title: Reconstruction method with data from a multiple-site continuous-wave source for three-dimensional optical tomography.
abstract: A method is presented for reconstruction of the optical absorption coefficient from transmission near-infrared data with a cw source. As it is distinct from other available schemes such as optimization or Newton's iterative method, this method resolves the inverse problem by solving a boundary value problem for a Volterra-type integral-differential equation. It is demonstrated in numerical studies that this technique has a better than average stability with respect to the discrepancy between the initial guess and the actual unknown absorption coefficient. The method is particularly useful for reconstruction from a large data set obtained from a CCD camera. Several numerical reconstruction examples are presented.
authors.affiliation: Department of Mathematics, University of Texas at Arlington, 76019, USA.
authors.forename: Jianzhong
authors.initials: J
authors.lastname: Su
authors.forename: Hua
authors.initials: H
authors.lastname: Shan
authors.forename: Hanli
authors.initials: H
authors.lastname: Liu
authors.forename: Michael V
authors.initials: MV
authors.lastname: Klibanov
mesh_terms: D000465:Algorithms; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D041622:Tomography, Optical / Q000379:methods*