张力样条函数在雨量等值线光滑中的应用研究  

Application of the Tension Spline Function in Rainfall Isofinc Smoothing

作　　者：迟文学[1] 吴信才[1] 于海洋[1] 张伟[2] 

机构地区：[1]中国地质大学,北京100083 [2]临沂师范学院,山东临沂276006

出　　处：《水文》2007年第1期22-25,共4页Journal of China Hydrology

基　　金：国家科技攻关计划项目"城市规划;建设;管理与服务数字化工程"(2002BA107B03)

摘　　要：本文针对绘制雨量等值线的特点,指出了其他算法对等值线追踪完成后进行光滑时存在的缺点。介绍了张力样条函数的数学原理及其在等值线光滑应用上的优点。经过研究可知,张力样条函数可根据追踪等值线过程中节点的疏密程度自动调整张力系数,解决了光滑邻近等值线时相交这一个棘手的问题。在绘制北京市平谷地区雨量等值线图过程中,应用张力样条函数算法光滑后的雨量等值线图达到了很好的效果。This paper pointed out the shortcomings of other algorithms in the process of isoline smoothing after completing isoline tracking for the features of drawing rainfall isoline. The mathematical theory and merit of tension spline function in rainfall isoline smoothing were also introduced. The study shows that the tension spline function can adjust the coefficients automatically in terms of the node generating in the isoline tracking process, which resolves the intractable intersecting problem of the adjacent isoline smoothing. The rainfall isoline smoothed by the tension spline function algorithm in the process of making rainfall isoline map of Beijing Pinggu District has much better effects.

关 键 词：张力样条函数 等值线 曲线光滑 张力系数 雨量 GIS 

分 类 号：P332.1[天文地球—水文科学]