数字高程模型生成中的高程序同构

基金项目: 国家自然科学基金资助项目(40424006,40471107,40571124,40701155)

详细信息

Elevation Order Isomorphism Characteristics of DEM

¹School of Resources and Environment Science,Wuhan University,129 Luoyu Road,Wuhan 430079,China;²Key Laboratory of Geographic Information System,Ministry of Education,Wuhan University,129 Luoyu Road,Wuhan 430079,China

Funds: 国家自然科学基金资助项目(40424006,40471107,40571124,40701155)

摘要: 通过揭示三维地面严密的高程有序性,揭示并定义了数字高程模型(DEM)生成中的高程序同构特性。在此基础上论证了DEM的高程序同构的必需条件——内插生成过程中与地面的拓扑对应和变换的“高处仍高,低处仍低”的数量特性,并据此论证了在DEM生成中三种主要内插方法的高程序同构特性。
- 数字高程模型 /
- 拓扑对应 /
- 高程序同构 /
- 线性内插 /
- 三角形线性内插 /
- 双一次拟线性内插
Abstract: We discover and define the order isomorphism characteristics of DEM,then point out that the order isomorphism characteristics of elevation is one of the most important theoretical problems of DEM.Based on it,we prove that the prerequisite qualifications of order isomorphism of DEM are the topological correspondence with ground during interpolation being generated.Moreover,we demonstrate that the order isomorphism characteristics of three main interpolation methods about DEM generation.
- DEM /
- topological correspondence /
- elevation order isomorphism /
- linear interpolation /
- triangle linear interpolation /
- double quasi-linearity interpolation