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## Quinto, Eric Todd

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 Author ID: quinto.eric-todd Published as: Quinto, E. T.; Quinto, E. Todd; Quinto, Eric; Quinto, Eric Todd Homepage: http://equinto.math.tufts.edu/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 85 Publications since 1980, including 8 Books
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#### Co-Authors

 23 single-authored 8 Agranovsky, Mark L. 7 Grinberg, Eric Liviu 7 Krishnan, Venkateswaran P. 4 Ambartsoumian, Gaik 4 Felea, Raluca 4 Frikel, Jürgen 4 Gonzalez, Fulton B. 4 Louis, Alfred Karl 4 Rieder, Andreas 3 Boman, Jan 3 Burger, Martin 3 Grathwohl, Christine 3 Kuchment, Peter A. 3 Kunstmann, Peer Christian 3 Nolan, Clifford J. 2 Cormack, Allen M. 2 Hahn, Bernadette Nadine 2 Markoe, Andrew 2 Ólafsson, Gestur 2 Rullgård, Hans 2 Schuster, Thomas 2 Webber, James W. 1 Berhanu, Shiferaw 1 Borg, Leise 1 Börgers, Christoph 1 Cheney, Margaret 1 Christensen, Jens Gerlach 1 Ehrenpreis, Leon 1 Faridani, Adel 1 Farkas, Hershel M. 1 Globevnik, Josip 1 Hahn, Marjorie Green 1 Jiang, Ming 1 Jørgensen, Jakob Sauer 1 Jørgensen, Palle E. T. 1 Kawai, Takahiro 1 Klann, Esther 1 Knopp, Marvin Isadore 1 Larson, David Royal 1 Levinson, Howard W. 1 Massopust, Peter R. 1 Mendoza, Gerardo A. 1 Miller, Eric L. 1 Natterer, Frank 1 Öktem, Ozan 1 Ramlau, Ronny 1 Rubin, Boris 1 Shen, Li 1 Sternberg, Shlomo 1 Struppa, Daniele Carlo 1 Taylor, Alan M. 1 Wang, Shiqiang 1 Zhou, Yiying
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#### Serials

 10 Inverse Problems 6 Contemporary Mathematics 5 SIAM Journal on Mathematical Analysis 5 Inverse Problems and Imaging 4 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Oberwolfach Reports 4 SIAM Journal on Imaging Sciences 3 SIAM Journal on Applied Mathematics 2 Duke Mathematical Journal 2 IMRN. International Mathematics Research Notices 1 Israel Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Pacific Journal of Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Southwest Journal of Pure and Applied Mathematics 1 Proceedings of Symposia in Applied Mathematics
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#### Fields

 69 Integral transforms, operational calculus (44-XX) 30 Numerical analysis (65-XX) 27 Biology and other natural sciences (92-XX) 26 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 13 General and overarching topics; collections (00-XX) 9 Abstract harmonic analysis (43-XX) 8 Functional analysis (46-XX) 8 Information and communication theory, circuits (94-XX) 6 Differential geometry (53-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Integral equations (45-XX) 4 Geophysics (86-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

70 Publications have been cited 653 times in 314 Documents Cited by Year
Singularities of the X-ray transform and limited data tomography in $$\mathbb{R}^ 2$$ and $$\mathbb{R}^ 3$$. Zbl 0784.44002
Quinto, Eric Todd
1993
Injectivity sets for the Radon transform over circles and complete systems of radial functions. Zbl 0860.44002
Agranovsky, Mark L.; Quinto, Eric Todd
1996
Support theorems for real-analytic Radon transforms. Zbl 0645.44001
Boman, Jan; Quinto, Eric Todd
1987
The dependence of the generalized Radon transform on defining measures. Zbl 0471.58022
Quinto, Eric Todd
1980
Characterization and reduction of artifacts in limited angle tomography. Zbl 1284.92044
Frikel, Jürgen; Quinto, Eric Todd
2013
A Radon transform on spheres through the origin in $$\mathbb{R}^n$$ and applications to the Darboux equation. Zbl 0444.44003
Cormack, A. M.; Quinto, E. T.
