摘要
本文将顺序统计量的思想引入函数的分析,提出函数的百分位值及序化函数的新概念,考察函数百分位的代数几何属性,证明序化函数的若干重要结论,介绍函数的百分位形态变换及其形态函数、形态特征参量等形态分析的新方法;并阐述它们在随机过程与图象分析中的应用.
In this paper, order statistics has been introduced into function analysis.The concept of percentile of function is proposed.The algebraic and geometric properties of percentile of function are described.Some of important theorems of ordered function are investigated.The application of percentile of function and ordered function to the random process and image analysis are briefly discussed.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
1990年第2期54-63,共10页
Journal of East China Normal University(Natural Science)
基金
"北京大学视觉与听觉信息处理国家实验室"基金
关键词
函数
百分位值
序化
顺序统计量
percentile of function ordered function simple transform morphological function
