# zbMATH — the first resource for mathematics

## Katsevich, Alexander I.

Compute Distance To:
 Author ID: katsevich.alexander-i Published as: Katsevich, Alexander; Katsevich, A. I.; Katsevich, A.; Katsevich, Alexander I.
 Documents Indexed: 70 Publications since 1992, including 1 Book
all top 5

#### Co-Authors

 32 single-authored 17 Ramm, Alexander G. 5 Bertola, Marco 5 Tovbis, Alexander 2 Alaifari, Rima 2 Defrise, Michel 2 Katsevich, Eugene 2 Schuster, Thomas 1 Al-Aifari, Reema 1 Blackstone, Elliot J. 1 Faber, Vance 1 Kapralov, Mikhail I. 1 Krylov, R. 1 Lauritsch, Guenter 1 Rothermel, Dimitri 1 Wang, Ge
all top 5

#### Serials

 15 Inverse Problems 8 SIAM Journal on Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 The Journal of Fourier Analysis and Applications 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics Letters 3 SIAM Journal on Imaging Sciences 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Mathematical and Computer Modelling 2 Panamerican Mathematical Journal 1 Communications on Pure and Applied Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Nachrichten 1 Proceedings of the Japan Academy. Series A 1 Acta Applicandae Mathematicae 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Analysis and Mathematical Physics
all top 5

