Multichannel restoration of single channel images using a wavelet decomposition
- 1 January 1993
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 37 (15206149) , 281-284 vol.5
- https://doi.org/10.1109/icassp.1993.319802
Abstract
Multichannel linear filtering is applied to the restoration of single-channel images through the use of a wavelet decomposition. A novel matrix structure for the separable 2-D wavelet transform is presented which allows the transformation of block circulant operators, found in 2-D linear filtering problems, into semiblock circulant operators, which are defined here. These operators are easily treated as block diagonal matrices in the wavelet-frequency domain. An adaptive Wiener filter is implemented in this domain, which uses the cross-correlations between subbands in the decomposition to improve substantially the restoration of noisy-blurred images over that found with single-channel filtering. This improvement is especially evident when the power spectrum of the original image is available.Keywords
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