广义中值滤波理论及其性质的研究

Theory and Properties Researched on Generalized Median Filters

本文以传统的中值滤波为背景，给出了一种广义中值滤波（ＧＭＦ）的定义，并在此基础上，研究了有关数学模型、性质和基本定理。其效果不仅完善了中值类非线性滤波理论，而且还展示出一些有实用价值的新结构和新应用。

In this paper, based on the traditional median filters,we propose the definition of generalized median filters(GMF),present the mathematics model of GMF and discuss its related properties.The results show that GMF not only further improves the theory of median filters,but also displays some new structure and application.