Traditional super-resolution(SR)reconstruction algorithm converges slowly
and is easily vulnerable to noise. We propose a novel single image SR reconstruction algorithm
which combines low rank matrix recovery with the sparse reconstruction theory. For a degraded image
the low rank part and the sparse part are obtained by the low rank matrix recovery theory firstly. The low rank part contains almost all information of the original image
and the sparse part is composed of noise. Then the sparse reconstruction theory is used to get the final reconstructed image on the low rank part with low and high resolution dictionary pair. Experimental results demonstrate that the proposed algorithm is robust to noise
gains clear visual appearance and high efficiency
and achieves a desirable improvement of 4 dB averagely compared with SPBSR.
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