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以全球定位系统(GPS-GlobalPositioningSystem)的三维定位原理为基础,用Lagrange多项式插值和三次Spline曲线拟合求定GPS点正常高的两种方法,对最佳拟合路径及起始数据的正确性检验均作了较深入的探讨,给出用于不同测站数下拟合精度的估算公式。经实例验证:拟合出的正常高高程,不仅可满足公路带状地形大比例尺测图精度的要求,而且在GPS测线较短的地势平坦地区,其精度也基本上满足了公路基平测量的要求。
Based on the three-dimensional positioning principle of GPS-Global Positioning System (GPS), two methods of determining the normal GPS point using Lagrange polynomial interpolation and cubic Spline curve fitting are introduced. The correctness of the best fit path and initial data Test are made more in-depth discussion, given for different stations under the fitting accuracy of the estimated formula. The example verified that the fit of the normal elevation can not only meet the requirement of the large-scale survey accuracy of the strip-shaped terrain, but also have the accuracy of the base level measurement in the flat terrain with short GPS survey line Request.