彩色图像矢量形态学处理中,针对矢量排序准则存在模糊性和片面性等缺点,提出一种新的矢量排序方法。首先根据在均匀的Lab空间中,颜色之间视觉上的差距与颜色坐标上的欧几里得距离成正比的特点,将量化后的色差大小作矢量排序准则;然后利用四元数法建立彩色图像模型和形态学结构元素模型,在此基础上定义新的彩色形态学基本运算子;最后研究了矢量形态学图像处理算法,对比了本文方法和HSV矢量排序法的应用效果。实验结果表明,本文方法能较好地用于提取图像边缘和去除椒盐噪声。

During the vector morphology processing of color image, the criterion of vector ordering is vague and one-sided. A new method of vector ordering is proposed in this paper. The gap between the visual colors is proportional to the Euclidean distance in the lab uniform color space coordinate system, and this characteristic is used to calculate the color difference, which is used as the criterion of vector ordering. The color image quaternion model and morphology structure element quaternion model are established to delimit the new morphology operators. At last, this method is used in some applications and compared with the HSV method. The experimental results show that it is better to use the proposed method to extract the image edges and reduce the salt & pepper noise.