Jeon, Gihyeon; Moon, Sunghwan Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle. (English) Zbl 1496.44001 Integral Transforms Spec. Funct. 32, No. 10, 812-822 (2021). Reviewer: Fritz Keinert (Ames) MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{G. Jeon} and \textit{S. Moon}, Integral Transforms Spec. Funct. 32, No. 10, 812--822 (2021; Zbl 1496.44001) Full Text: DOI
Dreier, Florian; Haltmeier, Markus Recovering the initial data of the wave equation from Neumann traces. (English) Zbl 1462.35458 SIAM J. Math. Anal. 53, No. 2, 2427-2451 (2021). MSC: 35R30 44A12 35L05 92C55 PDFBibTeX XMLCite \textit{F. Dreier} and \textit{M. Haltmeier}, SIAM J. Math. Anal. 53, No. 2, 2427--2451 (2021; Zbl 1462.35458) Full Text: DOI arXiv
Derevtsov, Evgeny Yurievich; Maltseva, Svetlana Vasilievna Recovery of a vector field in the cylinder by its jointly known NMR-images and ray transforms. (English) Zbl 1482.65171 Sib. Èlektron. Mat. Izv. 18, No. 1, 86-103 (2021). Reviewer: Barani Balan Natesan (Thiruvarur) MSC: 65M32 35R30 81V45 92C55 PDFBibTeX XMLCite \textit{E. Y. Derevtsov} and \textit{S. V. Maltseva}, Sib. Èlektron. Mat. Izv. 18, No. 1, 86--103 (2021; Zbl 1482.65171) Full Text: DOI
Rubin, Boris The vertical slice transform on the unit sphere. (English) Zbl 1445.44003 Fract. Calc. Appl. Anal. 22, No. 4, 899-917 (2019). Reviewer: S. L. Kalla (Ballwin) MSC: 44A12 35L05 45Q05 92C55 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 22, No. 4, 899--917 (2019; Zbl 1445.44003) Full Text: DOI
Dreier, Florian; Pereverzyev, Sergiy jun.; Haltmeier, Markus Operator learning approach for the limited view problem in photoacoustic tomography. (English) Zbl 1430.92043 Comput. Methods Appl. Math. 19, No. 4, 749-764 (2019). MSC: 92C55 65R32 44A12 35R30 PDFBibTeX XMLCite \textit{F. Dreier} et al., Comput. Methods Appl. Math. 19, No. 4, 749--764 (2019; Zbl 1430.92043) Full Text: DOI arXiv
Zangerl, Gerhard; Moon, Sunghwan; Haltmeier, Markus Photoacoustic tomography with direction dependent data: an exact series reconstruction approach. (English) Zbl 1423.92190 Inverse Probl. 35, No. 11, Article ID 114005, 16 p. (2019). MSC: 92C55 35Q92 PDFBibTeX XMLCite \textit{G. Zangerl} et al., Inverse Probl. 35, No. 11, Article ID 114005, 16 p. (2019; Zbl 1423.92190) Full Text: DOI arXiv
Ye, Liying; Li, Jing; Wang, Jinping Emission SPECT image reconstruction methods with uniformly attenuated projection data. (Chinese. English summary) Zbl 1424.92024 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 3, 613-624 (2018). MSC: 92C55 44A12 44A15 PDFBibTeX XMLCite \textit{L. Ye} et al., Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 3, 613--624 (2018; Zbl 1424.92024)
Do, N.; Kunyansky, L. Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data. (English) Zbl 1404.65139 Inverse Probl. 34, No. 9, Article ID 094004, 26 p. (2018). MSC: 65M32 78A60 78A40 76Q05 35L05 92C55 44A12 PDFBibTeX XMLCite \textit{N. Do} and \textit{L. Kunyansky}, Inverse Probl. 34, No. 9, Article ID 094004, 26 p. (2018; Zbl 1404.65139) Full Text: DOI arXiv Link
Palamodov, Victor Reconstruction from cone integral transforms. (English) Zbl 1382.44001 Inverse Probl. 33, No. 10, Article ID 104001, 14 p. (2017). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 44A12 65R10 92C55 94A08 94A12 PDFBibTeX XMLCite \textit{V. Palamodov}, Inverse Probl. 33, No. 10, Article ID 104001, 14 p. (2017; Zbl 1382.44001) Full Text: DOI Link
