](286) +[PDF](8363.67KB) PDF Downloads(178)
A variational model with fractional-order regularization term arising in registration of diffusion tensor image
Huan Han
2018, 12(6) : 1263-1291 doi: 10.3934/ipi.2018053 +[Abstract](3201) +[HTML](258) +[PDF](742.1KB) PDF Downloads(174)
Existence and convergence analysis of $\ell_{0}$ and $\ell_{2}$ regularizations for limited-angle CT reconstruction
Chengxiang Wang, Li Zeng, Wei Yu and Liwei Xu
2018, 12(3) : 545-572 doi: 10.3934/ipi.2018024 +[Abstract](4896) +[HTML](346) +[PDF](955.55KB) PDF Downloads(171)
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](1826) +[HTML](319) +[PDF](903.05KB) PDF Downloads(171)
Regularization of a backwards parabolic equation by fractional operators
Barbara Kaltenbacher and William Rundell
2019, 13(2) : 401-430 doi: 10.3934/ipi.2019020 +[Abstract](2681) +[HTML](376) +[PDF](566.78KB) PDF Downloads(166)
Electrical impedance tomography with multiplicative regularization
Ke Zhang, Maokun Li, Fan Yang, Shenheng Xu and Aria Abubakar
2019, 13(6) : 1139-1159 doi: 10.3934/ipi.2019051 +[Abstract](677) +[HTML](191) +[PDF](2919.0KB) PDF Downloads(164)

2018  Impact Factor: 1.469




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