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Inverse Problems & Imaging

August 2015 , Volume 9 , Issue 3

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Identifying defects in an unknown background using differential measurements
Lorenzo Audibert, Alexandre Girard and Houssem Haddar
2015, 9(3): 625-643 doi: 10.3934/ipi.2015.9.625 +[Abstract](989) +[PDF](722.8KB)
Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph
Sergei Avdonin and Jonathan Bell
2015, 9(3): 645-659 doi: 10.3934/ipi.2015.9.645 +[Abstract](1101) +[PDF](460.2KB)
Periodic spline-based frames for image restoration
Amir Averbuch, Pekka Neittaanmäki and Valery Zheludev
2015, 9(3): 661-707 doi: 10.3934/ipi.2015.9.661 +[Abstract](979) +[PDF](6445.8KB)
Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials
Eemeli Blåsten, Oleg Yu. Imanuvilov and Masahiro Yamamoto
2015, 9(3): 709-723 doi: 10.3934/ipi.2015.9.709 +[Abstract](1089) +[PDF](387.4KB)
The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions
Fioralba Cakoni, Shari Moskow and Scott Rome
2015, 9(3): 725-748 doi: 10.3934/ipi.2015.9.725 +[Abstract](787) +[PDF](416.5KB)
Artificial boundary conditions and domain truncation in electrical impedance tomography. Part I: Theory and preliminary results
Daniela Calvetti, Paul J. Hadwin, Janne M. J. Huttunen, David Isaacson, Jari P. Kaipio, Debra McGivney, Erkki Somersalo and Joseph Volzer
2015, 9(3): 749-766 doi: 10.3934/ipi.2015.9.749 +[Abstract](1068) +[PDF](1346.8KB)
Artificial boundary conditions and domain truncation in electrical impedance tomography. Part II: Stochastic extension of the boundary map
Daniela Calvetti, Paul J. Hadwin, Janne M. J. Huttunen, Jari P. Kaipio and Erkki Somersalo
2015, 9(3): 767-789 doi: 10.3934/ipi.2015.9.767 +[Abstract](1133) +[PDF](5596.0KB)
PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem
Lili Chang, Wei Gong, Guiquan Sun and Ningning Yan
2015, 9(3): 791-814 doi: 10.3934/ipi.2015.9.791 +[Abstract](1082) +[PDF](1237.4KB)
Nomonotone spectral gradient method for sparse recovery
Wanyou Cheng, Zixin Chen and Donghui Li
2015, 9(3): 815-833 doi: 10.3934/ipi.2015.9.815 +[Abstract](1184) +[PDF](533.7KB)
Point-wise behavior of the Geman--McClure and the Hebert--Leahy image restoration models
Petteri Harjulehto, Peter Hästö and Juha Tiirola
2015, 9(3): 835-851 doi: 10.3934/ipi.2015.9.835 +[Abstract](1324) +[PDF](410.5KB)
The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting
Moez Kallel, Maher Moakher and Anis Theljani
2015, 9(3): 853-874 doi: 10.3934/ipi.2015.9.853 +[Abstract](959) +[PDF](685.7KB)
A reweighted $l^2$ method for image restoration with Poisson and mixed Poisson-Gaussian noise
Jia Li, Zuowei Shen, Rujie Yin and Xiaoqun Zhang
2015, 9(3): 875-894 doi: 10.3934/ipi.2015.9.875 +[Abstract](1187) +[PDF](2103.0KB)
Oracle-type posterior contraction rates in Bayesian inverse problems
Kui Lin, Shuai Lu and Peter Mathé
2015, 9(3): 895-915 doi: 10.3934/ipi.2015.9.895 +[Abstract](1043) +[PDF](436.1KB)
Hyperspectral unmixing by the alternating direction method of multipliers
Russell E. Warren and Stanley J. Osher
2015, 9(3): 917-933 doi: 10.3934/ipi.2015.9.917 +[Abstract](1036) +[PDF](1867.5KB)

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