基于非均匀B样条曲面的DTM内插模型  

DTM interpolation model based on non-uniform B-splines

作　　者：朱长青[1,2] 张真[3] 江南[3] 田岩[4] 

机构地区：[1]中国科学院测量与地球物理研究所 [2]解放军信息工程大学测绘学院,河南郑州450052 [3]解放军信息工程大学测绘学院 [4]华中科技大学电子与信息工程系

出　　处：《华中科技大学学报（自然科学版）》2006年第4期45-48,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家重点基础研究发展计划资助项目(2006CB701302);国家自然科学基金资助项目(40401052;40501058);国家高技术研究发展计划资助项目(2005AA133013).

摘　　要：对非均匀B样条曲面在数字地面模型(DTM)内插中的应用进行了研究,首先探讨了非均匀B样条曲面基本理论及其最小二乘解法,然后提出了基于非均匀B样条曲面的DTM内插算法,最后利用提出的B样条算法与目前一些常用的内插算法,对数学曲面与实际地形进行了试验和比较.试验结果表明B样条算法具有良好的精度和稳定性,能较好地改善在构建DTM时常出现的“梯田”现象.The application of non-uniform B-spline surface in the DTM interpolation is studied. The basic principle of non-uniform B-spline surface and its least squares solution were discussed, and the DTM interpolation algorithm based on non-uniform B-spline surface is established. The mathematical surfaces and the real terrain are experimented and analyzed using the developed B-spline algorithm and other interpolation algorithms. The experiments showed that B-spline algorithm with better precision and stability will better eliminate thorny terrace phenomenon which often happened in the DTM construction.

关 键 词：非均匀B样条 最小二乘 数字地面模型(DTM) 内插 误差 精度 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]