An efficient algorithm for superresolution in medium field imaging

Authors:
Andy C. Yau;N. K. Bose;Michael K. Ng
Affiliations:
Department of Mathematics, The University of Hong Kong, Hong Kong, Hong Kong;Department of Electrical Engineering, The Spatial and Temporal Signal Processing Center, The Pennsylvania State University, University Park, U.S.A 16802;Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Venue:
Multidimensional Systems and Signal Processing
Year:
2007

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Abstract

In this paper, we study the problem of reconstruction of a high-resolution (HR) image from several blurred low-resolution (LR) image frames in medium field. The image frames consist of blurred, decimated, and noisy versions of a HR image. The HR image is modeled as a Markov random field (MRF), and a maximum a posteriori (MAP) estimation technique is used for the restoration. We show that with the periodic boundary condition, a HR image can be restored efficiently by using fast Fourier transforms. We also apply the preconditioned conjugate gradient method to restore HR images in the aperiodic boundary condition. Computer simulations are given to illustrate the effectiveness of the proposed approach.