1980
Null spaces and ranges for the classical and spherical Radon transforms. Zbl 0495.44003
Quinto, Eric Todd
1982
Artifacts in incomplete data tomography with applications to photoacoustic tomography and sonar. Zbl 1381.44006
Frikel, Jürgen; Quinto, Eric Todd
2015
Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform. Zbl 0569.44005
Quinto, Eric Todd
1983
The invertibility of rotation invariant Radon transforms. Zbl 0517.44009
Quinto, Eric Todd
1983
Range descriptions for the spherical mean Radon transform. Zbl 1132.44002
Agranovsky, Mark; Kuchment, Peter; Quinto, Eric Todd
2007
An introduction to $$X$$-ray tomography and Radon transforms. Zbl 1118.44002
Quinto, Eric Todd
2006
Local tomographic methods in sonar. Zbl 0966.65106
Louis, Alfred K.; Quinto, Eric Todd
2000
Support theorems for Radon transforms on real analytic line complexes in three-space. Zbl 0767.44001
Boman, Jan; Quinto, Eric Todd
1993
Local inversion of the sonar transform regularized by the approximate inverse. Zbl 1214.65066
Quinto, Eric Todd; Rieder, Andreas; Schuster, Thomas
2011
A class of singular Fourier integral operators in Synthetic Aperture Radar imaging. Zbl 1280.44002
Ambartsoumian, Gaik; Felea, Raluca; Krishnan, Venkateswaran P.; Nolan, Clifford; Quinto, Eric Todd
2013
Microlocal analysis in tomography. Zbl 1395.94042
Krishnan, Venkateswaran P.; Quinto, Eric Todd
2015
An elementary proof of local invertibility for generalized and attenuated Radon transforms. Zbl 0588.44005
Markoe, Andrew; Quinto, Eric Todd
1985
Pompeiu transforms on geodesic spheres in real analytic manifolds. Zbl 0791.58017
Quinto, Eric Todd
1993
Tomographic reconstructions from incomplete data - numerical inversion of the exterior Radon transform. Zbl 0663.65136
Quinto, Eric Todd
1988
Detectable singularities from dynamic Radon data. Zbl 1354.44001
Hahn, B. N.; Quinto, E. T.
2016
The microlocal properties of the local 3-D SPECT operator. Zbl 1235.44001
Felea, Raluca; Quinto, Eric Todd
2011
Exterior and limited-angle tomography in non-destructive evaluation. Zbl 0908.65125
Quinto, Eric Todd
1998
Wavelet methods for a weighted sparsity penalty for region of interest tomography. Zbl 1312.65213
Klann, Esther; Quinto, Eric Todd; Ramlau, Ronny
2015
Microlocal aspects of common offset synthetic aperture radar imaging. Zbl 1239.94010
Krishnan, Venkateswaran P.; Quinto, Eric Todd
2011
Geometry of stationary sets for the wave equation in $$\mathbb R^n$$: the case of finitely supported initial data. Zbl 1010.35001
Agranovsky, Mark L.; Quinto, Eric Todd
2001
Erratum: ”The invertibility of rotation invariant Radon transforms. Zbl 0517.44010
Quinto, Eric Todd
1983
Local tomography in electron microscopy. Zbl 1153.65121
Quinto, Eric Todd; Öktem, Ozan
2008
Support theorems for the spherical Radon transform on manifolds. Zbl 1125.44002
Quinto, Eric Todd
2006
Support theorems for Radon transforms on higher rank symmetric spaces. Zbl 0813.44002
Gonzalez, Fulton; Quinto, Eric Todd
1994
Real analytic Radon transforms on rank one symmetric spaces. Zbl 0762.44002
Quinto, Eric Todd
1993
Analyzing reconstruction artifacts from arbitrary incomplete X-ray CT data. Zbl 1439.44004
Borg, Leise; Frikel, Jürgen; Jørgensen, Jakob Sauer; Quinto, Eric Todd
2018
Limited data problems for the generalized Radon transform in $$\mathbb R^n$$. Zbl 1344.44002
Frikel, Jürgen; Quinto, Eric Todd
2016
Microlocal analysis of an ultrasound transform with circular source and receiver trajectories. Zbl 1288.44001
Ambartsoumian, G.; Boman, J.; Krishnan, V. P.; Quinto, E. T.
