Found 919 Documents (Results 1–100)
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations. (English) Zbl 07916270
Bayesian experimental design for head imaging by electrical impedance tomography. (English) Zbl 07906767
Identifying active anomalies in a multilayered medium by passive measurement in EIT. (English) Zbl 07906751
Estimating absorption and scattering in quantitative photoacoustic tomography with an adaptive Monte Carlo method for light transport. (English) Zbl 07901601
Imaging of atmospheric dispersion processes with differential absorption lidar. (English) Zbl 07896980
A framework for EIT models. (English) Zbl 07896895
A mixed finite element method for the forward problem of electrical impedance tomography with the shunt model. (English) Zbl 07890926
A high contrast and resolution reconstruction algorithm in quantitative photoacoustic tomography. (English) Zbl 07890899
Stability and statistical inversion of travel time tomography. (English) Zbl 07867346
Reviewer: Giovanni S. Alberti (Genova)
Uniqueness and numerical inversion in bioluminescence tomography with time-dependent boundary measurement. (English) Zbl 07867345
Reconstruction of the initial data from the trace of the solutions on an infinite time cylinder of damped wave equations. (English) Zbl 1542.35443
A boundary integral equation method for the complete electrode model in electrical impedance tomography with tests on experimental data. (English) Zbl 1541.65139
Comparison of two linearization-based methods for 3-D EIT reconstructions on a simulated chest. (English) Zbl 07847958
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics. (English) Zbl 1540.35468
Mathematical and numerical challenges in diffuse optical tomography inverse problems. (English) Zbl 07836664
Nonlinearity parameter imaging in the frequency domain. (English) Zbl 1535.35209
Reviewer: Giovanni S. Alberti (Genova)
An inversion scheme for elastic diffraction tomography based on mode separation. (English) Zbl 1537.35420
Reviewer: Sönke Hansen (Paderborn)
Imaging of nonlinear materials via the monotonicity principle. (English) Zbl 1534.35449
Reviewer: Giovanni S. Alberti (Genova)
Reconstruction of cracks in Calderón’s inverse conductivity problem using energy comparisons. (English) Zbl 1540.35466
Reviewer: Jonathan Rohleder (Stockholm)
Quantitative parameter reconstruction from optical coherence tomographic data. (English) Zbl 07790252
Regularized full waveform inversion for low frequency ultrasound tomography with a structural similarity EIT prior. (English) Zbl 1535.65176
MSC:
65M32
65M30
65K10
65J20
65M60
65M70
41A60
78A46
78A45
78A70
92C55
76Q05
76M21
35R30
35R25
35Q92
35Q60
A comparative study of two globally convergent numerical methods for acoustic tomography. (English) Zbl 07925137
Reconstruction of extended regions in EIT with a generalized Robin transmission condition. (English) Zbl 07918268
On the reconstruction of the absorption coefficient for the 2D acoustic system. (English) Zbl 07896839
A Radon type transform related to the Euler equations for ideal fluid. (English) Zbl 07896802
Reviewer: Ming Xu (Guangzhou)
Inverse problem for wave equation with polynomial nonlinearity. (Russian. English summary) Zbl 1542.35455
Sib. Zh. Ind. Mat. 26, No. 1, 142-149 (2023); translation in J. Appl. Ind. Math. 17, No. 1, 163-167 (2023).
Fourier diffraction theorem for the tensor fields. (English) Zbl 07790535
Appl. Math., Praha 68, No. 5, 559-570 (2023); erratum ibid. 69, No. 2, 287 (2024).
Edge detection from X-ray tomographic data for geometric image registration. (English) Zbl 1538.65317
Tensor tomography of the residual stress field in graded-index YAG’s single crystals. (English) Zbl 1528.35236
On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. (English) Zbl 1527.35494
On the electric impedance tomography problem for nonorientable surfaces with internal holes. (English. Russian original) Zbl 1527.35497
St. Petersbg. Math. J. 34, No. 5, 759-774 (2023); translation from Algebra Anal. 34, No. 5, 53-74 (2022).
Stability of determination of Riemann surface from its Dirichlet-to-Neumann map in terms of Teichmüller distance. (English) Zbl 1527.35496
Singular value decomposition of the wave forward operator with radial variable coefficients. (English) Zbl 1526.35229
Quantum information criteria for model selection in quantum state estimation. (English) Zbl 1533.81023
Large \(| k |\) behavior of complex geometric optics solutions to d-bar problems. (English) Zbl 1533.81106
Structural similarity driven joint reconstruction of conductivity and sound speed in EIT/UTT dual-modality tomography. (English) Zbl 1525.35252
Momentum ray transforms and a partial data inverse problem for a polyharmonic operator. (English) Zbl 1522.35574
A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem. (English) Zbl 07726077
Inverse problem for a nonlocal diffuse optical tomography equation. (English) Zbl 1537.35423
Reviewer: Tuhin Ghosh (Allahabad)
Damage mapping via electrical impedance tomography in complex AM shapes using mixed smoothness and Bayesian regularization. (English) Zbl 1539.74138
A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography. (English) Zbl 07715683
Stability and reconstruction of a special type of anisotropic conductivity in magneto-acoustic tomography with magnetic induction. (English) Zbl 1518.35668
An inverse problem for electrodynamic equations with nonlinear conductivity. (English. Russian original) Zbl 1518.35685
Dokl. Math. 107, No. 1, 53-56 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 65-68 (2023).
