基于四元小波变换自适应双变量模型的图像去噪

Image Denoising Algorithm Using Adaptive Bivariate Model Based on Quaternion Wavelet Transform

提出一种新的基于四元小波变换自适应双变量模型的图像去噪算法.在四元小波变换域,以自适应双变量模型作为先验模型,对图像相邻尺度分解系数的稀疏分布进行建模,充分挖掘分解系数之间的统计相关性,采用Newton-Raphson迭代方法估计尺度间边缘系数的方差,在贝叶斯最大后验概率估计理论框架下对图像进行去噪处理.此算法取得了更优的去噪性能.

A new method for image denoisng which combined quaternion wavelet transform(QWT)and adaptive bivariate model has been proposed.The adaptive bivariate model is used to describe inter-scale statistical correlation of the QWT decomposition coefficients.The Newton-Rapson is applied to estimate the marginal coefficient variance.Then the image denoising is done under the framework of Bayesian MAP estimation theory.The proposed algorithm outperforms in terms of denoising performance,peak signal to noise ratio,edge and texture information preservation.