基于Morse复形的地表形态建模及应用研究

发布时间：2018-07-14 17:18

【摘要】：地形描述和表达是地学和空间信息学等学科研究的关键问题之一。作为一种精确的几何描述方式，数字高程模型(DEM)不能直接揭示地形表面的特征信息，有时还会带有大量的数据冗余，，而表面拓扑数据结构却能够对表面进行紧致而简洁的描述。为此，本文基于Morse复形，对地表形态模型构建及其在规则格网DEM简化应用中所涉及的部分关键技术问题进行了较为深入地探讨，主要研究内容包括：针对传统局部地表形态模型构建算法，提出了一种避免山谷线与山脊线在正则点处交叉的改进算法；并将之扩展应用于全球表面，总结了局部地表与全球地表在形态建模方法上的差异，全面完善了地表形态建模的方法；提出了一种基于拓扑简化的自适应选取规则格网DEM地形重要点的算法，并对其执行效率进行了优化；最后，应用GTOPO30、SRTM数据，设计并开发了实验原型系统，验证了本文所提算法的正确性、可行性。
[Abstract]:Topographic description and representation is one of the key problems in geoscience and spatial informatics. As an accurate geometric description, digital elevation model (Dem) can not reveal the characteristic information of terrain surface directly, and sometimes it has a lot of data redundancy, but the surface topological data structure can describe the surface compact and succinctly. In this paper, based on Morse complex, some key technical problems involved in the construction of surface morphology model and its simplified application in regular grid Dem are discussed. The main research contents are as follows: aiming at the traditional algorithm of constructing local surface shape model, an improved algorithm is proposed to avoid the intersection of valley line and ridge line at regular points, and the algorithm is extended to the global surface. In this paper, the differences between local surface and global surface in morphological modeling are summarized, and the method of surface morphological modeling is improved, and an adaptive algorithm based on topology simplification is proposed to select the important terrain points of regular grid Dem. Finally, an experimental prototype system based on GTOPO30 SRTM data is designed and developed, which verifies the correctness and feasibility of the proposed algorithm.
【学位授予单位】：中国矿业大学（北京）
【学位级别】：博士
【学位授予年份】：2014
【分类号】：P208

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