#### Fields

 54 Integral transforms, operational calculus (44-XX) 39 Numerical analysis (65-XX) 35 Biology and other natural sciences (92-XX) 8 Information and communication theory, circuits (94-XX) 6 Partial differential equations (35-XX) 6 Operator theory (47-XX) 5 Integral equations (45-XX) 5 Statistics (62-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 291 times in 121 Documents Cited by Year
The Radon transform and local tomography. Zbl 0863.44001
Ramm, A. G.; Katsevich, A. I.
1996
Theoretically exact filtered backprojection-type inversion algorithm for spiral CT. Zbl 1017.65106
Katsevich, Alexander
2002
Local tomography for the limited-angle problem. Zbl 0894.65065
Katsevich, A. I.
1997
An accurate approximate algorithm for motion compensation in two-dimensional tomography. Zbl 1214.68465
Katsevich, A.
2010
Spectral analysis of the truncated Hilbert transform with overlap. Zbl 1296.65184
Al-Aifari, Reema; Katsevich, Alexander
2014
Finite Hilbert transform with incomplete data: null-space and singular values. Zbl 1259.44004
Katsevich, A.; Tovbis, A.
2012
New methods for finding values of the jumps of a function from its local tomographic data. Zbl 0840.65134
Katsevich, A. I.; Ramm, A. G.
1995
Improved cone beam local tomography. Zbl 1089.65132
Katsevich, Alexander
2006
Inversion of incomplete Radon transform. Zbl 0760.44001
Ramm, A. G.; Katsevich, A. I.
1992
An improved exact filtered backprojection algorithm for spiral computed tomography. Zbl 1051.92027
Katsevich, Alexander
2004
Singular value decomposition for the truncated Hilbert transform. II. Zbl 1375.44004
Katsevich, A.
2011
Local tomography and the motion estimation problem. Zbl 1220.65182
Katsevich, A.; Silver, M.; Zamyatin, A.
2011
Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap. Zbl 1322.65117
Alaifari, Rima; Defrise, Michel; Katsevich, Alexander
2015
Filtered back projection method for inversion of incomplete tomographic data. Zbl 0764.65080
Katsevich, A. I.; Ramm, A. G.
1992
Broken ray transform: inversion and a range condition. Zbl 1278.65193
Katsevich, A.; Krylov, R.
2013
Singular value decomposition for the truncated Hilbert transform. Zbl 1228.44008
Katsevich, A.
2010
Covariance matrix estimation for the cryo-EM heterogeneity problem. Zbl 1362.92036
Katsevich, E.; Katsevich, A.; Singer, A.
2015
Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach. Zbl 1348.44003
Bertola, Marco; Katsevich, Alexander; Tovbis, Alexander
2016
An exact inversion formula for cone beam vector tomography. Zbl 1273.45010
Katsevich, Alexander; Schuster, Thomas
2013
Stability of the interior problem with polynomial attenuation in the region of interest. Zbl 1241.92046
Katsevich, E.; Katsevich, A.; Wang, Ge
2012
A general scheme for constructing inversion algorithms for cone beam CT. Zbl 1079.44500
Katsevich, Alexander
2003
Range of the Radon transform on functions which do no decay fast at infinity. Zbl 0873.44001
Katsevich, Alexander I.
1997
Finding jumps of a function using local tomography. Zbl 0857.65141
Katsevich, A. I.; Ramm, A. G.
1996
Motion compensated local tomography. Zbl 1161.68826
Katsevich, A.
2008
New range theorems for the dual Radon transform. Zbl 1018.44006
Katsevich, Alexander
2001
Microlocal analysis of an FBP algorithm for truncated spiral cone beam data. Zbl 1161.44301
Katsevich, Alexander
2002
Asymptotics of PDO on discontinuous functions near singular support. Zbl 0835.35164
Katsevich, A. I.; Ramm, A. G.
1995
A local approach to resolution analysis of image reconstruction in tomography. Zbl 1376.44002
Katsevich, Alexander
2017
Filtered backprojection inversion of the cone beam transform for a general class of curves. Zbl 1144.65081
Katsevich, Alexander; Kapralov, Mikhail
2007
On Sobolev instability of the interior problem of tomography. Zbl 1381.44005
Bertola, M.; Katsevich, A.; Tovbis, A.
2016
Stability estimates for the regularized inversion of the truncated Hilbert transform. Zbl 1344.65120
Alaifari, Rima; Defrise, Michel; Katsevich, Alexander
2016
An inversion formula for the dual horocyclic Radon transform on the hyperbolic plane. Zbl 1074.44001
Katsevich, Alexander
2005
A method for finding discontinuities of functions from the tomographic data. Zbl 0816.65127
Katsevich, A. I.; Ramm, A. G.
1994
Local tomography for the generalized Radon transform. Zbl 0897.65084
Katsevich, Alexander I.
1997
Range theorems for the Radon transform and its dual. Zbl 0985.44004
