基于数学形态学的图像处理

On Handling Mathematical Morphology in Images

以形态为基础对图像处理的数学工具——数学形态学,是一种非线性滤波方法。从19世纪创立发展至今,已在不同领域得到广泛应用。数学形态学具有膨胀、腐蚀、开启和闭合四种基本运算,在图像处理中通过选择一定的结构元素,利用其基本性质对图像进行分割、噪声滤除、边缘检测等处理。但是,目前数学形态学在图像处理应用方面还面临一些问题,有待于进一步解决。今后,该门学科将会朝不同种类数学形态学快速算法的实现、优化结构元素的选取、形态运算的通用性及适应性等方向发展。

Mathematical Morphology(MM, China) is a non-linear filterable means on the basis of handled mathematical images handling. Since its setting-up from19th century, MM has been applied in many various fields. MM has four fundamental operations as follows: Dilation; Erosion; Opening and Closing. Through the chosen structure elements in images, MM is handled upon different images division, noise-filtering and marginal test. However, the applied MM still has some problems to be settled. Therefore, MM needs to develop in the direction of various MM speedy calculating, the different choices of structure elements and universal and suitable Morphology calculation.