Inverse problem in optical diffusion tomography. I. Fourier-Laplace inversion formulas.
نویسندگان
چکیده
We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. Inversion formulas based on the Fourier-Laplace transform are used to establish the existence and uniqueness of solutions to this problem in planar, cylindrical, and spherical geometries.
منابع مشابه
Inverse problem in optical diffusion tomography. II. Role of boundary conditions.
We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. The role of boundary conditions in the derivation of Fourier-Laplace inversion formulas is considered. Boundary conditions of a general mixed type are discussed, with purely absorbing and purely reflecting boundaries obtained as limiti...
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عنوان ژورنال:
- Journal of the Optical Society of America. A, Optics, image science, and vision
دوره 18 6 شماره
صفحات -
تاریخ انتشار 2001