Katsevich, Alexander
2001
Multidimensional algorithm for finding discontinuities of signals from noisy discrete data. Zbl 0785.93083
Katsevich, A. I.; Ramm, A. G.
1993
Nonparametric estimation of the singularities of a signal from noisy measurements. Zbl 0808.62039
Katsevich, A. I.; Ramm, A. G.
1994
Analysis of reconstruction from discrete Radon transform data in $$\mathbb{R}^3$$ when the function has jump discontinuities. Zbl 1431.44001
Katsevich, Alexander
2019
Local tomography with nonsmooth attenuation. II. Zbl 0981.44002
Katsevich, Alexander
1998
Some mathematical results in the theory of signal and image processing. Zbl 0876.60021
Katsevich, A. I.; Ramm, A. G.
1994
Local tomography with nonsmooth attenuation. Zbl 0924.35207
Katsevich, A. I.
1999
Consistency of a rank test against general alternatives of change points (surfaces) and continuous trend. Zbl 0834.62036
Katsevich, A. I.; Ramm, A. G.
1996
Pseudolocal tomography. Zbl 0853.44002
Katsevich, Alexander I.; Ramm, Alexander G.
1996
An improved exact inversion formula for solenoidal fields in cone beam vector tomography. Zbl 1370.65073
Katsevich, Alexander; Rothermel, Dimitri; Schuster, Thomas
2017
Diagonalization of the finite Hilbert transform on two adjacent intervals. Zbl 1355.44003
Katsevich, A.; Tovbis, A.
2016
Asymptotics of pseudodifferential operators acting on functions with corner singularities. Zbl 1025.47505
Katsevich, Alexander
1999
Cone beam local tomography. Zbl 0938.44003
Katsevich, Alexander
1999
Consistency of rank tests against some general alternatives. Zbl 0792.62044
Katsevich, A. I.; Ramm, A. G.
1993
Stability estimates for helical computer tomography. Zbl 1062.92044
Katsevich, Alexander
2005
Algorithm for recovering discontinuities of a function from its Radon transform. Zbl 0769.65096
Katsevich, A. I.
1992
Kernel estimation of the singularities of a signal. Zbl 0836.62027
Katsevich, Alexander I.
1995
Inversion of cone-beam data and helical tomography. Zbl 0848.44002
Faber, V.; Katsevich, A. I.; Ramm, A. G.
1996
Local reconstructions in exponential tomography. Zbl 0856.44003
Katsevich, A. I.
1996
Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform. Zbl 1446.44003
Katsevich, Alexander; Bertola, Marco; Tovbis, Alexander
2019
Inversion formulae for the cosh-weighted Hilbert transform. Zbl 1279.44003
Bertola, M.; Katsevich, A.; Tovbis, A.
2013
Analysis of reconstruction from discrete Radon transform data in $$\mathbb{R}^3$$ when the function has jump discontinuities. Zbl 1431.44001
Katsevich, Alexander
2019
Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform. Zbl 1446.44003
Katsevich, Alexander; Bertola, Marco; Tovbis, Alexander
2019
A local approach to resolution analysis of image reconstruction in tomography. Zbl 1376.44002
Katsevich, Alexander
2017
An improved exact inversion formula for solenoidal fields in cone beam vector tomography. Zbl 1370.65073
Katsevich, Alexander; Rothermel, Dimitri; Schuster, Thomas
2017
Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach. Zbl 1348.44003
Bertola, Marco; Katsevich, Alexander; Tovbis, Alexander
2016
On Sobolev instability of the interior problem of tomography. Zbl 1381.44005
Bertola, M.; Katsevich, A.; Tovbis, A.
2016
Stability estimates for the regularized inversion of the truncated Hilbert transform. Zbl 1344.65120
Alaifari, Rima; Defrise, Michel; Katsevich, Alexander
2016
Diagonalization of the finite Hilbert transform on two adjacent intervals. Zbl 1355.44003
Katsevich, A.; Tovbis, A.
2016
Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap. Zbl 1322.65117
Alaifari, Rima; Defrise, Michel; Katsevich, Alexander
2015
Covariance matrix estimation for the cryo-EM heterogeneity problem. Zbl 1362.92036
Katsevich, E.; Katsevich, A.; Singer, A.
2015
Spectral analysis of the truncated Hilbert transform with overlap. Zbl 1296.65184
Al-Aifari, Reema; Katsevich, Alexander
2014
Broken ray transform: inversion and a range condition. Zbl 1278.65193
Katsevich, A.; Krylov, R.
2013
An exact inversion formula for cone beam vector tomography. Zbl 1273.45010
Katsevich, Alexander; Schuster, Thomas
2013
Inversion formulae for the cosh-weighted Hilbert transform. Zbl 1279.44003
Bertola, M.; Katsevich, A.; Tovbis, A.
2013
Finite Hilbert transform with incomplete data: null-space and singular values. Zbl 1259.44004
Katsevich, A.; Tovbis, A.
2012
