Abstract: Vector ordering becomes indispensable for the application to color morphology.The main drawback of traditional lexicographical ordering is the excessive priority attributed to the first vector dimension.In allusion to the instance，a generalization of α-modulus lexicographical ordering is introduced.It is possible to accommodate any quantization function and reduce contributions of the preceding components in ordering.The improved approach is applied to color image processing，compared with traditional lexicographical ordering color morphological operators，experiments demonstrate that it has better color vector preserving，better noise reduction and segmentation performance.

Key words: lexicographical ordering, color morphology, the first vector dimension, priority distribution

摘要： 向量排序是彩色形态学应用中的关键问题。针对传统词典序中过度优先第一维向量的不足，提出一种基于α模数的一般词典序方法，能任意调整量化函数，降低排列在先的分量作用。将其应用到彩色图像处理中，与传统的词典序彩色形态学算子相比，实验结果表明算法具有出色的向量保持能力，显示出更优的降噪与图像分割性能。

关键词: 词典序, 彩色形态学, 第一维向量, 优先级分布