2013
Local singularity reconstruction from integrals over curves in $$\mathbb{R}^3$$. Zbl 1270.44005
Quinto, Eric Todd; Rullgård, Hans
2013
Microlocal analysis of elliptical Radon transforms with foci on a line. Zbl 1248.44002
Krishnan, Venkateswaran P.; Levinson, Howard; Quinto, Eric Todd
2012
Helgason’s support theorem and spherical Radon transforms. Zbl 1256.58006
Quinto, Eric Todd
2008
Local algorithms in exterior tomography. Zbl 1103.65134
Quinto, Eric Todd
2007
Injectivity sets for a Radon transform and complete systems of radial functions: An announcement. Zbl 0824.44003
Agranovsky, Mark L.; Quinto, Eric Todd
1994
Radon transforms on curves in the plane. Zbl 0819.44003
Quinto, Eric Todd
1994
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Zbl 1404.86031
Grathwohl, Christine; Kunstmann, Peer; Quinto, Eric Todd; Rieder, Andreas
2018
Common midpoint versus common offset acquisition geometry in seismic imaging. Zbl 1338.86013
Felea, Raluca; Krishnan, Venkateswaran P.; Nolan, Clifford J.; Quinto, Eric
2016
On a regularization scheme for linear operators in distribution spaces with an application to the spherical Radon transform. Zbl 1081.65122
Schuster, Thomas; Quinto, Eric Todd
2005
Morera theorems for complex manifolds. Zbl 0997.32007
Grinberg, Eric L.; Quinto, Eric Todd
2000
Radon transforms satisfying the Bolker assumption. Zbl 0823.44008
Quinto, Eric Todd
1994
Distances between measures from 1-dimensional projections as implied by continuity of the inverse Radon transform. Zbl 0555.28005
Hahn, Marjorie G.; Quinto, Eric Todd
1985
The Radon transform, inverse problems, and tomography. American Mathematical Society short course, Atlanta, GA, USA, January 3–4, 2005. Zbl 1085.44001
Ólafsson, Gestur (ed.); Quinto, Eric Todd (ed.)
2006
Zhou, Yiying; Quinto, Eric Todd
2000
Injectivity of the spherical mean operator and related problems. Zbl 0856.44004
Agranovsky, Mark L.; Quinto, Eric Todd
1996
Topological restrictions on double fibrations and Radon transforms. Zbl 0424.58010
Quinto, Eric Todd
1981
Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Zbl 1397.35007
Grathwohl, Christine; Kunstmann, Peer; Quinto, Eric Todd; Rieder, Andreas
2018
Stationary sets for the wave equation in crystallographic domains. Zbl 1029.35157
Agranovsky, Mark L.; Quinto, Eric Todd
2003
Analytic continuation of convex bodies and Funk’s characterization of the sphere. Zbl 1090.52004
Grinberg, Eric L.; Quinto, Eric Todd
2001
Tomography, impedance imaging, and integral geometry. 1993 AMS-SIAM summer seminar, June 7-18, 1993, Mount Holyoke College, South Hadley, MA,, USA. Zbl 0801.00052
Quinto, Eric Todd (ed.); Cheney, Margaret (ed.); Kuchment, Peter (ed.)
1994
A note on flat Radon transforms. Zbl 0785.44004
Quinto, Eric Todd
1992
The mathematics and physics of radiation dose planning using X-rays. Zbl 0727.92014
Cormack, A. M.; Quinto, E. T.
