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Image Denoising Using a New Implementation of the Hyperanalytic Wavelet Transform

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4 Author(s)
Firoiu, I. ; Commun. Dept., Politeh. Univ. of Timisoara, Timisoara, Romania ; Nafornita, C. ; Boucher, J.-M. ; Isar, A.

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.

Published in:

Instrumentation and Measurement, IEEE Transactions on  (Volume:58 ,  Issue: 8 )