Moon, Sunghwan; Haltmeier, Markus Analytic inversion of a conical Radon transform arising in application of Compton cameras on the cylinder. (English) Zbl 1365.65275 SIAM J. Imaging Sci. 10, No. 2, 535-557 (2017). MSC: 65R10 44A12 92C55 65D18 94A08 PDFBibTeX XMLCite \textit{S. Moon} and \textit{M. Haltmeier}, SIAM J. Imaging Sci. 10, No. 2, 535--557 (2017; Zbl 1365.65275) Full Text: DOI arXiv
Katsevich, A.; Tovbis, A. Diagonalization of the finite Hilbert transform on two adjacent intervals. (English) Zbl 1355.44003 J. Fourier Anal. Appl. 22, No. 6, 1356-1380 (2016). MSC: 44A15 92C55 44A12 PDFBibTeX XMLCite \textit{A. Katsevich} and \textit{A. Tovbis}, J. Fourier Anal. Appl. 22, No. 6, 1356--1380 (2016; Zbl 1355.44003) Full Text: DOI arXiv
Jung, Chang-Yeol; Moon, Sunghwan Exact inversion of the cone transform arising in an application of a Compton camera consisting of line detectors. (English) Zbl 1346.44001 SIAM J. Imaging Sci. 9, No. 2, 520-536 (2016). MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{C.-Y. Jung} and \textit{S. Moon}, SIAM J. Imaging Sci. 9, No. 2, 520--536 (2016; Zbl 1346.44001) Full Text: DOI
Palamodov, Victor Reconstruction from integral data. (English) Zbl 1343.44004 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-1010-7/hbk; 978-1-4987-1011-4/ebook). xi, 169 p. (2016). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 44A12 44-02 65R10 65R32 53C65 92C55 PDFBibTeX XMLCite \textit{V. Palamodov}, Reconstruction from integral data. Boca Raton, FL: CRC Press (2016; Zbl 1343.44004) Full Text: DOI
Guo, Dongsheng; Zhang, Yunong ZNN for solving online time-varying linear matrix-vector inequality via equality conversion. (English) Zbl 1390.15048 Appl. Math. Comput. 259, 327-338 (2015). MSC: 15A24 92B20 15A09 15A39 PDFBibTeX XMLCite \textit{D. Guo} and \textit{Y. Zhang}, Appl. Math. Comput. 259, 327--338 (2015; Zbl 1390.15048) Full Text: DOI
Ambartsoumian, Gaik; Krishnan, Venkateswaran P. Inversion of a class of circular and elliptical Radon transforms. (English) Zbl 1350.44001 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 1: PDE, differential geometry, radon transform. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1653-9/pbk; 978-1-4704-2817-4/ebook). Contemporary Mathematics 653. Israel Mathematical Conference Proceedings, 1-12 (2015). MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{G. Ambartsoumian} and \textit{V. P. Krishnan}, Contemp. Math. 653, 1--12 (2015; Zbl 1350.44001) Full Text: DOI
Zeng, Gengsheng L.; Li, Ya A discrete convolution kernel for no-DC MRI. (English) Zbl 1327.65272 Inverse Probl. 31, No. 8, Article ID 085006, 10 p. (2015). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{G. L. Zeng} and \textit{Y. Li}, Inverse Probl. 31, No. 8, Article ID 085006, 10 p. (2015; Zbl 1327.65272) Full Text: DOI Link
Haltmeier, Markus; Pereverzyev, Sergiy jun. Recovering a function from circular means or wave data on the boundary of parabolic domains. (English) Zbl 1315.65107 SIAM J. Imaging Sci. 8, No. 1, 592-610 (2015). MSC: 65R10 44A12 92C55 65R32 35L05 65M32 PDFBibTeX XMLCite \textit{M. Haltmeier} and \textit{S. Pereverzyev jun.}, SIAM J. Imaging Sci. 8, No. 1, 592--610 (2015; Zbl 1315.65107) Full Text: DOI Link
Rigaud, G.; Lakhal, A. Image and feature reconstruction for the attenuated Radon transform via circular harmonic decomposition of the kernel. (English) Zbl 1312.65214 Inverse Probl. 31, No. 2, Article ID 025007, 21 p. (2015). Reviewer: Josef Kofroň (Praha) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{G. Rigaud} and \textit{A. Lakhal}, Inverse Probl. 31, No. 2, Article ID 025007, 21 p. (2015; Zbl 1312.65214) Full Text: DOI
