{"product_id":"reconstruction-from-integral-data","title":"Reconstruction from Integral Data","description":"\u003cp\u003eReconstruction 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. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eReconstruction from Integral Data\u003c\/strong\u003e 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54186148233560,"sku":null,"price":210.8,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781498710107_074ce87d-deb1-45f5-8e01-388cd0c9984a.jpg?v=1777257935","url":"https:\/\/agendabookshop.com\/products\/reconstruction-from-integral-data","provider":"Agenda Bookshop","version":"1.0","type":"link"}