关键词: 词典序, 彩色形态学, 第一维向量, 优先级分布

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