Stability of the interior problem with polynomial attenuation in the region of interest. Zbl 1241.92046
Katsevich, E.; Katsevich, A.; Wang, Ge
2012
Singular value decomposition for the truncated Hilbert transform. II. Zbl 1375.44004
Katsevich, A.
2011
Local tomography and the motion estimation problem. Zbl 1220.65182
Katsevich, A.; Silver, M.; Zamyatin, A.
2011
An accurate approximate algorithm for motion compensation in two-dimensional tomography. Zbl 1214.68465
Katsevich, A.
2010
Singular value decomposition for the truncated Hilbert transform. Zbl 1228.44008
Katsevich, A.
2010
Motion compensated local tomography. Zbl 1161.68826
Katsevich, A.
2008
Filtered backprojection inversion of the cone beam transform for a general class of curves. Zbl 1144.65081
Katsevich, Alexander; Kapralov, Mikhail
2007
Improved cone beam local tomography. Zbl 1089.65132
Katsevich, Alexander
2006
An inversion formula for the dual horocyclic Radon transform on the hyperbolic plane. Zbl 1074.44001
Katsevich, Alexander
2005
Stability estimates for helical computer tomography. Zbl 1062.92044
Katsevich, Alexander
2005
An improved exact filtered backprojection algorithm for spiral computed tomography. Zbl 1051.92027
Katsevich, Alexander
2004
A general scheme for constructing inversion algorithms for cone beam CT. Zbl 1079.44500
Katsevich, Alexander
2003
Theoretically exact filtered backprojection-type inversion algorithm for spiral CT. Zbl 1017.65106
Katsevich, Alexander
2002
Microlocal analysis of an FBP algorithm for truncated spiral cone beam data. Zbl 1161.44301
Katsevich, Alexander
2002
New range theorems for the dual Radon transform. Zbl 1018.44006
Katsevich, Alexander
2001
Range theorems for the Radon transform and its dual. Zbl 0985.44004
Katsevich, Alexander
2001
Local tomography with nonsmooth attenuation. Zbl 0924.35207
Katsevich, A. I.
1999
Asymptotics of pseudodifferential operators acting on functions with corner singularities. Zbl 1025.47505
Katsevich, Alexander
1999
Cone beam local tomography. Zbl 0938.44003
Katsevich, Alexander
1999
Local tomography with nonsmooth attenuation. II. Zbl 0981.44002
Katsevich, Alexander
1998
Local tomography for the limited-angle problem. Zbl 0894.65065
Katsevich, A. I.
1997
Range of the Radon transform on functions which do no decay fast at infinity. Zbl 0873.44001
Katsevich, Alexander I.
1997
Local tomography for the generalized Radon transform. Zbl 0897.65084
Katsevich, Alexander I.
1997
The Radon transform and local tomography. Zbl 0863.44001
Ramm, A. G.; Katsevich, A. I.
1996
Finding jumps of a function using local tomography. Zbl 0857.65141
Katsevich, A. I.; Ramm, A. G.
1996
Consistency of a rank test against general alternatives of change points (surfaces) and continuous trend. Zbl 0834.62036
Katsevich, A. I.; Ramm, A. G.
1996
Pseudolocal tomography. Zbl 0853.44002
Katsevich, Alexander I.; Ramm, Alexander G.
1996
Inversion of cone-beam data and helical tomography. Zbl 0848.44002
Faber, V.; Katsevich, A. I.; Ramm, A. G.
1996
Local reconstructions in exponential tomography. Zbl 0856.44003
Katsevich, A. I.
1996
New methods for finding values of the jumps of a function from its local tomographic data. Zbl 0840.65134
Katsevich, A. I.; Ramm, A. G.
1995
Asymptotics of PDO on discontinuous functions near singular support. Zbl 0835.35164
Katsevich, A. I.; Ramm, A. G.
1995
Kernel estimation of the singularities of a signal. Zbl 0836.62027
Katsevich, Alexander I.
1995
A method for finding discontinuities of functions from the tomographic data. Zbl 0816.65127
Katsevich, A. I.; Ramm, A. G.
1994
Nonparametric estimation of the singularities of a signal from noisy measurements. Zbl 0808.62039
Katsevich, A. I.; Ramm, A. G.
1994
Some mathematical results in the theory of signal and image processing. Zbl 0876.60021
Katsevich, A. I.; Ramm, A. G.
1994
Multidimensional algorithm for finding discontinuities of signals from noisy discrete data. Zbl 0785.93083
Katsevich, A. I.; Ramm, A. G.
1993
Consistency of rank tests against some general alternatives. Zbl 0792.62044
Katsevich, A. I.; Ramm, A. G.
1993
Inversion of incomplete Radon transform. Zbl 0760.44001
Ramm, A. G.; Katsevich, A. I.
1992
Filtered back projection method for inversion of incomplete tomographic data. Zbl 0764.65080
Katsevich, A. I.; Ramm, A. G.
1992
Algorithm for recovering discontinuities of a function from its Radon transform. Zbl 0769.65096
Katsevich, A. I.
1992
all top 5

