A robust method of thin plate spline and its application to DEM construction

	A robust method of thin plate spline and its application to DEM construction
	Chen, Chuanfa 1; Li, Yanyan 2
刊名	COMPUTERS & GEOSCIENCES
	2012-11-01
卷号	48 页码:9-16
关键词	Thin plate spline DEM Interpolation Kriging Orthogonal least squares
英文摘要	In order to avoid the ill-conditioning problem of thin plate spline (TPS), the orthogonal least squares (OLS) method was introduced, and a modified OLS (MOLS) was developed. The MOLS of TPS (TPS-M) can not only select significant points, termed knots, from large and dense sampling data sets, but also easily compute the weights of the knots in terms of back-substitution. For interpolating large sampling points, we developed a local TPS-M, where some neighbor sampling points around the point being estimated are selected for computation. Numerical tests indicate that irrespective of sampling noise level, the average performance of TPS-M can advantage with smoothing TPS. Under the same simulation accuracy, the computational time of TPS-M decreases with the increase of the number of sampling points. The smooth fitting results on lidar-derived noise data indicate that TPS-M has an obvious smoothing effect, which is on par with smoothing TPS. The example of constructing a series of large scale DEMs, located in Shandong province, China, was employed to comparatively analyze the estimation accuracies of the two versions of TPS and the classical interpolation methods including inverse distance weighting (IDW), ordinary kriging (OK) and universal kriging with the second-order drift function (UK). Results show that regardless of sampling interval and spatial resolution, TPS-M is more accurate than the classical interpolation methods, except for the smoothing TPS at the finest sampling interval of 20 m, and the two versions of kriging at the spatial resolution of 15 m. In conclusion, TPS-M, which avoids the ill-conditioning problem, is considered as a robust method for DEM construction. (C) 2012 Elsevier Ltd. All rights reserved.
WOS标题词	Science & Technology ; Technology ; Physical Sciences
类目[WOS]	Computer Science, Interdisciplinary Applications ; Geosciences, Multidisciplinary
研究领域[WOS]	Computer Science ; Geology
关键词[WOS]	DIGITAL ELEVATION MODELS ; INTERPOLATION ; ACCURACY ; SYSTEMS ; GIS ; ESTIMATOR ; ERRORS
收录类别	SCI
语种	英语
WOS记录号	WOS:000309785200002
内容类型	期刊论文
源URL	[http://119.78.226.72/handle/331011/18085]
专题	上海天文台_天文地球动力学研究中心
作者单位	1.Shandong Univ Sci & Technol, Geomat Coll, Qingdao 266590, Peoples R China 2.Shanghai Astron Observ, Shanghai 200030, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chuanfa,Li, Yanyan. A robust method of thin plate spline and its application to DEM construction[J]. COMPUTERS & GEOSCIENCES,2012,48:9-16.
APA	Chen, Chuanfa,&Li, Yanyan.(2012).A robust method of thin plate spline and its application to DEM construction.COMPUTERS & GEOSCIENCES,48,9-16.
MLA	Chen, Chuanfa,et al."A robust method of thin plate spline and its application to DEM construction".COMPUTERS & GEOSCIENCES 48(2012):9-16.