Spherical Radon Transform and Related Wavelet Transforms
نویسندگان
چکیده
منابع مشابه
Inversion of spherical means using geometric inversion and Radon transforms
We consider the problem of reconstmcting a continuous function on R" from certain values of its spherical means. A novel aspect of our approach is the use of geometric inversion to recast the inverse spherical mean problem as an inverse Radon transform problem. W define WO spherical mean inverse problems the entire problem and the causal problem. We then present a dual filtered backprojection a...
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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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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1998
ISSN: 1063-5203
DOI: 10.1006/acha.1997.0228