Found 53 Documents (Results 1–53)
Variational regularization in inverse problems and machine learning. (English) Zbl 1526.65020
Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 253-275 (2023).
Semi-discrete Tikhonov regularization in RKHS with large randomly distributed noise. (English) Zbl 07749163
Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography. (English) Zbl 1525.44001
Reviewer: Fritz Keinert (Ames)
MSC:
44A12
A variational technique of mollification applied to backward heat conduction problems. (English) Zbl 1511.35009
Relation between Hardy components for locally supported vector fields on the sphere. (English) Zbl 1503.31007
On linear spline algorithms of computerized tomography in the space of \(n\)-orbits. (English) Zbl 1507.65303
Photoacoustic inversion formulas using mixed data on finite time intervals. (English) Zbl 1494.35183
Analysis of the inverse Born series: an approach through geometric function theory. (English) Zbl 1491.35459
Motion compensation strategies in tomography. (English) Zbl 1487.65135
Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 51-83 (2021).
The \(\mathrm{r}\)-\(\mathrm{d}\) class predictions in linear mixed models. (English) Zbl 1470.62106
3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction. (English) Zbl 1466.35372
Solving an inverse heat convection problem with an implicit forward operator by using a projected quasi-Newton method. (English) Zbl 1464.80016
Error analysis for filtered back projection reconstructions in Besov spaces. (English) Zbl 1458.94013
The taut string approach to statistical inverse problems: theory and applications. (English) Zbl 1451.60042
The method of approximate inverse for the Radon transform operator acting on functions and for the normal Radon transform operators acting on vector and symmetric 2-tensor fields in \(\mathbb R^3\). (Russian. English summary) Zbl 1461.44002
The method of approximate inverse in slice-by-slice vector tomography problems. (English) Zbl 07250785
Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part II. Cham: Springer. Lect. Notes Comput. Sci. 11974, 487-494 (2020).
MSC:
65-XX
Modified Radon transform inversion using moments. (English) Zbl 1451.44002
Reviewer: Upain Kumar Mandal (Dhanbad)
Algorithm for the reconstruction of dynamic objects in CT-scanning using optical flow. (English) Zbl 1423.68565
The method of approximate inverse for ray transform operators on two-dimensional symmetric \(m\)-tensor fields. (Russian, English) Zbl 1438.44003
Sib. Zh. Ind. Mat. 22, No. 1, 104-115 (2019); translation in J. Appl. Ind. Math. 13, No. 1, 157-167 (2019).
Error estimates and convergence rates for filtered back projection. (English) Zbl 1431.41009
Reviewer: Thomas Toulias (Athens)
Joint inversion of multiple observations. (English) Zbl 1407.86011
Freeden, Willi (ed.) et al., Handbook of mathematical geodesy. Functional analytic and potential theoretic methods. Cham: Birkhäuser. Geosyst. Math., 855-882 (2018).
A direct method for nonlinear ill-posed problems. (English) Zbl 1453.65125
Reviewer: Xiaolong Qin (Chengdu)
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. (English) Zbl 1404.86031
A modified Lavrentiev iterative regularization method for analytic continuation. (English) Zbl 1372.65088
Compton scattering tomography: feature reconstruction and rotation-free modality. (English) Zbl 1404.94005
Local regularization of linear inverse problems via variational filtering. (English) Zbl 1375.45001
Reviewer: Fritz Keinert (Ames)
Multi-domain regularization based computed tomography for high-speed rotation objects. (English) Zbl 1375.94028
Numerical rate function determination in partial differential equations modeling cell population dynamics. (English) Zbl 1377.65122
Reviewer: Ruxandra Stavre (Bucureşti)
Inverse design of anti-reflection coatings using the nonlinear approximate inverse. (English) Zbl 1342.65237
Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors. (English) Zbl 1329.35348
Approximate reconstruction from ray integrals of a function on a domain with low refraction. (Russian, English) Zbl 1340.65310
Sib. Zh. Ind. Mat. 17, No. 4, 48-59 (2014); translation in J. Appl. Ind. Math. 9, No. 1, 36-46 (2015).
Compact support FDK kernel reconstruction model base on approximate inverse. (English) Zbl 1264.65222
MSC:
65T60
Approximate inverse method for stable analytic continuation in a strip domain. (English) Zbl 1210.65070
Estimation of linear functionals from indirect noisy data without knowledge of the noise level. (English) Zbl 1204.86022
A regularized solution for the inverse conductivity problem using mollifiers. (English) Zbl 1189.65316
Reviewer: Robert Plato (Siegen)
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization. (English) Zbl 1183.41028
Filtered backprojection for thermoacoustic computed tomography in spherical geometry. (English) Zbl 1085.65092
Reviewer: Dinh Nho Hao (Hanoi)
A finite dimensional realization of the mollifier method for compact operator equations. (English) Zbl 1072.65075
Reviewer: Karel Najzar (Praha)
Finite dimensional realization of mollifier methods: a new stable approach. (English) Zbl 1076.65049
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Two approaches to the problem of defect correction in vector field tomography solving boundary value problems. (English) Zbl 1099.65101
Reviewer: Bui Doan Khanh (Paris)
The approximate inverse in action II: convergence and stability. (English) Zbl 1022.65066
Reviewer: R.S.Dahiya (Ames)
Approximate inverse meets local tomography. (English) Zbl 0966.65109
Reviewer: Josef Kofroň (Praha)
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