Found 190 Documents (Results 1–100)
The generalized Saint Venant operator and integral moment transforms. (English) Zbl 1516.44002
Reviewer: David Zarnadze (Tbilisi)
On multiple scattering in Compton scattering tomography and its impact on fan-beam CT. (English) Zbl 1503.65328
A fast averaged Kaczmarz iteration with convex penalty for inverse problems in Hilbert spaces. (English) Zbl 1492.65151
Unique continuation results for certain generalized ray transforms of symmetric tensor fields. (English) Zbl 1502.46028
Uniqueness theorems for tomographic phase retrieval with few coded diffraction patterns. (English) Zbl 1527.78014
Microlocal analysis of generalized Radon transforms from scattering tomography. (English) Zbl 1489.44004
Multiscale factorization of the wave equation with application to compressed sensing photoacoustic tomography. (English) Zbl 1476.45014
Near-field subsurface tomography and holography based on bistatic measurements with variable base. (English) Zbl 1478.78030
Bragg scattering tomography. (English) Zbl 1480.44005
Left-handed Lens tomography and holography. (English) Zbl 1469.78014
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. (English) Zbl 1433.78016
The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. (English) Zbl 1393.35286
Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging. (English) Zbl 1400.78016
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Compton scattering tomography: feature reconstruction and rotation-free modality. (English) Zbl 1404.94005
Multifrequency near-field acoustic tomography and holography of 3D subbottom inhomogeneities. (English) Zbl 1391.76691
A modified algebraic reconstruction technique taking refraction into account with an application in terahertz tomography. (English) Zbl 1398.65363
Reconstruction formula for photoacoustic tomography with cylindrical detectors. (English) Zbl 1398.35291
The Radon transform over cones with vertices on the sphere and orthogonal axes. (English) Zbl 1371.44001
Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D. (English) Zbl 1361.65104
Asymptotic decay under nonlinear and noncoercive dissipative effects for electrical conduction in biological tissues. (English) Zbl 1356.35044
Reviewer: Alain Brillard (Riedisheim)
The localized basis functions for scalar and vector 3D tomography and their ray transforms. (English) Zbl 1348.65178
Linear inverse problems and Tikhonov regularization. (English) Zbl 1367.65085
The Carus Mathematical Monographs 32. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-88385-141-8/hbk; 978-1-61444-029-1/ebook). xiii, 321 p. (2016).
Reviewer: Robert Plato (Siegen)
Stability estimates for the regularized inversion of the truncated Hilbert transform. (English) Zbl 1344.65120
Reviewer: Mahmoud Annaby (Giza)
A new projection-based iterative image reconstruction algorithm for dual-energy computed tomography. (English) Zbl 1341.92039
Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography. (English) Zbl 1416.65552
Convergence analysis of an accelerated expectation-maximization algorithm for ill-posed integral equations. (English) Zbl 1339.65250
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Inversion of the attenuated geodesic X-ray transform over functions and vector fields on simple surfaces. (English) Zbl 1515.35353
Reconstruction of the singular support of a tensor field given in a refracting medium by its ray transform. (Russian, English) Zbl 1349.53107
Sib. Zh. Ind. Mat. 18, No. 3, 11-25 (2015); translation in J. Appl. Ind. Math. 9, No. 4, 447-460 (2015).
Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. (English) Zbl 1346.65029
Bristol: IOP Publishing (ISBN 978-0-7503-1219-6/hbk; 978-0-7503-1218-9/ebook). not consecutively paged. (2015).
Reviewer: Bernd Hofmann (Chemnitz)
MSC:
65J22
65-02
47A52
65M32
00A71
62-07
35R30
45Q05
65J20
65J10
65J15
76Q05
78A40
86A05
92C55
62K99
A non-iterative method for the electrical impedance tomography based on joint sparse recovery. (English) Zbl 1319.35301
Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083
Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015).
