Integral geometry is a field of mathematics that studies inversions and various properties of transforms, which integrate functions along curves, surfaces and hypersurfaces. Such transforms arise naturally in numerous problems of medical imaging, remote sensing, and non-destructive testing. The most typical examples include the Radon transform and its generalizations. The talk will discuss some problems and recent results related to generalized Radon transforms, and their applications to various problems of tomography.

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Last updated: 19 Feb 2019