数学形态学在数字图像处理领域中的应用越来越广泛，各种形态结构和算法不断涌现．数学形态学以集

合运算为基础，其基本思想是用具有一定形态的结构元去度量图像中的形态以解决理解问题．该文利用细胞神经

网络(CNN)，运用数学形态滤波适时、并行完成各种数学形态运算．文中给出了有关CNN的全局和局部稳定状态

的定理，证明CNN在一定的条件下可以通过动态过程的稳定达到数学形态滤波的结果．将其结果运用在煤矿井下

煤仓图像的预处理当中，取得了满意的结果．-Mathematical Morphology in the field of digital image processing used more and more widespread, various forms of structures and algorithms are emerging. Mathematical morphology in order to set

Co-operation based on the basic idea is to use a certain form of structural element to measure the image shape to solve the problem understanding. The paper, by using cellular neural

Network (CNN), using mathematical morphology filtering timely completion of various mathematical patterns in parallel computing. In this paper, on CNN s global and local steady state

Theorem, that under certain conditions CNN can be reached by the stability of the dynamic process of mathematical morphology filter results. Its results used in the coal mine

Bunker image preprocessing, obtaining satisfactory results.