基于四元数表示的彩色图像混合噪声去噪（英文）

Mixed noise removal for color images using quaternion representation

为了能够更加有效地恢复受混合高斯和脉冲噪声污染的彩色图像,采用基于四元数的彩色图像整体处理方案,提出了一种彩色图像混合噪声去噪算法.首先,通过一个纯四元数矩阵表征一幅彩色图像;然后,根据高斯噪声和脉冲噪声的不同特性,采用基于四元数方向矢量排序统计的算法检测脉冲噪声位置;最后,将针对高斯噪声的基于四元数最优权值的非局部均值滤波器进行改进以应用于混合噪声图像去噪,在权值计算时不考虑已被检测出的脉冲噪声点.对5幅标准图像的实验结果表明,所提算法的去噪效果优于目前常用的ROR-NLM(robust outlyingness ratio-nonlocal means)算法和最优权值混合滤波器.

In order to effectively restore color noisy images with the mixture of Gaussian noise and impulse noise,a new algorithm is proposed using the quaternion-based holistic processing idea for color images.First,a color image is represented by a pure quaternion matrix.Secondly,according to the different characteristics of the Gaussian noise and the impulse noise,an algorithm based on quaternion directional vector order statistics is used to detect the impulse noise. Finally,the quaternion optimal weights non-local means filter （QOWNLMF）for Gaussian noise removal is improved for the mixed noise removal.The detected impulse noise pixels are not considered in the calculation of weights.Experimental results on five standard images demonstrate that the proposed algorithm performs better than the commonly used robust outlyingness ratio-nonlocal means （ROR-NLM）algorithm and the optimal weights mixed filter （OWMF）.