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为了克服GPS坐标转换为地区坐标传统方法的两个缺陷(坐标数据有粗差,极易出现病态矩阵),致使随机模型中采用了一个不合理的权阵,导致所建数学模型和客观实际存在较大偏差,从而影响最终的转换精度,采用将三维坐标分开转换的策略,在分开转换的过程中应用了抗差估计理论。三维分离回归抗差估计法的实际应用显示该方法能够克服转换中的粗差、病态矩阵的问题。计算数据表明该方法比常规方法在精度上有所提高。
Abstract:In order to overcome the two primary shortcomings of traditional methods(coordinates data has gross error, anotheris extremely easy toappear ill-conditioned matrix) for transforming the GPS coordinates intothe area sits coordinates, in the cause the weight matrix of the stochastic model are not rational, causes to construct the mathematical model and the objective reality existence big deviation, thus affected the final transformation precision, this article uses the strategy that transform the three dimensional coordinates separately, inthetrans for mationprocess the robust biased estimators has being applied.The practical application demonstrated this method can overcome gross error、 the ill-conditioned matrix question in transformation.The estimated data indicated that this method has the enhancement in the precision than the conventional method.
[1]杨元喜.抗差估计理论及其应用[M].北京:八一出版社,1993
[2]朱华统,杨元喜,吕志平.GPS坐标系统的变换[M].北京:测绘出版社,1994
[3]李庆扬,王能超,易大义.数值分析[M].武汉:华中科技大学出版社,1986
[4]周江文,黄幼才,杨元喜,等.抗差最小二乘法[M].武汉:华中理工大学出版社,1997
基本信息:
中图分类号:P228.42
引用信息:
[1]张玉堂.GPS坐标转换的三维分离回归模型参数的稳健估计[J].地理空间信息,2009,7(03):39-42.