数学形态学腐蚀膨胀运算的快速算法

详细介绍了一种二值数学形态学腐蚀膨胀运算的优化实现方法。图像处理中常常利用二值数学形态学开闭运算对分割出的区域进行边缘平滑和内部填充处理等,但当结构元素较大时运算速度变得很慢。由于开闭运算的基础是腐蚀和膨胀运算,文章重新对这两种运算做了优化,有效地提高了数学形态学用于二值图像处理的速度。该方法较之结构元素分解的方法有理论基础简单、优化思路简捷、实现方便等优点。

A Fast Arithmetic for the Erosion and Dilation Operations of Mathematical Morphology

This article presents an optimized method for erosion and dilation operations in binary mathematical morphology.In image processing,the open and close operation of binary mathematical morphology is usually used to process segmented image area,such as edge smoothing,holes filling,and so forth.However,it becomes very slow when the structuring element is large.We gave the erosion and dilation operations an optimized redesign for their being the fundamental operations of open and close,and effectively increased the speed of the process that the mathematic morphology is used to deal with images.This method,which compared with means of structuring element decomposition, has an easier theory foundation, simpler optimizing design ,and is convenient to realize.