1991
Microlocal analysis of a Compton tomography problem. Zbl 07218330
Webber, James W.; Quinto, Eric Todd
2020
Simultaneous reconstruction and segmentation with the Mumford-Shah functional for electron tomography. Zbl 1408.94590
Shen, Li; Quinto, Eric Todd; Wang, Shiqiang; Jiang, Ming
2018
Singular FIOs in SAR imaging. II: Transmitter and receiver at different speeds. Zbl 1387.35651
Ambartsoumian, G.; Felea, R.; Krishnan, V. P.; Nolan, Clifford J.; Quinto, E. Todd
2018
Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086
Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan
2011
Local Sobolev estimates of a function by means of its Radon transform. Zbl 1252.44005
Rullgård, Hans; Quinto, Eric Todd
2010
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
Ólafsson, Gestur (ed.); Grinberg, Eric L. (ed.); Larson, David (ed.); Jorgensen, Palle E. T. (ed.); Massopust, Peter R. (ed.); Quinto, Eric Todd (ed.); Rubin, Boris (ed.)
2008
Remarks on stationary sets for the wave equation. Zbl 1107.35307
Agranovsky, Mark L.; Quinto, Eric Todd
2006
Mean value extension theorems and microlocal analysis. Zbl 1031.58011
Quinto, Eric Todd
2003
Radon transforms, differential equations, and microlocal analysis. Zbl 0989.44001
Quinto, Eric Todd
2001
Radon transforms and tomography. 2000 AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 18–22, 2000. Zbl 0970.00022
Quinto, Eric Todd (ed.); Ehrenpreis, Leon (ed.); Faridani, Adel (ed.); Gonzalez, Fulton (ed.); Grinberg, Eric (ed.)
2001
Geometry of stationary sets for the wave equation in $$\mathbb R^n$$. The case of finitely supported initial data: An announcement. Zbl 0988.35016
Agranovsky, Mark L.; Quinto, Eric Todd
2001
Morera theorems for spheres through a point in $$\mathbb{C}^n$$. Zbl 0954.32001
Grinberg, Eric Liviu; Quinto, Eric Todd
1999
Morera theorems via microlocal analysis. Zbl 0866.30031
Globevnik, Josip; Quinto, Eric Todd
1996
Computed tomography and rockets. Zbl 0798.65120
Quinto, Eric Todd
1991
Microlocal analysis of a Compton tomography problem. Zbl 07218330
Webber, James W.; Quinto, Eric Todd
2020
Analyzing reconstruction artifacts from arbitrary incomplete X-ray CT data. Zbl 1439.44004
Borg, Leise; Frikel, Jürgen; Jørgensen, Jakob Sauer; Quinto, Eric Todd
2018
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Zbl 1404.86031
Grathwohl, Christine; Kunstmann, Peer; Quinto, Eric Todd; Rieder, Andreas
2018
Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Zbl 1397.35007
Grathwohl, Christine; Kunstmann, Peer; Quinto, Eric Todd; Rieder, Andreas
2018
Simultaneous reconstruction and segmentation with the Mumford-Shah functional for electron tomography. Zbl 1408.94590
Shen, Li; Quinto, Eric Todd; Wang, Shiqiang; Jiang, Ming
2018
Singular FIOs in SAR imaging. II: Transmitter and receiver at different speeds. Zbl 1387.35651
Ambartsoumian, G.; Felea, R.; Krishnan, V. P.; Nolan, Clifford J.; Quinto, E. Todd
2018
Detectable singularities from dynamic Radon data. Zbl 1354.44001
Hahn, B. N.; Quinto, E. T.
