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Blind single-image super resolution based on compressive sensing
Institution:1. Amirkabir University of Technology, Department of Electrical Engineering, No. 424, Hafez Ave, PO Box 15875-4413, Tehran, Iran;2. University of Victoria, Department of Electrical Engineering, Canada;1. Graduate Institute of Mathematics and Science Education, National Chiayi University, Chiayi 621, Taiwan, ROC;2. Department of Computer Science and Information Engineering, National Chiayi University, Chiayi 600, Taiwan, ROC;1. Faculty of Information Science and Engineering, Ningbo University, Ningbo 315211, China;2. School of Information and Mechatronics, Gwangju Institute of Science and Technology (GIST), Gwangju 500-712, Republic of Korea;1. Faculty of Information Science and Technology, Multimedia University, Jalan Ayer Keroh Lama, 75450 Melaka, Malaysia;2. Faculty of Engineering and Technology, Multimedia University, Jalan Ayer Keroh Lama, 75450 Melaka, Malaysia
Abstract:Blind super resolution is an interesting area in image processing that can restore high resolution (HR) image without requiring prior information of the volatile point spread function (PSF). In this paper, a novel framework is proposed for blind single-image super resolution (SISR) problem based on compressive sensing (CS) framework that is one of the first works that considers general PSFs. The fundamental idea in the proposed approach is to use sparsity on a known sparse transform domain as a powerful regularizer in both the image and blur domains. Therefore, a new cost function with respect to the unknown HR image patch and PSF kernel is presented and minimization is performed based on two subproblems that are modeled similar to that of CS. Simulation results demonstrate the effectiveness of the proposed algorithm that is competitive with methods that use multiple LR images to achieve a single HR image.
Keywords:Blind single-image super resolution  Point spread function  Compressive sensing  Kernel principal component analysis  Feature space  Alternative minimization  Overcomplete dictionary
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