Reviewer: Robert Plato (Siegen)
MSC:
65J22
65-01
65L08
65L09
65Z05
00A69
00A06
65R32
65R30
65R10
44A12
45B05
45D05
65T50
65J20
47A52
47J06
94A12
92C55
65M32
65N21
Nonlinear inversion from partial EIT data: computational experiments. (English) Zbl 1329.65259
Stefanov, Plamen (ed.) et al., Inverse problems and applications. Proceedings of two conferences in honour of Gunther Uhlmann’s 60th birthday, Irvine, CA, USA, June 18–22, 2012 and Hangzhou, China, September 17–21, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1079-7/pbk; 978-1-4704-1659-1/ebook). Contemporary Mathematics 615, 105-129 (2014).
Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary. (English. Russian original) Zbl 1332.78021
Comput. Math. Math. Phys. 54, No. 11, 1690-1699 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 11, 1756-1766 (2014).
An integrodifferential indicator for the problem of single beam tomography. (Russian, English) Zbl 1340.65331
Sib. Zh. Ind. Mat. 17, No. 2, 3-10 (2014); translation in J. Appl. Ind. Math. 8, No. 3, 301-306 (2014).
Bounds on the size of an inclusion using the translation method for two-dimensional complex conductivity. (English) Zbl 1311.65135
Reviewer: Gunther Schmidt (Berlin)
Reconstruction of dynamic objects with affine deformations in computerized tomography. (English) Zbl 1291.45015
Universal inversion formulas for recovering a function from spherical means. (English) Zbl 1292.44003
Reviewer: Denis Sidorov (Irkutsk)
Spectral analysis of the truncated Hilbert transform with overlap. (English) Zbl 1296.65184
Reviewer: Josef Kofroň (Praha)
On a nonlinear integral equation approach for the surface reconstruction in semi-infinite-layered domains. (English) Zbl 1281.65157
Seeing the invisible and Maxwell’s equations. (English) Zbl 1273.30037
Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, 269-284 (2013).
Bounds on the volume fractions of two materials in a three-dimensional body from boundary measurements by the translation method. (English) Zbl 1277.78026
Reviewer: Pierluigi Maponi (Camerino)
Equation of the first kind with respect to a measure on the sphere \(\mathbb S^{n-1}\). (Russian) Zbl 1265.44004
On instabilities in data assimilation algorithms. (English) Zbl 1269.65051
Reviewer: Zhen Mei (Toronto)
Convergence of a numerical solver for an \(\mathbb R\)-linear Beltrami equation. (English) Zbl 1245.65182
Reviewer: Seenith Sivasundaram (Daytona Beach)
Conductivity imaging with interior potential measurements. (English) Zbl 1237.78016
Reviewer: Dmitry Shepelsky (Kharkov)
An analytic reconstruction for the Compton scattering tomography in a plane. (English) Zbl 1235.78020
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Variable order spherical harmonic expansion scheme for the radiative transport equation using finite elements. (English) Zbl 1252.65215
Explicit characterization of the support of non-linear inclusions. (English) Zbl 1238.78011
Reviewer: Johannes Elschner (Berlin)
Wavelet-based multilevel methods for linear ill-posed problems. (English) Zbl 1232.65190
Reviewer: Bernd Hofmann (Chemnitz)
Linear inverse problems. The maximum entropy connection. With CD-ROM. (English) Zbl 1255.65110
Series on Advances in Mathematics for Applied Sciences 83. Hackensack, NJ: World Scientific (ISBN 978-981-4338-77-6/hbk; 978-981-4338-78-3/ebook). xxi, 326 p. (2011).
Reviewer: Robert Plato (Siegen)
Determining the chemical composition of an inhomogeneous body by multi-energy radiography. (Russian) Zbl 1240.92003
A visualization method for breast cancer detection using microwaves. (English) Zbl 1220.78051
Reviewer: Luisa Consiglieri (Reguengo)
Numerical treatment of the Mumford-Shah model for the inversion and segmentation of X-ray tomography data. (English) Zbl 1204.65148
A method for studying singular integral equations. (English. Russian original) Zbl 1253.45002
Sib. Math. J. 51, No. 5, 765-775 (2010); translation from Sib. Mat. Zh. 51, No. 5, 961-973 (2010).
