Abstract
Super-resolution image reconstruction refers to obtaining an image at a resolution higher than that of a camera (sensor) used in recording the image. In this paper, we present a new joint minimization model in which an objective function is set up consisting of three terms: the data fitting term, the regularization terms for the reconstructed image and the observed low-resolution images. An alternating minimization iterative algorithm is proposed and developed to reconstruct the image. We give a convergence analysis of the alternating minimization iterative algorithm and show that it converges for H1-norm regularization Functional. Numerical examples are given to illustrate the effectiveness of the joint minimization model and the efficiency of the algorithm.
Original language | English |
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Pages (from-to) | 271-281 |
Number of pages | 11 |
Journal | Numerical Linear Algebra with Applications |
Volume | 12 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - Mar 2005 |
Scopus Subject Areas
- Algebra and Number Theory
- Applied Mathematics
User-Defined Keywords
- Cosine transform
- Image reconstruction
- Joint minimization
- Toeplitz matrices