Conference on Applied Inverse Problems, July 20-24, 2009, Vienna, Austria
Poster Presentation
Jianzhong Su: Globally Accelerated Reconstruction Algorithm for Diffusion Tomography in an Arbitrary Convex Shape Domain

Mon, 20 July, 2009, 17:15-18:15, Foyer

In this paper, a new numerical imaging algorithm is presented for reconstruction of optical absorption coefficient from Near Infrared light data with a continuous-wave source. As a continuation of earlier efforts of the authors in developing a series of methods called "Globally Convergent Reconstruction Methods", this numerical algorithm solves the inverse problem through solving a boundary value problem for a Volterra type integral-partial-differential equation. This paper deals with the particular issues in solving the inverse problems in an arbitrary convex shape domain. It is demonstrated in numerical studies that this reconstruction technique is highly efficient and stable with respect to the complex distribution of actual unknown absorption coefficient. The method is particularly useful for reconstruction from a large data set obtained from a tissue or organ of particular shape such as prostate. Numerical reconstructions of a simulated prostate-shaped phantom with 3 different settings of absorption-inclusions are presented.

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