期刊文献+

基于拟合推估两步极小解法的地图坐标变换 被引量:1

COORDINATE TRANSFORMATION OF DIGITAL MAP BASED ON COLLOCATION BY TWO MINIMIZATION STEPS
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摘要 根据拟合推估两步极小解法的基本原理,将随机场分为趋势性和随机性两部分,对趋势性部分采用函数模型拟合后,用剩余残差拟合随机性信号协方差函数,再求解趋势性模型参数和随机信号。探讨了该方法在地图坐标变换中的应用,结果表明,基于两步极小的拟合推估新解法的结果明显优于最小二乘的结果。 After having reviewed the basic collocation theory, the principle of the collocation by two minimization steps is introduced. Considering that the stochastic signal contains not only the stochastic information but also some systematic trend, after the systematic trend parameter having been calculated and then the residual was used to compute the covariance function of the stochastic information. With the refitted covariance function, the stochastic signal was evaluated and the systematic trend parameters were estimated again. An actual digital map case shows that the solution accuracy with this method for collocation is better than that with the affine transformation by least squares.
出处 《大地测量与地球动力学》 CSCD 北大核心 2008年第1期81-84,共4页 Journal of Geodesy and Geodynamics
基金 国家自然科学基金(40774001和40474001) 地球空间与大地测量教育部重点实验室开放基金(1469990324233-04-11)
关键词 拟合推估 协方差函数 两步极小 数字化地图 坐标变换 collocation covariance function two minimization steps digital maps coordinate transformation
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参考文献10

  • 1Kaula W M. Determination of the earth' s gravitational field [J]. Reviews of Geophysics, 1963, 1 (4) :507 - 551.
  • 2Krarup T. A contribution to the mathematical foundation of physical geodesy[R]. Copenhagen: Danish Geodetic Institute, 1969.
  • 3Moritz H. Least squares collocation [J]. Reviews of Geophysics and Space Physics, 1978,16:421 - 430.
  • 4周江文.拟合推估两种方法.测绘学报,1981,10(1):9-12.
  • 5周江文.拟合推估[A].周江文.误差理论[C].北京:测绘出版社,1979.
  • 6周江文.再论拟合推估[J].测绘学报,2001,30(4):283-285. 被引量:10
  • 7Yang Yuanxi. Robustfying collocation[J]. Manuscript Geodaetica, 1992, 17(1): 21 -28.
  • 8周江文.拟合推估新解之一——两步解法[J].测绘学报,2002,31(3):189-191. 被引量:11
  • 9杨元喜,刘念.拟合推估两步极小解法[J].测绘学报,2002,31(3):192-195. 被引量:28
  • 10Koch K R. Least squares adjustment and collocation [J]. Bulletin Geodesy, 1977,51 : 127 - 135.

二级参考文献4

共引文献38

同被引文献10

  • 1李德仁,袁修孝.误差处理和可靠性理论[M].武汉:武汉大学出版社,2002.
  • 2杨元喜.最小二乘滤波配置在测量平差中的应用.军事测绘,1982,9:23-27.
  • 3Moritz H. Advanced physical geodesy[ M]. Karlsruhe: Herbert Wichmann Verlag, 1980.
  • 4Koch K R. Least squares adjustment and collocation [ J ]. Bulletin Geodesique, 1977,51 : 127-135.
  • 5Tscherning C C. Collocation and least squares methods as a tool for handling gravity field dependent data obtained through space research techniques [ A ]. Hieber S and T D Guyenne ( Eds. ). European workshop [ C ]. European Space Agency, Paris, 1978.
  • 6Yang Y and Liu C. On the collocation iterative solution model and algorithm for gravity anomaly [ J ]. Acta Seismologica Sinica,1996, 9(4) :611 -616.
  • 7王新洲.广义平差的概括模型[J].武汉测绘科技大学学报,2000,25(3):257-260. 被引量:12
  • 8刘念,胡荣明.拟合推估在GPS高程解算中的应用[J].测绘通报,2001(7):29-31. 被引量:41
  • 9杨元喜,刘念.重力异常的一种逼近方法[J].测绘学报,2001,30(3):192-196. 被引量:33
  • 10周江文.拟合推估新用——新逼近模式[J].测绘学报,2001,30(4):286-287. 被引量:4

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