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Deconvolution by thresholding in mirror wavelet bases
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DOI：10.1109/TIP.2003.810592.png)
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The deconvolution of signals is studied with thresholding estimators that decompose signals in an orthonormal basis and threshold the resulting coefficients. A general criterion is established to choose the orthonormal basis in order to minimize the estimation risk. Wavelet bases are highly sub-optimal to restore Signals and images blurred by a low-pass filter whose transfer function vanishes at high frequencies. A new orthonormal basis called mirror wavelet basis is constructed to minimize the risk for such deconvolutions. An application to the restoration of satellite images is shown.
Keyword:
deconvolution
inverse problem
thresholding
wavelet packets
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期刊
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13.7
论文数:
1.0W
被引数:
8.4W
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