2016
Limited data problems for the generalized Radon transform in $$\mathbb R^n$$. Zbl 1344.44002
Frikel, Jürgen; Quinto, Eric Todd
2016
Common midpoint versus common offset acquisition geometry in seismic imaging. Zbl 1338.86013
Felea, Raluca; Krishnan, Venkateswaran P.; Nolan, Clifford J.; Quinto, Eric
2016
Artifacts in incomplete data tomography with applications to photoacoustic tomography and sonar. Zbl 1381.44006
Frikel, Jürgen; Quinto, Eric Todd
2015
Microlocal analysis in tomography. Zbl 1395.94042
Krishnan, Venkateswaran P.; Quinto, Eric Todd
2015
Wavelet methods for a weighted sparsity penalty for region of interest tomography. Zbl 1312.65213
Klann, Esther; Quinto, Eric Todd; Ramlau, Ronny
2015
Characterization and reduction of artifacts in limited angle tomography. Zbl 1284.92044
Frikel, Jürgen; Quinto, Eric Todd
2013
A class of singular Fourier integral operators in Synthetic Aperture Radar imaging. Zbl 1280.44002
Ambartsoumian, Gaik; Felea, Raluca; Krishnan, Venkateswaran P.; Nolan, Clifford; Quinto, Eric Todd
2013
Microlocal analysis of an ultrasound transform with circular source and receiver trajectories. Zbl 1288.44001
Ambartsoumian, G.; Boman, J.; Krishnan, V. P.; Quinto, E. T.
2013
Local singularity reconstruction from integrals over curves in $$\mathbb{R}^3$$. Zbl 1270.44005
Quinto, Eric Todd; Rullgård, Hans
2013
Microlocal analysis of elliptical Radon transforms with foci on a line. Zbl 1248.44002
Krishnan, Venkateswaran P.; Levinson, Howard; Quinto, Eric Todd
2012
Local inversion of the sonar transform regularized by the approximate inverse. Zbl 1214.65066
Quinto, Eric Todd; Rieder, Andreas; Schuster, Thomas
2011
The microlocal properties of the local 3-D SPECT operator. Zbl 1235.44001
Felea, Raluca; Quinto, Eric Todd
2011
Microlocal aspects of common offset synthetic aperture radar imaging. Zbl 1239.94010
Krishnan, Venkateswaran P.; Quinto, Eric Todd
2011
Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086
Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan
2011
Local Sobolev estimates of a function by means of its Radon transform. Zbl 1252.44005
Rullgård, Hans; Quinto, Eric Todd
2010
Local tomography in electron microscopy. Zbl 1153.65121
Quinto, Eric Todd; Öktem, Ozan
2008
Helgason’s support theorem and spherical Radon transforms. Zbl 1256.58006
Quinto, Eric Todd
2008
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
Ólafsson, Gestur (ed.); Grinberg, Eric L. (ed.); Larson, David (ed.); Jorgensen, Palle E. T. (ed.); Massopust, Peter R. (ed.); Quinto, Eric Todd (ed.); Rubin, Boris (ed.)
2008
Range descriptions for the spherical mean Radon transform. Zbl 1132.44002
Agranovsky, Mark; Kuchment, Peter; Quinto, Eric Todd
2007
Local algorithms in exterior tomography. Zbl 1103.65134
Quinto, Eric Todd
2007
An introduction to $$X$$-ray tomography and Radon transforms. Zbl 1118.44002
Quinto, Eric Todd
2006
Support theorems for the spherical Radon transform on manifolds. Zbl 1125.44002
Quinto, Eric Todd
2006
The Radon transform, inverse problems, and tomography. American Mathematical Society short course, Atlanta, GA, USA, January 3–4, 2005. Zbl 1085.44001
Ólafsson, Gestur (ed.); Quinto, Eric Todd (ed.)
