基于模糊距离的模糊标量和向量中值滤波器。

Fuzzy scalar and vector median filters based on fuzzy distances.

出版信息

IEEE Trans Image Process. 1999;8(5):731-4. doi: 10.1109/83.760339.

Abstract

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.

摘要

本文提出了模糊标量中位数（FSM），它是通过基于模糊最小和最大运算的排序来定义的，模糊最小和最大运算通过扩展原理定义。或者，可以通过最小化模糊距离度量来定义 FSM，并证明这两种定义是等价的。然后，基于模糊向量的一种新的距离定义，提出了模糊向量中位数（FVM）作为向量中位数的扩展，该距离定义满足角分解的性质。通过适当定义值的模糊性，可以成功地将经典标量和向量中位数（VM）滤波器的基本特性与其他理想特性相结合。