Fuzzy scalar and vector median filters based on fuzzy distances

被引：36

作者：

Chatzis, V ^{[1
]}

Pitas, I ^{[1
]}

机构：

[1] Aristotelian Univ Salonika, Dept Informat, GR-54006 Salonika, Greece

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 1999年 / 8卷 / 05期

关键词：

fuzzy distance; fuzzy filtering; fuzzy median; fuzzy vector;

D O I：

10.1109/83.760339

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the fuzzy scalar median (FSM) is proposed, defined by using ordering of fuzzy numbers based on fuzzy minimum and maximum operations defined by using the extension principle, Alternatively, the FSM is defined from the minimization of a fuzzy distance measure, and the equivalence of the two definitions is proven. Then, the fuzzy vector median (FVM) is proposed as an extension of vector median, based on a novel distance definition of fuzzy vectors, which satisfy the property of angle decomposition. By defining properly the fuzziness of a value, the combination of the basic properties of the classical scalar and vector median (VM) filter with other desirable characteristics can be succeeded.

引用

页码：731 / 734

页数：4