4.7 Article Proceedings Paper

Image Denoising Using a New Implementation of the Hyperanalytic Wavelet Transform

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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIM.2009.2016382

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Directional selectivity; hyperanalytic wavelet transform (HWT); image denoising; maximum a posteriori (MAP) filter

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Shift invariance associated with good directional selectivity is important for the use of a wavelet transform (WT) in many fields of image processing. Generally, complex wavelet transforms, e.g., the double-tree complex WT (DTCWT), have these useful properties. In this paper, we propose the use of a recently introduced implementation of such, a WT, namely, the hyperanalytic WT (HWT), in association with filtering techniques already used with the discrete WT (DWT). The result is a very simple and fast image denoising algorithm. Some simulation results and comparisons prove the performance obtained using the new method.

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