数学形态学的数学基础和所用语言是集合论，因此它具有完备的数学基础，这为形态学用于图像分析和处理、形态滤波器的特性分析和系统设计奠定了坚实的基础。数学形态学的应用可以简化图像数据，保持它们基本的形状特性，并除去不相干的结构。数学形态学的算法具有天然的并行实现的结构， 实现了形态学分析和处理算法的并行，大大提高了图像分析和处理的速度。-The mathematical basis of mathematical morphology and the language is set theory, so it has a complete mathematical basis for the morphology for image analysis and processing, morphological analysis of the characteristics of filter and system design has laid a solid foundation. Application of mathematical morphology can be simplified image data, and maintain their basic shape characteristics, and to remove extraneous structures. Morphology of the parallel algorithm has a natural realization of the structure, the realization of a morphological analysis and parallel processing algorithms, which greatly raised the image analysis and processing speed.