彩色图像四元数矩不变量的研究

为了研究彩色图像的矩不变量特性,采用四元数进行彩色图像处理,以充分利用彩色图像的整体信息,实现彩色图像RGB并行处理。本文把传统灰度图像的矩不变量理论推广应用到四元数层面上来,定义了彩色图像的四元数矩并构造了该矩函数的仿射不变量。实验结果表明：所提出的彩色图像的四元数矩不变量的稳定性要优于L.V.Gool等人提出的彩色矩仿射不变量,其σ/u值提高了2个数量级。所提出的四元数仿射矩不变量可以作为模式识别中彩色目标的特征描述子来实现彩色图像目标的识别与跟踪。

Quaternion moment invariant for color image

In order to study moment invariants of color images,the quaternion is used to process color images and to implement the parallel processing of R,G and B components.Traditional complex moments for graylevel images are introduced to the quaternion,and the quaternion moments for describing a color image are presented.Then,the quaternion affine moment invariants are derived.Experimental results show that the stability of this method is superior to that of L.V.Gool′s color affine moment invariants,and the value of σ/u have be improved by two orders of magnitude.The proposed quaternion moment invariants could be a useful tool in color pattern recognition and tracking.