2006
Remarks on stationary sets for the wave equation. Zbl 1107.35307
Agranovsky, Mark L.; Quinto, Eric Todd
2006
On a regularization scheme for linear operators in distribution spaces with an application to the spherical Radon transform. Zbl 1081.65122
Schuster, Thomas; Quinto, Eric Todd
2005
Stationary sets for the wave equation in crystallographic domains. Zbl 1029.35157
Agranovsky, Mark L.; Quinto, Eric Todd
2003
Mean value extension theorems and microlocal analysis. Zbl 1031.58011
Quinto, Eric Todd
2003
Geometry of stationary sets for the wave equation in $$\mathbb R^n$$: the case of finitely supported initial data. Zbl 1010.35001
Agranovsky, Mark L.; Quinto, Eric Todd
2001
Analytic continuation of convex bodies and Funk’s characterization of the sphere. Zbl 1090.52004
Grinberg, Eric L.; Quinto, Eric Todd
2001
Radon transforms, differential equations, and microlocal analysis. Zbl 0989.44001
Quinto, Eric Todd
2001
Radon transforms and tomography. 2000 AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 18–22, 2000. Zbl 0970.00022
Quinto, Eric Todd (ed.); Ehrenpreis, Leon (ed.); Faridani, Adel (ed.); Gonzalez, Fulton (ed.); Grinberg, Eric (ed.)
2001
Geometry of stationary sets for the wave equation in $$\mathbb R^n$$. The case of finitely supported initial data: An announcement. Zbl 0988.35016
Agranovsky, Mark L.; Quinto, Eric Todd
2001
Local tomographic methods in sonar. Zbl 0966.65106
Louis, Alfred K.; Quinto, Eric Todd
2000
Morera theorems for complex manifolds. Zbl 0997.32007
Grinberg, Eric L.; Quinto, Eric Todd
2000
Zhou, Yiying; Quinto, Eric Todd
2000
Morera theorems for spheres through a point in $$\mathbb{C}^n$$. Zbl 0954.32001
Grinberg, Eric Liviu; Quinto, Eric Todd
1999
Exterior and limited-angle tomography in non-destructive evaluation. Zbl 0908.65125
Quinto, Eric Todd
1998
Injectivity sets for the Radon transform over circles and complete systems of radial functions. Zbl 0860.44002
Agranovsky, Mark L.; Quinto, Eric Todd
1996
Injectivity of the spherical mean operator and related problems. Zbl 0856.44004
Agranovsky, Mark L.; Quinto, Eric Todd
1996
Morera theorems via microlocal analysis. Zbl 0866.30031
Globevnik, Josip; Quinto, Eric Todd
1996
Support theorems for Radon transforms on higher rank symmetric spaces. Zbl 0813.44002
Gonzalez, Fulton; Quinto, Eric Todd
1994
Injectivity sets for a Radon transform and complete systems of radial functions: An announcement. Zbl 0824.44003
Agranovsky, Mark L.; Quinto, Eric Todd
1994
Radon transforms on curves in the plane. Zbl 0819.44003
Quinto, Eric Todd
1994
Radon transforms satisfying the Bolker assumption. Zbl 0823.44008
Quinto, Eric Todd
1994
Tomography, impedance imaging, and integral geometry. 1993 AMS-SIAM summer seminar, June 7-18, 1993, Mount Holyoke College, South Hadley, MA,, USA. Zbl 0801.00052
Quinto, Eric Todd (ed.); Cheney, Margaret (ed.); Kuchment, Peter (ed.)
1994
Singularities of the X-ray transform and limited data tomography in $$\mathbb{R}^ 2$$ and $$\mathbb{R}^ 3$$. Zbl 0784.44002
Quinto, Eric Todd
1993
Support theorems for Radon transforms on real analytic line complexes in three-space. Zbl 0767.44001
Boman, Jan; Quinto, Eric Todd
1993
Pompeiu transforms on geodesic spheres in real analytic manifolds. Zbl 0791.58017
Quinto, Eric Todd
1993
Real analytic Radon transforms on rank one symmetric spaces. Zbl 0762.44002
Quinto, Eric Todd
1993
A note on flat Radon transforms. Zbl 0785.44004
Quinto, Eric Todd
1992
The mathematics and physics of radiation dose planning using X-rays. Zbl 0727.92014
Cormack, A. M.; Quinto, E. T.
