论文信息 - The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scattering

The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scattering

A uniform derivation of the inversion formula for diffraction tomography and inverse scattering from the fundamental identity for iterated spherical means is presented.

Gregory Beylkin | G. Beylkin

[1] A. Devaney. A filtered backpropagation algorithm for diffraction tomography. , 1982, Ultrasonic imaging.

[2] A. J. Devaney,et al. A Computer Simulation Study of Diffraction Tomography , 1983, IEEE Transactions on Biomedical Engineering.

[3] A. Devaney. Inversion formula for inverse scattering within the Born approximation. , 1982, Optics letters.

[4] F. John. Plane Waves and Spherical Means: Applied To Partial Differential Equations , 1981 .