Mathematics for various disciplines Adaptive Tikhonov Regularization for Inverse Problems

2008-08-06 10:30 - 2008-08-06 11:30
Graduate School of Mathematical Sciences the University of Tokyo, Room #056
Kazufumi Ito (North Carolina State University, USA)
Tikhonov regularization method plays a critical role in ill-posed inverse problems, arising in applications including computerized tomography, inverse scattering and image processing. The goodness of the inverse solution heavily depends on selection of the regularization parameter. Commonly used methods rely on a priori knowledge of the noise level. A method that automatically estimates the noise level and selects the regularization parameter automatically is presented.