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Ray transforms acting on 2D m-tensor fields

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RNT - Rich and Nonlinear Tomography - a multidisciplinary approach

We consider the problems of tomography and integral geometry of tensor fields in the plane. The representations of symmetric tensor fields through potential that generates the field with usage of operators of differentiation and symmetrization are obtained. We suggest a detailed classification of symmetric m-tensor fields. Also the kernels and images of the operators of mixed and transverse ray transforms are described. The connections between ray transforms of the fields and Radon transforms of their potentials are established. We propose some approaches for reconstruction of these fields. Anna Polyakova, Ivan Svetov, Evgeny Derevtsov.

This talk is part of the Isaac Newton Institute Seminar Series series.

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