Deconvolution by thresholding in mirror wavelet bases

28 May 2003

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Image Processing

Vol. 12 (4) , 446-457
https://doi.org/10.1109/tip.2003.810592

Abstract

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.

Keywords

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