Jung, Chang-Yeol; Moon, Sunghwan Inversion formulas for cone transforms arising in application of Compton cameras. (English) Zbl 1315.44001 Inverse Probl. 31, No. 1, Article ID 015006, 20 p. (2015). Reviewer: Robert Plato (Siegen) MSC: 44A12 92C55 65R10 65R32 PDFBibTeX XMLCite \textit{C.-Y. Jung} and \textit{S. Moon}, Inverse Probl. 31, No. 1, Article ID 015006, 20 p. (2015; Zbl 1315.44001) Full Text: DOI
Haltmeier, Markus Universal inversion formulas for recovering a function from spherical means. (English) Zbl 1292.44003 SIAM J. Math. Anal. 46, No. 1, 214-232 (2014). Reviewer: Denis Sidorov (Irkutsk) MSC: 44A12 45Q05 92C55 65R10 65R32 PDFBibTeX XMLCite \textit{M. Haltmeier}, SIAM J. Math. Anal. 46, No. 1, 214--232 (2014; Zbl 1292.44003) Full Text: DOI arXiv
Rigaud, G. On the inversion of the Radon transform on a generalized Cormack-type class of curves. (English) Zbl 1286.65182 Inverse Probl. 29, No. 11, Article ID 115010, 21 p. (2013). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{G. Rigaud}, Inverse Probl. 29, No. 11, Article ID 115010, 21 p. (2013; Zbl 1286.65182) Full Text: DOI
Cai, Yang; Wang, Jinping Inversion of the generalized Radon transform. (Chinese. English summary) Zbl 1274.44003 Acta Sci. Nat. Univ. Sunyatseni 51, No. 5, 73-77 (2012). MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{J. Wang}, Acta Sci. Nat. Univ. Sunyatseni 51, No. 5, 73--77 (2012; Zbl 1274.44003)
Haltmeier, Markus Inversion formulas for a cylindrical Radon transform. (English) Zbl 1232.44003 SIAM J. Imaging Sci. 4, No. 3, 789-806 (2011). MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{M. Haltmeier}, SIAM J. Imaging Sci. 4, No. 3, 789--806 (2011; Zbl 1232.44003) Full Text: DOI
Truong, T. T.; Nguyen, M. K. On new \(\mathfrak V\)-line Radon transforms in \(\mathbb R^2\) and their inversion. (English) Zbl 1210.44001 J. Phys. A, Math. Theor. 44, No. 7, Article ID 075206, 13 p. (2011). MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{T. T. Truong} and \textit{M. K. Nguyen}, J. Phys. A, Math. Theor. 44, No. 7, Article ID 075206, 13 p. (2011; Zbl 1210.44001) Full Text: DOI
Ambartsoumian, Gaik; Gouia-Zarrad, Rim; Lewis, Matthew A. Inversion of the circular Radon transform on an annulus. (English) Zbl 1211.44002 Inverse Probl. 26, No. 10, Article ID 105015, 11 p. (2010). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 44A12 45D05 92C55 94A12 PDFBibTeX XMLCite \textit{G. Ambartsoumian} et al., Inverse Probl. 26, No. 10, Article ID 105015, 11 p. (2010; Zbl 1211.44002) Full Text: DOI Link
Möhle, M. Looking forwards and backwards in the multi-allelic neutral Cannings population model. (English) Zbl 1210.60078 J. Appl. Probab. 47, No. 3, 713-731 (2010). Reviewer: Ivan Křivý (Ostrava) MSC: 60J10 92D10 60K35 92D25 PDFBibTeX XMLCite \textit{M. Möhle}, J. Appl. Probab. 47, No. 3, 713--731 (2010; Zbl 1210.60078) Full Text: DOI
Pal, Srimanta Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001 Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 65-01 65Fxx 65Lxx 65Mxx 65Nxx 65Yxx 65D05 65D07 65D30 65G50 65H04 65H05 65H10 92B20 97M50 00A06 65C05 65R20 PDFBibTeX XMLCite \textit{S. Pal}, Numerical methods. Principles, analysis and algorithms. Oxford: Oxford University Press (2009; Zbl 1196.65001)
Kapralov, M.; Katsevich, A. A study of 1PI algorithms for a general class of curves. (English) Zbl 1177.65185 SIAM J. Imaging Sci. 1, No. 4, 418-459 (2008). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{M. Kapralov} and \textit{A. Katsevich}, SIAM J. Imaging Sci. 1, No. 4, 418--459 (2008; Zbl 1177.65185) Full Text: DOI Link