The unknown boundary problem for singular integral equations. (English. Russian original) Zbl 1202.45011
Dokl. Math. 81, No. 2, 241-243 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 4, 439-442 (2010).
Discrete inverse problems. Insight and algorithms. (English) Zbl 1197.65054
Fundamentals of Algorithms 7. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-96-2/pbk; 978-0-89871-883-6/ebook). xii, 213 p. (2010).
Reviewer: Robert Plato (Siegen)
A regularized solution for the inverse conductivity problem using mollifiers. (English) Zbl 1189.65316
Reviewer: Robert Plato (Siegen)
Reconstruction algorithm for the linearized polarization tomography problem with incomplete data. (English) Zbl 1182.44003
Ammari, Habib (ed.) et al., Imaging microstructures. Mathematical and computational challenges. Proceedings of a research conference, Paris, France, June 18–20, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4745-9/pbk). Contemporary Mathematics 494, 137-159 (2009).
External sources of resonance type in X-ray tomography. (English) Zbl 1170.45005
Reviewer: Kun Soo Chang (Seoul)
Numerical implementation of a stepwise reconstruction algorithm for a problem of \(X\)-ray tomography. (Russian) Zbl 1224.65303
Quantitative object reconstruction using Abel transform X-ray tomography and mixed variable optimization. (English) Zbl 1177.65200
Combining image reconstruction and image analysis with an application to two-dimensional tomography. (English) Zbl 1177.65201
Non-linear integral equations for the complete electrode model in inverse impedance tomography. (English) Zbl 1151.45301
A special problem of integral geometry. (English. Russian original) Zbl 1171.53048
Dokl. Math. 76, No. 1, 483-485 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 415, No. 1, 7-9 (2007).
Reviewer: Paolo Dulio (Milano)
Structure properties of the cone beam tomography matrix in cylindrical coordinates. (English) Zbl 1144.65089
Reviewer: Willy Govaerts (Gent)
Passive gamma tomography reconstruction of layered structures in nuclear waste vaults. (English) Zbl 1110.65127
A numerical solution of diffraction problems for the radiation transport equation. (Russian. English summary) Zbl 1100.35103
Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods. (English) Zbl 1090.65146
1D inverse problem in diffusion based optical tomography using iteratively regularized Gauss–Newton algorithm. (English) Zbl 1061.65142
The inverse source problem based on the radiative transfer equation in optical molecular imaging. (English) Zbl 1061.65143
Approximation of the absorption coefficient for the radiation transport equation in a prescribed energy interval. (Russian) Zbl 1067.45006
Reviewer: N. I. Alexandrova (Novosibirsk)
Investigation of inverse and other nonclassical problems in the Russian far east. (English) Zbl 1038.45008
Hon, Yiu-Chung (ed.) et al., Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9–12, 2002. River Edge, NJ: World Scientific (ISBN 981-238-366-2/pbk). 13-25 (2003).
Reconstruction of the interface between media on the ground of tomography data. (Russian, English) Zbl 1073.92026
Zh. Vychisl. Mat. Mat. Fiz. 42, No. 10, 1542-1555 (2002); translation in Comput. Math. Math. Phys. 42, No. 10, 1482-1494 (2002).
Reviewer: Andrei Zemskov (Moskva)
Poorly visible media in X-ray tomography. (English) Zbl 1051.65128
Inverse and Ill-Posed Problems Series. Utrecht: VSP (ISBN 90-6764-374-2/hbk). iii, 293 p. (2002).
Reviewer: Bui Doan Khanh (Paris)
Transport equation and tomography. (English) Zbl 1042.45009
Inverse and Ill-Posed Problems Series. Utrecht: VSP (ISBN 90-6764-354-8/hbk). vi, 207 p. (2002).
Reviewer: Alfredo Lorenzi (Milano)
Tomographic reconstruction by maximum entropy in the mean: Unconstrained reconstructions. (English) Zbl 1029.65142
Reviewer: Zhang Wanguo (Shanghai)
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