浅析数学形态学在图像处理中的应用

摘要

数学形态学是一种基于集合论的方法和理论，其基本思想是利用一个结构元素去探测一个图像，通过目标图像的形态变换实现结构分析和特征提取的目的。本文在系统推导了数学形态学的基本运算和理论依据的基础上，对数字图像处理中的基础应用和形态学中的图像边缘检测算法展开了深入的分析，并围绕形态学图像边缘处理的抗噪边缘检测进行了优化处理。%M athem aticalm orphology is a m ethod and theory based on settheory w hose basic idea is to use a structure elem entto detectan im age and achieve purposesofm orphologicaltransform structuralanalysisand feature extraction by transform ing the targetim age.Thispaperdescribesthe m athem aticalm orphology in im age processing applications,researchsderive the basic m athem aticalm orphology operationsand theoreticalbasis.A nd basic m athe-m aticalim age processing applicationsand m orphology ofthe im age edge detection algorithm conducted in-depth re-search,deep analysisofthe traditionaledge detection operatorand m orphologicalim age edge detection operatordif-ferencesareconducted.A nd im ageprocessing edgedetection noiseareoptim ized around theedgem orphological.