测绘学报 ›› 2016, Vol. 45 ›› Issue (1): 112-118.doi: 10.11947/j.AGCS.2016.20140598

• 地图学与地理信息 • 上一篇    下一篇

一种改进的近似等面积QTM剖分模型

赵学胜, 苑争一, 赵龙飞, 朱思坤   

  1. 中国矿业大学(北京)地球科学与测绘工程学院, 北京 100083
  • 收稿日期:2014-11-17 修回日期:2015-06-25 出版日期:2016-01-20 发布日期:2016-01-28
  • 通讯作者: 苑争一, yuanzhengyi001@163.com E-mail:yuanzhengyi001@163.com
  • 作者简介:赵学胜(1967—),男,教授,研究方向为全球离散格网建模与三维可视化。
  • 基金资助:
    国家自然科学基金面上项目(41171306);国家自然科学基金青年项目(41201416)

An Improved QTM Subdivision Model with Approximate Equal-area

ZHAO Xuesheng, YUAN Zhengyi, ZHAO Longfei, ZHU Sikun   

  1. College of Geoscience and Surveying Engineering, China University of Mining & Technology(Beijing), Beijing 100083, China
  • Received:2014-11-17 Revised:2015-06-25 Online:2016-01-20 Published:2016-01-28
  • Supported by:
    General Program of the National Natural Science Foundation of China(No. 41171306);Young Program of the National Natural Science Foundation of China(No. 41201416)

摘要: 为克服传统QTM格网面积变形较大的缺陷,在“纬线法”剖分的基础上,引入变经纬度等面积剖分的思想,提出了一种新的等面积改进剖分模型。该模型通过调整纬线的位置,确保两条相邻纬线间的格网面积总和无变化,从而达到控制QTM格网面积变化及变化积累的目的。试验结果表明,该改进模型在保留了“纬线法”QTM剖分的优点(如计算简单、与经纬度格网间的对应关系明确等)以外,还具有以下优势:①模型的收敛性更好,格网单元面积最大、最小比最终收敛到1.38,远小于“纬线法”的1.73;②中低纬度区的格网单元面积变化较小,分布连续,且随剖分层次的增加,变化大的格网区域逐渐向两极移动集中;③格网单元的面积变化不会随层次的增加而累积增大。

关键词: 全球离散格网, 四元三角网, 纬线环, 格网几何变形

Abstract: To overcome the defect of large area deformation in the traditional QTM subdivision model, an improved subdivision model is proposed which based on the “parallel method” and the thought of the equal area subdivision with changed-longitude-latitude. By adjusting the position of the parallel, this model ensures that the grid area between two adjacent parallels combined with no variation, so as to control area variation and variation accumulation of the QTM grid. The experimental results show that this improved model not only remains some advantages of the traditional QTM model(such as the simple calculation and the clear corresponding relationship with longitude/latitude grid, etc), but also has the following advantages: ①this improved model has a better convergence than the traditional one. The ratio of area_max/min finally converges to 1.38, far less than 1.73 of the “parallel method”; ②the grid units in middle and low latitude regions have small area variations and successive distributions; meanwhile, with the increase of subdivision level, the grid units with large variations gradually concentrate to the poles; ③the area variation of grid unit will not cumulate with the increasing of subdivision level.

Key words: discrete global grid system, QTM, parallel ring method, geometry deformation of grid

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