期刊
SIAM JOURNAL ON APPLIED MATHEMATICS
卷 68, 期 2, 页码 392-412出版社
SIAM PUBLICATIONS
DOI: 10.1137/070682137
关键词
spherical means; thermoacoustic tomography; wave equation
We establish inversion formulas of the so-called filtered back-projection type to recover a function supported in the ball in even dimensions from its spherical means over spheres centered on the boundary of the ball. We also find several formulas to recover initial data of the form (f, O) ( or (O, g)) for the free space wave equation in even dimensions from the trace of the solution on the boundary of the ball, provided that the initial data has support in the ball.
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