形态滤波器结构元的自适应优化算法

STRUCTURING ELEMENT ADAPTIVE OPTIMIZATION ALGORITHM OF MORPHOLOGICAL FILTERS

该文提出了一种实现形态滤波器结构元优化设计的自适应算法,自适应过程类似于经典的最小均方(LMS)算法。通过将腐蚀与膨胀运算用隐函数表示,推导出腐蚀与膨胀运算中结构元的优化公式,由此进一步可得到任意组合形态滤波器的自适应优化公式。仿真实验表明该算法改善了形态滤波器的性能,具有设计简便、实用性强的特点。

This paper presents an adaptive algorithm to design optimal structuring element of morphological filters. The adaptation process is similar to the classical Least Mean Square (LMS) algorithm. At first, the optimization formulas of the structuring element are derived in the case of erosion and dilation. Then, adaptation formulas for an arbitrary composition of erosions and dilations are obtained. The simulation experimental results show that the method improves the performances of morphological filters and has properties of easy design and good practicability.