Analysis of the Errors in Locally Adaptive Wavelet Domain Wiener Filter and Image Denoising

Jian Liu · ACTA PHOTONICA SINICA · 2007

The estimation error occurring in locally adaptive wavelet domain Wiener filter is analyzed theoretically and the expected square error is derived,thus resulting in a threshold for local variance estimation of observed wavelet coefficients.Based on the analysis,the paper proposes a wavelet domain image denoising algorithm,in which the observed wavelet coefficients are firstly thresholding,and then locally adaptive Wiener filtering is implemented.Experiment results demonstrate that the presented method has improved the accuracy of variance estimation,and yielded better denoising performance comparing with Mihcak′s LAWML algorithm.

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