Rubin, Boris Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. (English) Zbl 1141.44002 Inverse Probl. 24, No. 2, Article ID 025021, 10 p. (2008). MSC: 44A12 92C55 35Q05 26A33 PDFBibTeX XMLCite \textit{B. Rubin}, Inverse Probl. 24, No. 2, Article ID 025021, 10 p. (2008; Zbl 1141.44002) Full Text: DOI
You, Jiangsheng The attenuated Radon transform with complex coefficients. (English) Zbl 1138.44002 Inverse Probl. 23, No. 5, 1963-1971 (2007). Reviewer: Fabio Scarabotti (Roma) MSC: 44A12 92C55 65R10 PDFBibTeX XMLCite \textit{J. You}, Inverse Probl. 23, No. 5, 1963--1971 (2007; Zbl 1138.44002) Full Text: DOI
Kunyansky, Leonid A. Explicit inversion formulae for the spherical mean Radon transform. (English) Zbl 1127.44003 Inverse Probl. 23, No. 1, 373-383 (2007). Reviewer: Carla Peri (Milano-Largo) MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{L. A. Kunyansky}, Inverse Probl. 23, No. 1, 373--383 (2007; Zbl 1127.44003) Full Text: DOI arXiv
Kapralov, M.; Katsevich, A. A one-PI algorithm for helical trajectories that violate the convexity condition. (English) Zbl 1109.65111 Inverse Probl. 22, No. 6, 2123-2143 (2006). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{M. Kapralov} and \textit{A. Katsevich}, Inverse Probl. 22, No. 6, 2123--2143 (2006; Zbl 1109.65111) Full Text: DOI
Boman, Jan; Strömberg, Jan-Olov Novikov’s inversion formula for the attenuated Radon transform – a new approach. (English) Zbl 1072.44002 J. Geom. Anal. 14, No. 2, 187-198 (2004). Reviewer: Boris Rubin (Baton Rouge) MSC: 44A12 92C55 53C65 PDFBibTeX XMLCite \textit{J. Boman} and \textit{J.-O. Strömberg}, J. Geom. Anal. 14, No. 2, 187--198 (2004; Zbl 1072.44002) Full Text: DOI
Clackdoyle, Rolf; Noo, Frédéric A large class of inversion formulae for the 2D Radon transform of functions of compact support. (English) Zbl 1071.44002 Inverse Probl. 20, No. 4, 1281-1291 (2004). Reviewer: Nácere Hayek (La Laguna) MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{R. Clackdoyle} and \textit{F. Noo}, Inverse Probl. 20, No. 4, 1281--1291 (2004; Zbl 1071.44002) Full Text: DOI
Rullgård, Hans An explicit inversion formula for the exponential Radon transform using data from \(180^\circ\). (English) Zbl 1056.44004 Ark. Mat. 42, No. 2, 353-362 (2004). Reviewer: Boris Rubin (Baton Rouge) MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{H. Rullgård}, Ark. Mat. 42, No. 2, 353--362 (2004; Zbl 1056.44004) Full Text: DOI
Guillement, J.-P.; Novikov, R. G. A noise property analysis of single-photon emission computed tomography data. (English) Zbl 1047.65110 Inverse Probl. 20, No. 1, 175-198 (2004). MSC: 65R10 44A12 92C55 94A12 PDFBibTeX XMLCite \textit{J. P. Guillement} and \textit{R. G. Novikov}, Inverse Probl. 20, No. 1, 175--198 (2004; Zbl 1047.65110) Full Text: DOI
Wang, Jinping The results of local analysis methods on Radon transform. (Chinese. English summary) Zbl 1049.44500 J. Ningxia Univ., Nat. Sci. Ed. 24, No. 3, 227-228, 248 (2003). MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{J. Wang}, J. Ningxia Univ., Nat. Sci. Ed. 24, No. 3, 227--228, 248 (2003; Zbl 1049.44500)
Gelfand, I. M.; Gindikin, S. G.; Graev, M. I. Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. (English) Zbl 1055.53059 Translations of Mathematical Monographs 220. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2932-7/hbk). xvi, 170 p. (2003). Reviewer: Enrique Macias-Virgós (Santiago de Compostela) MSC: 53C65 53-02 42A38 42B10 43A32 44A12 46F12 60D05 60E05 60E10 65R10 92C55 PDFBibTeX XMLCite \textit{I. M. Gelfand} et al., Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Providence, RI: American Mathematical Society (AMS) (2003; Zbl 1055.53059)