1991
Computed tomography and rockets. Zbl 0798.65120
Quinto, Eric Todd
1991
Tomographic reconstructions from incomplete data - numerical inversion of the exterior Radon transform. Zbl 0663.65136
Quinto, Eric Todd
1988
Support theorems for real-analytic Radon transforms. Zbl 0645.44001
Boman, Jan; Quinto, Eric Todd
1987
An elementary proof of local invertibility for generalized and attenuated Radon transforms. Zbl 0588.44005
Markoe, Andrew; Quinto, Eric Todd
1985
Distances between measures from 1-dimensional projections as implied by continuity of the inverse Radon transform. Zbl 0555.28005
Hahn, Marjorie G.; Quinto, Eric Todd
1985
Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform. Zbl 0569.44005
Quinto, Eric Todd
1983
The invertibility of rotation invariant Radon transforms. Zbl 0517.44009
Quinto, Eric Todd
1983
Erratum: ”The invertibility of rotation invariant Radon transforms. Zbl 0517.44010
Quinto, Eric Todd
1983
Null spaces and ranges for the classical and spherical Radon transforms. Zbl 0495.44003
Quinto, Eric Todd
1982
Topological restrictions on double fibrations and Radon transforms. Zbl 0424.58010
Quinto, Eric Todd
1981
The dependence of the generalized Radon transform on defining measures. Zbl 0471.58022
Quinto, Eric Todd
1980
A Radon transform on spheres through the origin in $$\mathbb{R}^n$$ and applications to the Darboux equation. Zbl 0444.44003
Cormack, A. M.; Quinto, E. T.
1980
all top 5

#### Cited by 333 Authors

 32 Quinto, Eric Todd 15 Haltmeier, Markus 13 Moon, Sunghwan 11 Rubin, Boris 10 Stefanov, Plamen D. 10 Uhlmann, Gunther Alberto 9 Katsevich, Alexander I. 9 Volchkov, Vitaliĭ Vladimirovich 8 Krishnan, Venkateswaran P. 7 Ambartsoumian, Gaik 7 Volchkov, Valeriĭ Vladimirovich 7 Wang, Chengxiang 7 Zeng, Li 6 Agranovsky, Mark L. 6 Frikel, Jürgen 6 Globevnik, Josip 6 Kuchment, Peter A. 6 Kurusa, Árpád 6 Nguyen Viet Linh 6 Ramm, Alexander G. 5 Berenstein, Carlos Alberto 5 Guo, Yumeng 5 Kunyansky, Leonid A. 5 Lassas, Matti 5 Scherzer, Otmar 4 Boman, Jan 4 Bubba, Tatiana A. 4 Estrada, Ricardo 4 Felea, Raluca 4 Gonzalez, Fulton B. 4 Hertle, Alexander 4 Ilmavirta, Joonas 4 Nguyen, Linh Viet 4 Novikov, Roman G. 4 Rawat, Rama 4 Render, Hermann 4 Salman, Yehonatan 4 Webber, James W. 4 Zhang, Lingli 3 Dos Santos Ferreira, David 3 Gay, Roger 3 Grathwohl, Christine 3 Hahn, Bernadette Nadine 3 Kunstmann, Peer Christian 3 Labate, Demetrio 3 Mishra, Rohit Kumar 3 Nolan, Clifford J. 3 Öktem, Ozan 3 Palamodov, Victor Pavlovitch 3 Quellmalz, Michael 3 Ray, Swagato K. 3 Rieder, Andreas 3 Savost’yanova, Irina Mikhaĭlovna 3 Shestakov, O. V. 3 Srivastava, Rajesh Kumar 3 Yu, Wei 2 Abhishek, Anuj 2 Aramyan, Rafik H. 2 Arridge, Simon R. 2 Bergounioux, Maïtine 2 Bodmann, Bernhard G. 2 Bonettini, Silvia 2 Caro, Pedro 2 Cormack, Allen M. 2 Demchenko, Maxim Nikolaevich 2 Derevtsov, Evgeny Yurievich 2 Dong, Yiqiu 2 Goncharov, Alexander Borisovich 2 Goncharov, Fedor O. 2 Greenleaf, Allan 2 Hansen, Anders C. 2 Hansen, Per Christian 2 Hubenthal, Mark 2 Jiang, Ming 2 Kumar, Ashisha 2 Kutyniok, Gitta 2 Louis, Alfred Karl 2 Maiorov, Vitaly E. 2 Miller, Eric L. 2 Mnatsakanov, Robert M. 2 Narayanan, E. K. 2 Nguyen, Maï Khuong 2 Noda, Akio 2 Päivärinta, Lassi 2 Pereverzyev, Sergiy jun. 2 Rabieniaharatbar, Siamak 2 Railo, Jesse 2 Ramlau, Ronny 2 Ren, Kui 2 Rigaud, Gaël 2 Roy, Souvik 2 Ruiz, Alberto 2 Schiefeneder, Daniela 2 Siltanen, Samuli 2 Srivastava, Ravi K. 2 Thangavelu, Sundaram 2 Thesing, Laura 2 Vasy, András 2 Zanghirati, Gaetano 2 Zaslavsky, Alexander I. ...and 233 more Authors
