Inversion of the Spherical Radon Transform by a Poisson Type Formula Isaac Pesenson and Eric L. Grinberg
نویسنده
چکیده
The article presents an analog of the Poisson summation formula for approximate reconstruction of an even smooth function on the unit sphere using a discrete set of values of its integrals along great sub-spheres.
منابع مشابه
Explicit inversion formulae for the spherical mean Radon transform
Abstract We derive explicit formulae for the reconstruction of a function from its integrals over a family of spheres, or for the inversion of the spherical mean Radon transform. Such formulae are important for problems of thermoand photo-acoustic tomography. A closed-form inversion formula of a filtrationbackprojection type is found for the case when the centres of the integration spheres lie ...
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تاریخ انتشار 2001