Kravchenko, V. F.; Basarab, M. A. An algebraic method for solving the Radon integral equation in a complex-shaped domain on the basis of the theory of R-functions. (English. Russian original) Zbl 1027.65177 Differ. Equ. 38, No. 9, 1344-1350 (2002); translation from Differ. Uravn. 38, No. 9, 1263-1269 (2002). MSC: 65R10 65R32 44A12 92C55 PDFBibTeX XMLCite \textit{V. F. Kravchenko} and \textit{M. A. Basarab}, Differ. Equ. 38, No. 9, 1344--1350 (2002; Zbl 1027.65177); translation from Differ. Uravn. 38, No. 9, 1263--1269 (2002) Full Text: DOI
Katsevich, Alexander Theoretically exact filtered backprojection-type inversion algorithm for spiral CT. (English) Zbl 1017.65106 SIAM J. Appl. Math. 62, No. 6, 2012-2026 (2002). Reviewer: R.S.Dahiya (Ames) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{A. Katsevich}, SIAM J. Appl. Math. 62, No. 6, 2012--2026 (2002; Zbl 1017.65106) Full Text: DOI
Nguyen, Mai K.; Truong, T. T. On an integral transform and its inverse in nuclear imaging. (English) Zbl 1002.44002 Inverse Probl. 18, No. 1, 265-277 (2002). Reviewer: Khalifa Trimèche (Tunis) MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{M. K. Nguyen} and \textit{T. T. Truong}, Inverse Probl. 18, No. 1, 265--277 (2002; Zbl 1002.44002) Full Text: DOI
Kunyansky, Leonid A. Analytic reconstruction algorithms in emission tomography with variable attenuation. (English) Zbl 1015.65073 J. Comput. Methods Sci. Eng. 1, No. 2s-3s, 267-286 (2001). MSC: 65R10 44A12 65R30 92C55 PDFBibTeX XMLCite \textit{L. A. Kunyansky}, J. Comput. Methods Sci. Eng. 1, No. 2s-3s, 267--286 (2001; Zbl 1015.65073)
Grünbaum, F. Alberto A nonlinear inverse problem inspired by three-dimensional diffuse tomography. (English) Zbl 1003.65146 Inverse Probl. 17, No. 6, 1907-1922 (2001). MSC: 65R10 65H10 65R32 44A12 92C55 PDFBibTeX XMLCite \textit{F. A. Grünbaum}, Inverse Probl. 17, No. 6, 1907--1922 (2001; Zbl 1003.65146) Full Text: DOI
Novikov, Roman G. An inversion formula for the attenuated X-ray transformation. (Une formule d’inversion pour la transformation d’un rayonnement X atténué.) (French. Abridged English version) Zbl 0984.44001 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 12, 1059-1063 (2001). MSC: 44A12 92C55 65R10 PDFBibTeX XMLCite \textit{R. G. Novikov}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 12, 1059--1063 (2001; Zbl 0984.44001) Full Text: DOI
Kunyansky, Leonid A. A new SPECT reconstruction algorithm based on the Novikov explicit inversion formula. (English) Zbl 0995.65142 Inverse Probl. 17, No. 2, 293-306 (2001). Reviewer: C.L.Koul (Jaipur) MSC: 65R10 44A12 92C55 94A08 PDFBibTeX XMLCite \textit{L. A. Kunyansky}, Inverse Probl. 17, No. 2, 293--306 (2001; Zbl 0995.65142) Full Text: DOI Link
Puro, Alfred Cormack-type inversion of exponential Radon transform. (English) Zbl 0980.44005 Inverse Probl. 17, No. 1, 179-188 (2001). Reviewer: Wolfgang zu Castell (Neuherberg) MSC: 44A12 92C55 65R10 PDFBibTeX XMLCite \textit{A. Puro}, Inverse Probl. 17, No. 1, 179--188 (2001; Zbl 0980.44005) Full Text: DOI
Natterer, F. Inversion of the attenuated Radon transform. (English) Zbl 0980.44006 Inverse Probl. 17, No. 1, 113-119 (2001). Reviewer: Wolfgang zu Castell (Neuherberg) MSC: 44A12 92C55 65R10 PDFBibTeX XMLCite \textit{F. Natterer}, Inverse Probl. 17, No. 1, 113--119 (2001; Zbl 0980.44006) Full Text: DOI
