Acta Geodaetica et Cartographica Sinica ›› 2016, Vol. 45 ›› Issue (5): 531-537.doi: 10.11947/j.AGCS.2016.20150219

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Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation

WU Yihao1, LUO Zhicai1,2,3, ZHOU Boyang4   

  1. 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
    2. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China;
    3. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China;
    4. Department of Surveying and Mapping, Guangdong University of Technology, Guangzhou 510006, ChinaAbstract
  • Received:2015-04-27 Revised:2016-03-01 Online:2016-05-20 Published:2016-05-30
  • Supported by:
    The National Natural Science Foundation of China (Nos.41374023;41131067;41174020);The State Scholarship Fund from Chinese Scholarship Council (No.201306270014);The Fundamental Research Funds for the Central Universities (No.2042014gf041)

Abstract: We studied the so-called non-harmonic problem in residual terrain model (RTM) and compared the RTM corrections based on prisms and tesseroids. Moreover, we proposed the generalized RTM based on tesseroids, together with which the regional gravity field was modeled based on Poisson wavelets basis function by using heterogeneous gravity data sets. The results show that the RTM correction based on prism integral has a poor performance in mountainous regions, which may introduce errors with the magnitude of several mGal. Thus, we suggest using RTM based on tesseroids, which lead to a better approximation of the topography. Compared to original residual terrain model,the generalized one leads a better approximation of the regional gravity filed at the high-frequency part caused by local topographical variation.

Key words: residual terrain model, harmonic correction, Poisson wavelets radial basis function, quasi-geoid, regional gravity field modeling

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