Series reversion for electrical impedance tomography with modeling errors. (English) Zbl 1527.65118
Reviewer: Petr Sváček (Praha)
State estimation approach to dual-modal imaging of two-phase flow based on electromagnetic flow tomography and electrical tomography. (English) Zbl 1518.35661
Immersed boundary method for the complete electrode model in electrical impedance tomography. (English) Zbl 07690223
A linearized integral equation reconstruction method of admittivity distributions using electrical impedance tomography. (English) Zbl 1521.35077
Towards to solution of the fractional Takagi-Taupin equations. The Green function method. (English) Zbl 1511.35338
Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness. (English) Zbl 07680912
Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 1-22 (2023).
Existence and uniqueness in anisotropic conductivity reconstruction with Faraday’s law. (English) Zbl 1512.35666
Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary. (English) Zbl 1514.35158
Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions. (English) Zbl 1512.35653
Parametric family of discrimination information in extended para-statistics of non-extensive systems. (English. Russian original) Zbl 1521.81041
Russ. Phys. J. 65, No. 10, 1692-1700 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 10, 79-85 (2022).
Imaging based on Compton scattering: model uncertainty and data-driven reconstruction methods. (English) Zbl 1507.35340
Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners. (English) Zbl 1507.35338
Geometric inverse problems. With emphasis on two dimensions. (English) Zbl 1519.35005
Cambridge Studies in Advanced Mathematics 204. Cambridge: Cambridge University Press (ISBN 978-1-316-51087-2/hbk; 978-1-00-903990-1/ebook). xxiv, 344 p. (2023).
Reviewer: Jiguang Sun (Houghton)
The problem of determining the coefficient for a nonlinear term of a quasi-linear wave equation. (Russian. English summary) Zbl 1526.35325
Sib. Zh. Ind. Mat. 25, No. 3, 154-169 (2022); translation in J. Appl. Ind. Math. 16, No. 3, 550-562 (2022).
Minimal object characterizations using harmonic generalized polarizability tensors and symmetry groups. (English) Zbl 1512.35668
Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings. (English) Zbl 1512.35662
An extrapolation method for improving the linearity of CT-values in X-ray pulsed tomography. (English) Zbl 1507.35135
Multidimensional inverse scattering for the Schrödinger equation. (English) Zbl 1505.35118
Cerejeiras, Paula (ed.) et al., Mathematical analysis, its applications and computation. ISAAC 2019. Selected papers based on the presentations at the 12th international congress, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 385, 75-98 (2022).
ADJUST: a dictionary-based joint reconstruction and unmixing method for spectral tomography. (English) Zbl 07611868
Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems. (English) Zbl 1501.35451
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed. (English) Zbl 1499.92043
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography. (English) Zbl 1513.65034
Analysis for full-field photoacoustic tomography with variable sound speed. (English) Zbl 1498.35623
Ray statement of the acoustic tomography problem. (English. Russian original) Zbl 1498.35624
Dokl. Math. 106, No. 1, 254-258 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 50-55 (2022).
Reconstruction of small and extended regions in EIT with a Robin transmission condition. (English) Zbl 1497.35514
Reconstruction of singular and degenerate inclusions in Calderón’s problem. (English) Zbl 1497.35513
An inverse problem for a semilinear wave equation. (English. Russian original) Zbl 1496.35455
Dokl. Math. 105, No. 3, 166-170 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 36-41 (2022).
Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto. (English) Zbl 1493.01039
An optimal Bayesian estimator for absorption coefficient in diffuse optical tomography. (English) Zbl 1497.35508
Unique continuation results for certain generalized ray transforms of symmetric tensor fields. (English) Zbl 1502.46028
Direct regularized reconstruction for the three-dimensional Calderón problem. (English) Zbl 1495.35212
A wavelet frame constrained total generalized variation model for imaging conductivity distribution. (English) Zbl 1494.78011
Uniqueness theorems for tomographic phase retrieval with few coded diffraction patterns. (English) Zbl 1527.78014
Machine learning enhanced electrical impedance tomography for 2D materials. (English) Zbl 1502.78019
Reviewer: Jiguang Sun (Houghton)
Photoacoustic inversion formulas using mixed data on finite time intervals. (English) Zbl 1494.35183
Lipschitz stability at the boundary for time-harmonic diffuse optical tomography. (English) Zbl 1497.35154
Calderón’s inverse problem with a finite number of measurements. II: independent data. (English) Zbl 1494.35179
Electrical impedance tomography using nonconforming mesh and posterior approximated regression. (Abstract of thesis). (English) Zbl 1496.62167
Mumford-Shah regularization in electrical impedance tomography with complete electrode model. (English) Zbl 1489.35307
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