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Explore a mathematical seminar presentation that delves into the integral geometry problem of reconstructing potential parts of 3D symmetric tensor fields using the normal Radon transform. Learn about the investigation of transform properties and the singular value decomposition of the operator, with detailed explanations of orthogonal bases construction using Jacobi polynomials, Gegenbauer polynomials, and spherical harmonics. Discover how these mathematical tools come together to derive a polynomial expression for the (pseudo)inverse operator, as presented by Dr. Ivan Svetov from the Sobolev Institute of Mathematics in collaboration with Anna Polyakova.