all top 5

#### Cited in 97 Serials

 36 Inverse Problems 22 Journal of Mathematical Analysis and Applications 16 Inverse Problems and Imaging 14 The Journal of Fourier Analysis and Applications 14 SIAM Journal on Imaging Sciences 11 Journal of Inverse and Ill-Posed Problems 10 Journal d’Analyse Mathématique 10 Proceedings of the American Mathematical Society 9 SIAM Journal on Mathematical Analysis 8 Transactions of the American Mathematical Society 8 The Journal of Geometric Analysis 7 Journal of Functional Analysis 7 Analysis and Mathematical Physics 6 Duke Mathematical Journal 5 Communications in Mathematical Physics 5 Israel Journal of Mathematics 5 SIAM Journal on Applied Mathematics 4 Inverse Problems in Science and Engineering 3 Computers & Mathematics with Applications 3 Advances in Mathematics 3 Journal of Differential Equations 3 Mathematische Zeitschrift 3 Moscow University Computational Mathematics and Cybernetics 3 European Journal of Applied Mathematics 3 Applied Mathematical Modelling 3 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Sciences (New York) 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Constructive Approximation 2 Applied Mathematics Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Mathematical Imaging and Vision 2 St. Petersburg Mathematical Journal 2 Doklady Mathematics 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Wave Motion 1 Arkiv för Matematik 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT 1 Calcolo 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Proceedings of the Japan Academy. Series A 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Aequationes Mathematicae 1 Pattern Recognition 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Acta Mathematica Sinica. English Series 1 Optimization and Engineering 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Sampling Theory in Signal and Image Processing 1 Analysis in Theory and Applications 1 Acta Numerica 1 Proceedings of the Steklov Institute of Mathematics 1 Electronic Journal of Statistics 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE 1 Advances in Mathematical Physics 1 MathematicS In Action 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 SIAM/ASA Journal on Uncertainty Quantification 1 SN Partial Differential Equations and Applications
all top 5

#### Cited in 46 Fields

 181 Integral transforms, operational calculus (44-XX) 82 Numerical analysis (65-XX) 71 Partial differential equations (35-XX) 66 Biology and other natural sciences (92-XX) 50 Information and communication theory, circuits (94-XX) 47 Differential geometry (53-XX) 31 Abstract harmonic analysis (43-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 22 Functional analysis (46-XX) 22 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Integral equations (45-XX) 11 Potential theory (31-XX) 11 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 9 Operations research, mathematical programming (90-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistics (62-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 5 Geophysics (86-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)