【摘要】 阐述了GPS高程异常拟会系统（GANHIS）的总体结构设计和数学模型，论述了实现GPS高程异常拟会的关键技术，得出了一些有益的结论。更多还原

【Abstract】 As we know,glbal positioning system (GPS) can be used to get precise reIative position in a three-dimensional system. The results f many field-tests and applied proects have already shoWn that, GPS survey methed can take the place of classical horizontl terrain survey method. But how to interpolate the abnormal height of GPS leveling, so as to take the place of classical leveling survey methed, has attracted many gedesists in the past ten years. Up to now, a lot of metheds have been discussed and applied.According to the development of GPS height abnormal height interpolatin system (GANHIS),this paper discusses some mathematical models and the key techniques of GPS leveling.Firstly, the general design of GANHIS is illustrated with DFD (data flow diagram). Secondly, the mathematical models of GANHIS, including the polynomial curve inteoplation methed, the threespline curve interpolation methed, the curve inteoplation of Akima methed, the polynomial curved surface interpolation methed, the multidimensinal function curved suffoce intermlation methed,the motion curved surface interpolation methed, etc. are presented in brief. The characteristics of each methed are offered as the mathematical expressin.In successin, the key techniques of implemention GANHlS are stated briefly:1) To adopt the rotatin of coordinates to ensure the precision of curve inteedation methods;2) To adopt the correction of terrain to ensure the precision of curved surface interpolation methods in mountainous areas, and its calculation, methed is provided;3) To adopt the reliability testing of GPS bench marks to exclude blunders;4) The methed of assessing precision is provided;5) The methed of protracting the isoline of GPS normal height is introduced.GANHIS has come int use since 1998. In this paper, an application example is given, and it is proved that the result is good: both the internal precision and the outside precision are superior to the limit error of IV-order leveling. Finally, some significant conclusions are drawn: ①For localGPS net, if the design of GPS net is reasonable, we can achieve IV-order leveling precision with GPS leveling methed. ②GANHIS provides lots of interpoation medels, so we can verify the interplation result with different metheds. The example in the paper proves that the precision of the Plynomial curved surface interpolation method is approximate to that of the moion curved surface intemplatin methed. ③GANHIS has not only prominent economic benefit, but also important application and popularization value.更多还原