title: Pseudodynamic systems approach based on a quadratic approximation of update equations for diffuse optical tomography.
abstract: We explore a pseudodynamic form of the quadratic parameter update equation for diffuse optical tomographic reconstruction from noisy data. A few explicit and implicit strategies for obtaining the parameter updates via a semianalytical integration of the pseudodynamic equations are proposed. Despite the ill-posedness of the inverse problem associated with diffuse optical tomography, adoption of the quadratic update scheme combined with the pseudotime integration appears not only to yield higher convergence, but also a muted sensitivity to the regularization parameters, which include the pseudotime step size for integration. These observations are validated through reconstructions with both numerically generated and experimentally acquired data.
authors.affiliation: Department of Physics, Indian Institute of Science, Bangalore 560012, India.
authors.forename: Samir Kumar
authors.initials: SK
authors.lastname: Biswas
authors.forename: Rajan
authors.initials: R
authors.lastname: Kanhirodan
authors.forename: Ram Mohan
authors.initials: RM
authors.lastname: Vasu
authors.forename: Debasish
authors.initials: D
authors.lastname: Roy