Recovery of organ boundaries in optical tomography

We propose a new numerical approach for solving the inverse problem in Optical Tomography (OT). In the proposed method the goal is to recover the shapes and locations of the organ boundaries based on intensity measurements on the boundary of the patient. The proposed method is based on the use of the finite element method and Fourier representation of the organ boundaries. The forward problem is formulated as a mapping from the Fourier coefficients γ representing the shapes and locations of the organ boundaries to the intensity data y, and then an iterative process which seeks for a boundary configuration γˆ minimising the residual norm between measured and predicted data is implemented for the inverse problem. Numerical test results suggests that our method is suitable for the detection of organ boundaries