数字地图图像的基本形态学变换和结构元素的分解

The Basic Morphologic Trasformation and Structuring Element Decomposing of Digital Map Image

本文是作者关于“数学形态学与数字地图图像的分析和识别”研究成果的一部分。文章提出了地图图形的集合概念和地图图像形态分析的基元确定原则,证明了结构元素的基元最小分解定理;同时,介绍了基本的形态学变换,统一并扩展了带约束条件的数学形态学变换模型;从而,奠定了数字地图图像分析和识别的数学基础。

This paper is a part of the research result of mathematical morphology, digital image analysis and recognition of the map. The paper presented a new concept of map graph subset and the principle determining basic element of morphologic analysis of map image, and proved a minimun decomposing theorems of basic element of structuring element. The basic morphologic transformation is also introduced, and the mathematical morphlology transformation model with control conditions are also unified and expanded. Then, the mathematical basis for digital map image analysis and recognition is established.