Wang, Jinping; Du, Jinyuan The numerical method of inversion for the interior Radon transform. (English) Zbl 0966.65104 Wuhan Univ. J. Nat. Sci. 5, No. 2, 143-146 (2000). Reviewer: R.S.Dahiya (Ames) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{J. Wang} and \textit{J. Du}, Wuhan Univ. J. Nat. Sci. 5, No. 2, 143--146 (2000; Zbl 0966.65104) Full Text: DOI
Natterer, Frank Numerical methods in tomography. (English) Zbl 0944.65138 Acta Numerica 8, 107-141 (1999). Reviewer: N.Hayek (La Laguna) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{F. Natterer}, Acta Numerica 8, 107--141 (1999; Zbl 0944.65138)
You, Jiangsheng; Bao, Shanglian Derivation and analysis of a new reconstruction formula from cone-beam projections. (English) Zbl 0864.65088 Appl. Math., Ser. B (Engl. Ed.) 11, No. 4, 399-408 (1996). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{J. You} and \textit{S. Bao}, Appl. Math., Ser. B (Engl. Ed.) 11, No. 4, 399--408 (1996; Zbl 0864.65088) Full Text: DOI
Palamodov, V. P. An inversion method for an attenuated \(x\)-ray transform. (English) Zbl 0863.65086 Inverse Probl. 12, No. 5, 717-729 (1996). Reviewer: N.Hayek (La Laguna) MSC: 65R10 92C55 44A12 PDFBibTeX XMLCite \textit{V. P. Palamodov}, Inverse Probl. 12, No. 5, 717--729 (1996; Zbl 0863.65086) Full Text: DOI
Ramm, A. G. Inversion formula and singularities of the solution for the backprojection operator in tomography. (English) Zbl 0853.44001 Proc. Am. Math. Soc. 124, No. 2, 567-577 (1996). Reviewer: K.Trimeche (Tunis) MSC: 44A12 45P05 92C55 PDFBibTeX XMLCite \textit{A. G. Ramm}, Proc. Am. Math. Soc. 124, No. 2, 567--577 (1996; Zbl 0853.44001) Full Text: DOI
Katsevich, A. I.; Ramm, A. G. New methods for finding values of the jumps of a function from its local tomographic data. (English) Zbl 0840.65134 Inverse Probl. 11, No. 5, 1005-1023 (1995). Reviewer: V.Gorbunov (Ul’yanovsk) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{A. I. Katsevich} and \textit{A. G. Ramm}, Inverse Probl. 11, No. 5, 1005--1023 (1995; Zbl 0840.65134) Full Text: DOI
Ramm, A. G. Finding discontinuities from tomographic data. (English) Zbl 0830.44001 Proc. Am. Math. Soc. 123, No. 8, 2499-2505 (1995). Reviewer: Kh.N.Boyadzhiev (Ada) MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{A. G. Ramm}, Proc. Am. Math. Soc. 123, No. 8, 2499--2505 (1995; Zbl 0830.44001) Full Text: DOI
Schapira, P. Tomography of constructible functions. (English) Zbl 0878.44002 Cohen, Gérard (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 948, 427-435 (1995). MSC: 44A12 92C55 PDFBibTeX XMLCite \textit{P. Schapira}, Lect. Notes Comput. Sci. 948, 427--435 (1995; Zbl 0878.44002)
Radon, Johann On the construction of functions by means of their integral values along certain manifolds. [Reprint]. (Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten.) (German) Zbl 0826.44001 Gindikin, Simon (ed.) et al., 75 years of Radon transform. Proceedings of the conference held at the Erwin Schrödinger International Institute for Mathematical Physics in Vienna, Austria, August 31-September 4, 1992. Cambridge, MA: International Press. Conf. Proc. Lect. Notes Math. Phys. 4, 324-339 (1994). MSC: 44A12 92C55 53C65 35A22 42A38 01A75 01A60 PDFBibTeX XMLCite \textit{J. Radon}, Conf. Proc. Lect. Notes Math. Phys. 4, 324--339 (1994; Zbl 0826.44001)
Shneiberg, I. Ya; Ponomarev, I. V.; Dmitrichenko, V. A.; Kalashnikov, S. D. On a new reconstruction algorithm in emission tomography. (English) Zbl 0842.65089 Gindikin, S. (ed.), Applied problems of Radon transforms. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 162, 247-255 (1994). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{I. Y. Shneiberg} et al., Transl., Ser. 2, Am. Math. Soc. 162, 247--255 (1994; Zbl 0842.65089)
