1990American Mathematical Society eBooksRequires access

Integral geometry and tomography : proceedings of the AMS-IMS-SIAM joint summer research conference, held June 24-30, 1989, with support from the National Science Foundation

Eric L. Grinberg, Eric Todd Quinto

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Abstract

Admissible complexes for the combinatorial Radon transform. A Progress Report by E. D. Bolker, E. Grinberg, and J. P. S. Kung On generalized Radon transforms with unknown measures by Jan Paley-Wiener theorems on rank one symmetric spaces of noncompact type by W. O. Bray and D. C. Solmon Inversion of the X-ray transform: continuous vs.discrete by E. C. Tarabusi The mathematics and physics of radiation dose planning using X-rays by A. M. Cormack and E. T. Quinto The Radon transform and tensor products by L. Ehrenpreis An application of a multidimensional sampling theorem to computed tomography by A. Faridani The Radon transform for symmetric forms on real projective spaces by H. Goldschmidt Bi-invariant differential operators on the complex motion group and the range of the $d$-plane transform on $\mathbf C^n$ by F. B. Gonzalez Processes of flats induced by higher-dimensional processes II by P. R. Goodey and R. Howard Microlocal techniques in integral geometry by A. Greenleaf and G. Uhlmann The totally-geodesic Radon transform on constant curvature spaces by S. Helgason An application for a limited solid angle X-ray transform by S. H. Izen On a conjectured projection inequality of Petty by E. Lutwak A generalized Radon transform in wideband radar by P. Maass Summability and approximate reconstruction from Radon transform data by W. R. Madych An inverse problem for a transport equation and integral geometry by F. Natterer Invariant Radon transforms on a symmetric space by J. Orloff Nonuniqueness and the null space of the divergent beam X-ray transform by D. C. Solmon.

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Admissible complexes for the combinatorial Radon transform. A Progress Report by E. D. Bolker, E. Grinberg, and J. P. S. Kung On generalized Radon transforms with unknown measures by Jan Paley-Wiener theorems on rank one symmetric spaces of noncompact type by W. O. Bray and D. C. Solmon Inversion of the X-ray transform: continuous vs.discrete by E. C. Tarabusi The mathematics and physics of radiation dose planning using X-rays by A. M. Cormack and E. T. Quinto The Radon transform and tensor products by L. Ehrenpreis An application of a multidimensional sampling theorem to computed tomography by A. Faridani The Radon transform for symmetric forms on real projective spaces by H. Goldschmidt Bi-invariant differential operators on the complex motion group and the range of the $d$-plane transform on $\mathbf C^n$ by F. B. Gonzalez Processes of flats induced by higher-dimensional processes II by P. R. Goodey and R. Howard Microlocal techniques in integral geometry by A. Greenleaf and G. Uhlmann The totally-geodesic Radon transform on constant curvature spaces by S. Helgason An application for a limited solid angle X-ray transform by S. H. Izen On a conjectured projection inequality of Petty by E. Lutwak A generalized Radon transform in wideband radar by P. Maass Summability and approximate reconstruction from Radon transform data by W. R. Madych An inverse problem for a transport equation and integral geometry by F. Natterer Invariant Radon transforms on a symmetric space by J. Orloff Nonuniqueness and the null space of the divergent beam X-ray transform by D. C. Solmon.

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Available abstract

Admissible complexes for the combinatorial Radon transform. A Progress Report by E. D. Bolker, E. Grinberg, and J. P. S. Kung On generalized Radon transforms with unknown measures by Jan Paley-Wiener theorems on rank one symmetric spaces of noncompact type by W. O. Bray and D. C. Solmon Inversion of the X-ray transform: continuous vs.discrete by E. C. Tarabusi The mathematics and physics of radiation dose planning using X-rays by A. M. Cormack and E. T. Quinto The Radon transform and tensor products by L. Ehrenpreis An application of a multidimensional sampling theorem to computed tomography by A. Faridani The Radon transform for symmetric forms on real projective spaces by H. Goldschmidt Bi-invariant differential operators on the complex motion group and the range of the $d$-plane transform on $\mathbf C^n$ by F. B. Gonzalez Processes of flats induced by higher-dimensional processes II by P. R. Goodey and R. Howard Microlocal techniques in integral geometry by A. Greenleaf and G. Uhlmann The totally-geodesic Radon transform on constant curvature spaces by S. Helgason An application for a limited solid angle X-ray transform by S. H. Izen On a conjectured projection inequality of Petty by E. Lutwak A generalized Radon transform in wideband radar by P. Maass Summability and approximate reconstruction from Radon transform data by W. R. Madych An inverse problem for a transport equation and integral geometry by F. Natterer Invariant Radon transforms on a symmetric space by J. Orloff Nonuniqueness and the null space of the divergent beam X-ray transform by D. C. Solmon.

Key concepts: Integral geometry, Radon transform, Mathematics, Symmetric space, Geometry, Integral transform, Mathematical analysis, Pure mathematics

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Integral geometry and tomography : proceedings of the AMS-IMS-SIAM joint summer research conference, held June 24-30, 1989, with support from the National Science Foundation — Research Paper | ScholarLens