An iterative approach to tensor tomography

Investigates the iterative reconstruction of the tensor field in magnetic resonance imaging (MRI) diffusion tensor imaging. In this application, projections represent line-integrals of the spin density function weighted by an exponential term of another scalar function, which is a function diffusion tensor components. Assuming a known spin density function, the reconstruction problem becomes the task of inverting a modified exponential Radon transform. An iterative method was developed for inverting the transform. A computer generated phantom was used to simulate the diffusion tensor in a cardiac MRI study. The diffusion model in this study depends upon the fiber structure of the myocardium. Computer simulations verify that the proposed method provides accurate reconstructions from noise-free and noisy projection data