Popov, D. A.; Sokolova, E. B.; Sushko, D. V. Mathematical models in two-dimensional Radon tomography. (English) Zbl 0842.65090 Gindikin, S. (ed.), Applied problems of Radon transforms. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 162, 129-204 (1994). MSC: 65R10 65R30 44A12 92C55 PDFBibTeX XMLCite \textit{D. A. Popov} et al., Transl., Ser. 2, Am. Math. Soc. 162, 129--204 (1994; Zbl 0842.65090)
Bermúdez, Misvely On generalized finite Hankel transform. (Spanish. English summary) Zbl 0803.44005 Rev. Téc. Fac. Ing., Univ. Zulia 17, No. 1, 47-50 (1994). Reviewer: S.L.Kalla (Maracaibo) MSC: 44A15 92E20 PDFBibTeX XMLCite \textit{M. Bermúdez}, Rev. Téc. Fac. Ing., Univ. Zulia 17, No. 1, 47--50 (1994; Zbl 0803.44005)
Bell, G. I.; Bivins, R. L.; Louck, J. D.; Metropolis, N.; Stein, M. L. Properties of words on four letters from those on two letters with an application to DNA sequences. (English) Zbl 0810.92009 Adv. Appl. Math. 14, No. 3, 348-367 (1993). Reviewer: R.-D.Recknagel (Jena) MSC: 92C40 68R15 92D20 PDFBibTeX XMLCite \textit{G. I. Bell} et al., Adv. Appl. Math. 14, No. 3, 348--367 (1993; Zbl 0810.92009) Full Text: DOI
Sharafutdinov, V. A. The X-ray transform of symmetric tensor fields. (English. Russian original) Zbl 0723.44003 Sib. Adv. Math. 1, No. 1, 160-184 (1991); translation from Tr. Inst. Mat. 14, 221-245 (1989). MSC: 44A12 92C55 53C65 PDFBibTeX XMLCite \textit{V. A. Sharafutdinov}, Sib. Adv. Math. 1, No. 1, 160--184 (1991; Zbl 0723.44003); translation from Tr. Inst. Mat. 14, 221--245 (1989)
Mahmoud, Fatma A. M.; Saleem, Madiha A. M. Chebyshev approximation for solving the Radon integral equation. (English) Zbl 0748.65093 Int. J. Comput. Math. 39, No. 1-2, 67-80 (1991). Reviewer: F.Natterer MSC: 65R10 65R30 44A12 92C55 PDFBibTeX XMLCite \textit{F. A. M. Mahmoud} and \textit{M. A. M. Saleem}, Int. J. Comput. Math. 39, No. 1--2, 67--80 (1991; Zbl 0748.65093) Full Text: DOI
Diaconis, P.; Fulton, W. A growth model, a game, an algebra, Lagrange inversion, and characteristic classes. (English) Zbl 0776.60128 Rend. Semin. Mat., Torino 49, No. 1, 95-119 (1991). MSC: 60K99 60B15 92D99 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{W. Fulton}, Rend. Semin. Mat., Torino 49, No. 1, 95--119 (1991; Zbl 0776.60128)
Natterer, F. 2D sampling in tomography. (English) Zbl 0739.44002 Curves and surfaces, Pap. Int. Conf., Chamonix-Mont-Blanc/Fr. 1990, 349-357 (1991). Reviewer: M.Reimer (Dortmund) MSC: 44A12 92C55 65R10 PDFBibTeX XMLCite \textit{F. Natterer}, in: Pseudo-cubic weighed splines can be \( C^ 2\) or \(G^ 2\). . 349--357 (1991; Zbl 0739.44002)
Louis, Alfred K. Mathematical questions of a biomagnetic imaging problem. (English) Zbl 0756.92004 Mathematical methods in tomography, Proc. Conf., Oberwolfach/Germ. 1990, Lect. Notes Math. 1497, 126-132 (1991). MSC: 92C05 78A70 92C50 PDFBibTeX XMLCite \textit{A. K. Louis}, Lect. Notes Math. 1497, 126--132 (1991; Zbl 0756.92004)
Grangeat, Pierre Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform. (English) Zbl 0764.65079 Mathematical methods in tomography, Proc. Conf., Oberwolfach/Germ. 1990, Lect. Notes Math. 1497, 66-97 (1991). Reviewer: F.Natterer (Münster) MSC: 65R10 44A12 65R30 92C55 PDFBibTeX XMLCite \textit{P. Grangeat}, Lect. Notes Math. 1497, 66--97 (1991; Zbl 0764.65079)
