Inverting Spherical Radon Transform by a Closed-form Formula: A Microlocal Analytic Point of View
Abstract
Let be the restriction of the spherical Radon transform to the set of spheres centered on a hypersurface . We study the inversion of by a closed-form formula. We approach the problem by studying an oscillatory integral, which depends on the observation surface as a parameter. We then derive various microlocal analytic properties of the associated closed-form inversion formula.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.