An optimal control method for high accuracy surface modeling and its application to DTM construction

An optimal control method for high accuracy surface modeling and its application to DTM construction
Tian-Xiang Yue1, Dun-Jiang Song2 and Zheng-Ping Du1

1.State Key Laboratory of Resources and Environment Information System, Institute of Geographical Sciences and Natural Resources Research, 11A, Datun Road, Anwai, 100101 Beijing, China (Yue@lreis.ac.cn)
2.Institute of Policy and Management, No.15 Zhongguancun Bei Yi Tiao, 100190 Beijing, China (songdj@casipm.ac.cn)

Abstract: An optimal control method of high accuracy surface modelling (HASM-OC) is developed to improve DTM as accurate as possible in this paper. One numerical test is conducted to validate HASM-OC by comparing with Thin Plate Spline (TPS). Datasets with various contour intervals are selected to simulate DTMs in different spatial resolutions. Then, retrieved contour lines, respectively by HASM-OC and TPS, are compared with the original ones. The results indicate that the contour lines retrieved by HASM-OC almost coincide with the original contour lines in appropriate spatial resolutions while the ones done by TPS have a considerable difference from the original ones. The difference between the retrieved contour lines by HASM-OC and the original ones is less than 6.5% of grid size. Errors of contour lines retrieved by HASM-OC monotonically decease with spatial resolution becoming finer but TPS presents oscillating errors. HASM-OC has much higher accuracy and performs much more stable. 

Keywords: HASM, TPS, optimal control, DTM, accuracy, error

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