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OverviewReconstruction of a function from data of integrals is used for problems arising in diagnostics, including x-ray, positron radiography, ultrasound, scattering, sonar, seismic, impedance, wave tomography, crystallography, photo-thermo-acoustics, photoelastics, and strain tomography. Reconstruction from Integral Data presents both long-standing and recent mathematical results from this field in a uniform way. The book focuses on exact analytic formulas for reconstructing a function or a vector field from data of integrals over lines, rays, circles, arcs, parabolas, hyperbolas, planes, hyperplanes, spheres, and paraboloids. It also addresses range characterizations. Coverage is motivated by both applications and pure mathematics. The book first presents known facts on the classical and attenuated Radon transform. It then deals with reconstructions from data of ray (circle) integrals. The author goes on to cover reconstructions in classical and new geometries. The final chapter collects necessary definitions and elementary facts from geometry and analysis that are not always included in textbooks. Full Product DetailsAuthor: Victor PalamodovPublisher: Taylor & Francis Inc Imprint: Chapman & Hall/CRC Dimensions: Width: 15.60cm , Height: 1.80cm , Length: 23.40cm Weight: 0.385kg ISBN: 9781498710107ISBN 10: 1498710107 Pages: 172 Publication Date: 02 May 2016 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsRadon Transform. Ray and Line Integral Transforms. Factorization Method. General Method of Reconstruction. Applications to Classical Geometries. Applications to the Spherical Mean Transform. Appendix.ReviewsAuthor InformationVictor Palamodov is a professor in the School of Mathematical Sciences at Tel-Aviv University. His research interests include mathematical and algebraic analysis and applications to physics and medical diagnostics. Tab Content 6Author Website:Countries AvailableAll regions |