研究数学形态学的二值形态学、灰度形态学的腐蚀、膨胀、开启和闭合四种基本运算，利用这4种基本运算消除图像噪声。本文在总结和分析了数学形态学的基本理论及其应用的基础上，用MATLAB编程实现消除图像噪声。仿真结果表明，本文应用二值形态学和灰度形态学去除图像噪声具有较好的效果，并有一定的实用性。-Study on binary mathematical morphology morphology, grayscale morphology of corrosion, expansion of open and closed four basic operations, use of these four kinds of basic computing to eliminate the image noise. In this paper, summarizing and analyzing the basic theory of mathematical morphology and its applications based on programming using MATLAB realize the elimination of image noise. Simulation results show that the application of binary gray-scale morphology and morphological image noise removal with good results, and have a certain degree of practicality.