title: Inverse problem in optical diffusion tomography. I. Fourier-Laplace inversion formulas.
abstract: 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.
authors.affiliation: Department of Electrical Engineering, Washington University, St. Louis, Missouri 63130-4899, USA. vmarkel@ee.wustl.edu
authors.forename: V A
authors.initials: VA
authors.lastname: Markel
authors.forename: J C
authors.initials: JC
authors.lastname: Schotland
mesh_terms: D005583:Fourier Analysis; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation; D014054:Tomography