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1. 南京师范大学 虚拟地理环境教育部重点实验室，江苏 南京210023；
2. 常州市基础地理勘测中心，江苏 常州 213003；
3. 南通大学 地理科学学院，江苏 南通 226007

A Multi-constraints Displacement Method for Solving Spatial Conflict between Contours and Rivers
LI Guohui1, XU Wenshuai2, LONG Yi1 , ZHOU Tong1,3, GAO Chao1
1. Key Laboratory of Virtual Geographic Environment of Ministry of Education, Nanjing Normal University, Nanjing 210023, China;
2. Basic Geographic Surveying Center of Changzhou, Changzhou 213003, China;
3. School of Geographic Science, Nantong University, Nantong 226007, China
First author: LI Guohui(1989—), male, postgraduate, majors in map generalization. E-mail： 993159737@qq.com
Corresponding author: LONG Yi E-mail: longyi@njnu.edu.cn
Abstract: In the process of spatial data integration and matching, the inconsistency often occurs between the rivers and contour lines that generate some spatial conflicts just like river climbing slope. Aiming to solve the problem by displacing the contours to matching the river network, this paper put forward a new method for every feature point on contour lines to establish specially its displacement model by affine transformation. The method comprehensively considered relative positions of adjacent ridge and valley points, the angle proportion of different feature points for displacing and local shape of contours to be maintained and transformed, so that the calculation of three constrained parameters determine the displacement of points on the contours that is angle, location and scaling was proposed. To test the method, several experiments were taken to analysis. The results showed that the research can effectively complete the displacement of contour lines to match the river network.
Key words: spatial data matching     contour     river     displacement
1 引 言

2 相关概念与方法基础 2.1 相关概念 2.1.1 坡段

2.1.2 坡弧

2.2 基本思路

2.3 地形特征及其提取

2.4 仿射变换

3 等高线匹配与河流的一致性改正 3.1 等高线与河流不一致性探测

 图 1 不一致性探测 Fig. 1 Detecting the inconsistency

 图 2 错误的匹配关系[1] Fig. 2 Wrong matching relation[1]
3.2 等高线移位

3.2.1 角度约束

 图 3 确立仿射变换模型 Fig. 3 Building the affine transformation model
3.2.2 位置约束

 图 4 一致性改正过程 Fig. 4 Process of consistency correcting

 图 5 等高线移位后产生冲突 Fig. 5 Conflicts generated from displacing the contours
3.2.3 缩放约束

 图 6 移位缩放比例系数计算 Fig. 6 Calculating the zoom coefficient of displacement

 图 7 一致性改正结果 Fig. 7 Results of consistency correcting
4 试验验证

 图 8 试验结果 Fig. 8 Result of experiments

 图 9 等高线移位的局部跳动现象 Fig. 9 Local flop in displacement of contour

5 结 论

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http://dx.doi.org/10.13485/j.cnki.11-2089.2014.0185

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#### 文章信息

LI Guohui, XU Wenshuai, LONG Yi, et al

A Multi-constraints Displacement Method for Solving Spatial Conflict between Contours and Rivers

Acta Geodaeticaet Cartographica Sinica, 2014, 43(11): 1204-1210.
http://dx.doi.org/10.13485/j.cnki.11-2089.2014.0185