一种优化高精度曲面建模的DEM构建方法A method of optimizing HASM for DEM construction
赵明伟,张扬,江岭,王春,孙京禄
摘要(Abstract):
针对当前高精度曲面建模方法在基于高程散点构建DEM过程中存在形态失真的问题,提出一种顾及地表形态变化特征的模型优化方法。通过局部计算区域的坐标系旋转,重新构建了计算格网点周围点的高程之间的约束方程关系。该研究采用理论数学曲面和实地高程采样数据进行精度验证实验,结果表明,基于优化后的高精度曲面建模方法构建的DEM在平均绝对值误差、误差最大值、均方根误差等误差指标上相对反距离加权、普通克里格和样条插值等经典插值方法均有明显改善。此外通过山体阴影等方式进行比较分析,表明优化后的方法构建的DEM具有更高的形态精度。
关键词(KeyWords): HASM;DEM;精度;空间内插
基金项目(Foundation): 国家自然科学基金项目(41701450,41571398,41501445);; 安徽省自然科学基金青年基金项目(1808085QD103,1608085QD77);; 安徽省教育厅高校自然科学研究重点项目(KJ2016A536);; 安徽省2017年公益性技术应用研究联动计划项目(1704f0704064)
作者(Author): 赵明伟,张扬,江岭,王春,孙京禄
DOI: 10.16251/j.cnki.1009-2307.2019.03.020
参考文献(References):
- [1]岳天祥,艾南山.冰斗形态的数学模型[J].冰川冻土,1990,12(3):227-234.(YUE Tianxiang,AI Nanshan.Themathematic model of cirque morphology[J].Journal ofGlaciology and Geocryology,1990,12(3):227-234.)
- [2]岳天祥,杜正平,刘纪远.高精度曲面建模与误差分析[J].自然科学进展,2004,14(2):83-89.(YUETianxiang,DU Zhengping,LIU Jiyuan.High accuracysurface modeling and the error analysis[J].Progressin Natural Science,2004,14(2):83-89.)
- [3]岳天祥,杜正平.高精度曲面建模:新一代GIS与CAD的核心模块[J].自然科学进展,2005,15(3):73-82.(YUE Tianxiang,DU Zhengping.High accuracy surfacemodeling:the core module of the new GIS and CAD[J].Progress in Natural Science,2005,15(3):73-82.)
- [4]岳天祥,杜正平,宋敦江.高精度曲面建模:HASM4[J].中国图象图形学报,2007,12(2):343-348.(YUETianxiang,DU Zhengping,SONG Dunjiang.Highaccuracy surface modeling:HASM4[J].Journal ofImage and Graphics,2007,12(2):343-348.)
- [5]YUE Tianxiang,DU Zhengping,SONG Dunjiang,et al.A new method of surface modeling and its appli-cation to DEM construction[J].Geomorphology,2007,91(1/2):161-172.
- [6]宋敦江,岳天祥,杜正平.一种由等高线构建DEM的新方法[J].武汉大学学报(信息科学版),2012,37(4):472-476.(SONG Dunjiang,YUE Tianxiang,DUZhengping.A new method of DEM generation fromcontour line[J].Geomatics and Information Science ofWuhan University,2012,37(4):472-476.)
- [7]YUE Tiangxiang,WANG Shihai.Adjustment computationof HASM:a high-accuracy and high-speed method[J].International Journal of Geographical InformationScience,2010,24(11):1725-1743.
- [8]YUE Tianxiang,CHEN Chuanfa,LI Bailian.Anadaptive method of high accuracy surface modeling andits application to simulating elevation surfaces[J].Transactions in GIS,2010,14(5):615-630.
- [9]闫长青,岳天祥.基于GPU的HASM动态模拟与实时渲染方法[J].地球信息科学学报.2012,14(2):149-157.(YAN Changqing,YUE Tianxiang.A novel methodfor dynamic modeling and real-time rendering based onGPU[J].Journal of Geo-Information Science,2012,14(2):149-157.)
- [10]赵明伟,岳天祥.高精度曲面建模方法研究进展与分类[J].地理科学进展,2016,35(4):401-408.(ZHAOMingwei,YUE Tianxiang.Classification of highaccuracy surface modeling(HASM)and their recentdevelopments[J].Progress in Geography,2016,35(4):401-408.)
- [11]赵娜,岳天祥.高精度曲面建模的一种快速算法[J].地球信息科学学报,2012,14(3):281-285.(ZHAO Na,YUE Tianxiang.Fast methods for high accuracysurface modeling[J].Journal of Geo-InformationScience,2012,14(3):281-285.)
- [12]宋印军,岳天祥.基于多重网格法求解的高精度曲面建模模型[J].武汉大学学报(信息科学版),2009,34(6):711-714.(SONG Yinjun,YUE Tianxiang.Highaccuracy surface modeling based on multi-grid method[J].Geomatics and Information Science of WuhanUniversity,2009,34(6):711-714.)
- [13]SOMASUNDARAM D.Differential geometry[M].Harrow,U.K.:Alpha Science International Ltd,2005:382-405.
- [14]ZHAO Na,YUE Tianxiang,ZHAO Mingwei,et al.Sensitivity studies of a high accuracy surface modelingmethod[J].Science China Earth Sciences,2014,57(10):2386-2396.
- [15]赵明伟,岳天祥,赵娜.基于改进差分格式的高精度曲面建模优化方案研究[J].中国图象图形学报,2014,19(2):290-296.(ZHAO Mingwei,YUE Tianxiang,ZHAO Na.HASM optimization based on the improveddifference scheme[J].Journal of Image and Graphics,2014,19(2):290-296.)