A sparse representation is known as a very powerful tool to solve image reconstruction problem such as denoising
and the single image super-resolution. In the sparse representation, it is assumed that an image patch or data
can be approximated by a linear combination of a few bases selected from a given dictionary. A single overcomplete
dictionary is usually learned with training patches. Dictionary learning methods almost are concerned
about building a general over-complete dictionary on the assumption that the bases in dictionary can represent
everything. However, using more appropriate dictionary, the sparse representation of patch can obtain better
results. In this paper, we propose a classification-and-reconstruction approach with multiple dictionaries. Before
learning dictionary for reconstruction, some representative bases can be used to classify all training patches
from database and multiple dictionaries for reconstruction can be learned by classified patches respectively. In
reconstruction phase, the patch of input image can be classified and the adaptive dictionary can be selected to
use. We demonstrate that the proposed classification-and-reconstruction approach outperforms existing sparse
representation with the single dictionary.
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