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Fernandes, F., van Spaendonck, R., Coates, M.J. and Burrus, S. (2000) Directional Complex Wavelet Processing. In: Aldroubi, A., Laine, A.F. and Unser, M.A., Eds., Wavelet Applications in Signal and Image Processing VIII, Vol. 4119, SPIE, Bellingham, 536-546.
https://doi.org/10.1117/12.408642

has been cited by the following article:

• TITLE: Adaptive Hybrid Bivariate Double Density Discrete and Complex Wavelet for Image Denoising

  AUTHORS: Gamal Fahmy, Mamdouh F. Fahmy, Omar Fahmy

  KEYWORDS: Complex Wavelet, Image Deniosing, Double Density Wavelets

  JOURNAL NAME: Journal of Computer and Communications, Vol.11 No.2, February 27, 2023

  ABSTRACT: Image denoising is an important step in eliminating any noise impact in any image transmission process. Recently we presented two approaches for Bivariate based image denoising. They were Double Density Discrete Wavelet Transform (DD DWT) and Double Density Dual Tree Complex Wavelet Transform (DD CWT). In both techniques we decomposed noisy images with either DD DWT or DD CWT decompositions and then applied the Bivariate based denoising technique for noise removal. In this paper we propose an adaptive hybrid technique for Bivariate based image denoising that is based on the synthesis of DD-DWT bands or DD-CWT bands but with different weights, to deliver enhanced image features with less denoising impact especially around image edges, which is the most effected by noisy transmission channels. This proposed technique has been also enhanced by edge sharpening and Eigen analysis, as two separate stages. Simulation result comparisons have been performed between the proposed hybrid band adaptive DD-DWT and DD-CWT technique and the two primary techniques DD-DWT, DD- CWT, as well as other superior literature techniques such the original bivariate denoising technique with both original Complex Wavelet Transform and Double Density decompositions. This work in specific compares between Double Density DWT and Double Density CWT decompositions, proposes new filter design that suits each of them and proposes a hybrid technique between as will be shown.