Maass, Peter Singular value decompositions for Radon transforms. (English) Zbl 0762.65090 Mathematical methods in tomography, Proc. Conf., Oberwolfach/Germ. 1990, Lect. Notes Math. 1497, 6-14 (1991). Reviewer: M.Reimer (Dortmund) MSC: 65R10 65R30 92C55 44A12 33C45 42C15 PDFBibTeX XMLCite \textit{P. Maass}, Lect. Notes Math. 1497, 6--14 (1991; Zbl 0762.65090)
Natterer, Frank Mathematische Methoden der Computer-Tomographie. (Mathematical methods of computer tomography). (German) Zbl 0715.65102 Vortr., Rheinisch-Westfäl. Akad. Wiss., Natur- Ing.- Wirtschaftswiss. N 375, 7-22 (1990). Reviewer: M.Reimer MSC: 65R10 65R30 44A12 92C55 PDFBibTeX XML
Louis, Alfred K. The eikonal approximation in ultrasound computer tomography. (English) Zbl 0692.92002 Signal processing, Pt. II: Control theory and applications, Lect., Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 23, 285-291 (1990). MSC: 92C50 65N30 35R30 76Q05 PDFBibTeX XML
Vvedenskaya, N. D.; Gindikin, S. G. The discrete Radon transform and reconstruction of images. (Russian) Zbl 0742.44005 Vopr. Kibern., Mosk. 157, 57-99 (1990). Reviewer: H.-J.Glaeske (Jena) MSC: 44A12 92C55 65R10 PDFBibTeX XMLCite \textit{N. D. Vvedenskaya} and \textit{S. G. Gindikin}, Vopr. Kibern., Mosk. 157, 57--99 (1990; Zbl 0742.44005)
Nievergelt, Yves Elementary inversion of Radon’s transform. (English) Zbl 0623.65139 SIAM Rev. 28, 79-84 (1986). MSC: 65R10 44A15 65R20 45H05 92C50 PDFBibTeX XMLCite \textit{Y. Nievergelt}, SIAM Rev. 28, 79--84 (1986; Zbl 0623.65139) Full Text: DOI
Chapman, C. H.; Cary, P. W. The circular harmonic Radon transform. (English) Zbl 0613.65133 Inverse Probl. 2, 23-49 (1986). Reviewer: F.Natterer MSC: 65R10 44A15 45H05 92C50 PDFBibTeX XMLCite \textit{C. H. Chapman} and \textit{P. W. Cary}, Inverse Probl. 2, 23--49 (1986; Zbl 0613.65133) Full Text: DOI
Anderssen, R. S.; Jackett, D. R. Linear functionals of foliage angle density. (English) Zbl 0537.92030 J. Aust. Math. Soc., Ser. B 25, 431-442 (1984). MSC: 92F05 45D05 45B05 92B05 PDFBibTeX XMLCite \textit{R. S. Anderssen} and \textit{D. R. Jackett}, J. Aust. Math. Soc., Ser. B 25, 431--442 (1984; Zbl 0537.92030) Full Text: DOI
Deans, Stanley R. The Radon transform and some of its applications. (English) Zbl 0561.44001 A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XI, 289 p. (1983). MSC: 44A15 44-02 43A85 45H05 42A38 58C99 65R10 53C30 92F05 78A15 92Cxx 85A99 PDFBibTeX XML
Louis, A. K. Approximate inversion of the 3D Radon transform. (English) Zbl 0543.65085 Math. Methods Appl. Sci. 5, 176-185 (1983). Reviewer: F.Natterer MSC: 65R10 65D25 44A15 45H05 92F05 PDFBibTeX XMLCite \textit{A. K. Louis}, Math. Methods Appl. Sci. 5, 176--185 (1983; Zbl 0543.65085) Full Text: DOI
Radon, Johann Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten [Reprint]. (German) Zbl 0534.44004 Computed tomography, Cincinnati/Ohio 1982, Proc. Symp. Appl. Math. 27, 71-86 (1983). Reviewer: U.G.Oppel MSC: 44A15 53C65 01A75 01A60 92F05 35A22 42A38 PDFBibTeX XML
Rohler, David; Krishnaprasad, P. S. Radon inversion and Kalman reconstructions: A comparison. (English) Zbl 0472.93065 IEEE Trans. Autom. Control 26, 483-487 (1981). MSC: 93E12 93E11 44A15 93E25 92F05 PDFBibTeX XMLCite \textit{D. Rohler} and \textit{P. S. Krishnaprasad}, IEEE Trans. Autom. Control 26, 483--487 (1981; Zbl 0472.93065) Full Text: DOI
Louis, A. K. Ghosts in tomography. The null space of the Radon transform. (English) Zbl 0459.44004 Math. Methods Appl. Sci. 3, 1-10 (1981). MSC: 44A15 45H05 65R10 92F05 PDFBibTeX XMLCite \textit{A. K. Louis}, Math. Methods Appl. Sci. 3, 1--10 (1981; Zbl 0459.44004) Full Text: DOI DOI