title: A computationally efficient superresolution image reconstruction algorithm.
abstract: Superresolution reconstruction produces a high-resolution image from a set of low-resolution images. Previous iterative methods for superresolution had not adequately addressed the computational and numerical issues for this ill-conditioned and typically underdetermined large scale problem. We propose efficient block circulant preconditioners for solving the Tikhonov-regularized superresolution problem by the conjugate gradient method. We also extend to underdetermined systems the derivation of the generalized cross-validation method for automatic calculation of regularization parameters. The effectiveness of our preconditioners and regularization techniques is demonstrated with superresolution results for a simulated sequence and a forward looking infrared (FLIR) camera image sequence.
authors.affiliation: Department of Electrical Engineering, University of California, Santa Cruz, CA 95064, USA. milanfar@cse.ucsc.edu
authors.forename: N
authors.initials: N
authors.lastname: Nguyen
authors.forename: P
authors.initials: P
authors.lastname: Milanfar
authors.forename: G
authors.initials: G
authors.lastname: Golub