title: Parameter estimation in Bayesian high-resolution image reconstruction with multisensors.
abstract: In this paper, we consider the estimation of the unknown parameters for the problem of reconstructing a high-resolution image from multiple undersampled, shifted, degraded frames with subpixel displacement errors. We derive mathematical expressions for the iterative calculation of the maximum likelihood estimate of the unknown parameters given the low resolution observed images. These iterative procedures require the manipulation of block-semi circulant (BSC) matrices, that is, block matrices with circulant blocks. We show how these BSC matrices can be easily manipulated in order to calculate the unknown parameters. Finally the proposed method is tested on real and synthetic images.
authors.affiliation: Departamento de Ciencias de la Computación e I.A. Universidad de Granada, 18071 Granada, Spain. rms@decsai.ugr.es
authors.forename: Rafael
authors.initials: R
authors.lastname: Molina
authors.forename: Miguel
authors.initials: M
authors.lastname: Vega
authors.forename: Javier
authors.initials: J
authors.lastname: Abad
authors.forename: Aggelos K
authors.initials: AK
authors.lastname: Katsaggelos