#### Cited by 140 Authors

 20 Katsevich, Alexander I. 14 Ramm, Alexander G. 10 Quinto, Eric Todd 6 Rubin, Boris 5 Bertola, Marco 5 Krishnan, Venkateswaran P. 5 Mishra, Rohit Kumar 5 Tovbis, Alexander 4 Anikonov, Dmitriĭ Sergeevich 4 Frikel, Jürgen 3 Biermé, Hermine 2 Akel, Mohamed S. 2 Alabbad, Fatimah 2 Ambartsoumian, Gaik 2 Bartolucci, Francesca 2 De Mari, Filippo 2 De Vito, Ernesto 2 Estrada, Ricardo 2 Felea, Raluca 2 Jaming, Philippe 2 Kuchment, Peter A. 2 Liflyand, Elijah 2 Nolan, Clifford J. 2 Pozzi, Elodie 2 Romanov, Vladimir Gavrilovich 2 Rüland, Angkana 2 Sahoo, Suman Kumar 2 Saygili, Kemal 2 Terzioglu, Fatma 2 Zaslavsky, Alexander I. 1 Airapetyan, Ruben G. 1 Alaifari, Rima 1 Alberti, Giovanni S. 1 Albeverio, Sergio A. 1 Arnoux, T. 1 Arridge, Simon R. 1 Azencott, Robert 1 Barannyk, Lyudmyla L. 1 Bellet, Jean-Baptiste 1 Berginc, Gérard 1 Blackstone, Elliot J. 1 Bodmann, Bernhard G. 1 Borg, Leise 1 Boyanov, Borislav Dechev 1 Bray, William O. 1 Burger, Martin 1 Caro, Pedro 1 Chen, Chang-Pao 1 Chowdhury, Tasadduk 1 Coifman, Ronald Raphaël 1 Curbera, Guillermo P. 1 Defrise, Michel 1 Denisiuk, Aleksander 1 Derevtsov, Evgeny Yurievich 1 Estrade, Anne 1 Faridani, Adel 1 Franciosi, Patrick 1 García-Ferrero, Maria Ángeles 1 Gonzalez, Fulton B. 1 Grabovsky, Yury 1 Grafakos, Loukas 1 Grathwohl, Christine 1 Grigoryan, Artyom M. 1 Hahn, Bernadette Nadine 1 Han, Yoseob 1 Hass, Ryan 1 Helin, Tapio 1 Herman, Gabor T. 1 Hovsepyan, Narek 1 Hyde, Stephen T. 1 Ilmavirta, Joonas 1 Izen, Steven H. 1 Jebelli, Mohammad Javad Latifi 1 Jiang, Jun 1 Jørgensen, Jakob Sauer 1 Kak, Subhash C. 1 Ko, Seyoon 1 Konovalov, Victor N. 1 Konovalova, D. S. 1 Kujanpää, Antti 1 Kunstmann, Peer Christian 1 Kunyansky, Leonid A. 1 Labate, Demetrio 1 Lassas, Matti 1 Leblond, Juliette 1 Lee, Minji 1 Leviatan, Dany 1 Li, Qin 1 Liu, Baodong 1 Maass, Peter 1 Maiorov, Vitaly Evgen’evich 1 Maltseva, Svetlana Vasilevna 1 Mejjaoli, Hatem 1 Miller, Keith D. 1 Modersitzki, Jan 1 Mönkkönen, Keijo 1 Nakhman, A. D. 1 Neumayer, Sebastian 1 Novikov, Roman G. 1 Odone, Francesca ...and 40 more Authors
all top 5

#### Cited in 58 Serials

 11 Inverse Problems 9 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Analysis and Applications 5 The Journal of Fourier Analysis and Applications 5 SIAM Journal on Imaging Sciences 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Applied and Computational Harmonic Analysis 4 Doklady Mathematics 3 Journal of Approximation Theory 3 Proceedings of the American Mathematical Society 3 Mathematical and Computer Modelling 3 Inverse Problems and Imaging 2 Proceedings of the Japan Academy. Series A 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Applied Mathematics Letters 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Imaging and Vision 2 Journal of Inverse and Ill-Posed Problems 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Advances in Applied Probability 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Advances in Mathematics 1 Archiv der Mathematik 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Vietnam Journal of Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Fractional Calculus & Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Acta Numerica 1 GAMM-Mitteilungen 1 MathematicS In Action 1 Analysis and Mathematical Physics
all top 5

#### Cited in 36 Fields

 77 Integral transforms, operational calculus (44-XX) 36 Biology and other natural sciences (92-XX) 33 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 19 Information and communication theory, circuits (94-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Differential geometry (53-XX) 9 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)