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Based on traditional wavelet image denoising model, studies the quaternion, the application of wavelet transform in image denoising, quaternions are given three on the wavelet transform domain image denoising model and algorithm: (1) based on quaternion wavelet hidden markov tree model of image denoising; (2) based on quaternion wavelet transform non-gaussian bivariate distribution image denoising algorithm of bayesian statistical model; (3) based on quaternion mixing statistical model of wavelet image denoising. Experiments show that: in this paper, the denoising effect of these methods, in both the peak signal-to-noise ratio and the visual effects are better than many classic denoising algorithms.

The Method of Quaternions Wavelet Image Denoising