期刊
INVERSE PROBLEMS
卷 23, 期 1, 页码 373-383出版社
IOP PUBLISHING LTD
DOI: 10.1088/0266-5611/23/1/021
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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 thermo- and photo-acoustic tomography. A closed-form inversion formula of a filtration-backprojection type is found for the case when the centres of the integration spheres lie on a sphere in R-n surrounding the support of the unknown function.
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