矢量中值滤波器是一种经典和高效的矢量滤波器,主要用于消除彩色图像中的冲击噪声。然而VMF没有区分细线条和噪声的能力,它往往把细线条当成噪声而过滤掉。本文利用四元数旋转理论,模仿Laplacian算子,提出一种用于检测彩色图像中的冲击噪声的算法,并结合传统的VMF构造出一个新颖的开关型矢量中值滤波器。实验结果表明,新的滤波器不仅能有效地保护细线条和边界等细节信息,而且其滤波性能也明显胜过传统的VMF和一些经典的及最近开发的矢量滤波器。

Vector median filter(VMF)is a kind of traditional highly effective vector filter which is mainly used to remove impulsive noise from color images.But it fails to distinguish thin lines and boundaries from impulsive noise,and usually filter them out.This paper analyzes quaternion rotation theory and its applications to color image processing.Based on this analysis and by imitating Laplacian operators,a new color impulse detector is presented.Combining this color impulse detector with the traditional VMF,a new kind of switching vector median filters is proposed.The experimental results show that,compared with the traditional VMF and some of the representative vector filters and recently developed vector filters,uhe proposed approach,not only effectively preserves the fine details,but also provides better filtering performance.