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SARC Model for Three-Dimensional Coordinate Transformation

SARC Model for Three-Dimensional Coordinate Transformation
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摘要 In this paper, a transformation model named SARC(static-filter adjustment with restricted condition) is presented, which is more practical and more rigorous in theory and fitting any angle of rotation parameter. The transformation procedure is divided into 4 steps: ① the original and object coordinates can be regarded as observations with errors; ② rigorous formula is firstly deduced in order to compute the first approximation of the transformation parameters by use of four common points and the transformation equation is linearized; ③ calculate the most probable values and variances of the seven transformation parameters by SARC model; ④ to demonstrate validity of SARC , an example is given. In this paper, a transformation model named SARC(static-filter adjustment with restricted condition) is presented, which is more practical and more rigorous in theory and fitting any angle of rotation parameter. The transformation procedure is divided into 4 steps: ① the original and object coordinates can be regarded as observations with errors; ② rigorous formula is firstly deduced in order to compute the first approximation of the transformation parameters by use of four common points and the transformation equation is linearized; ③ calculate the most probable values and variances of the seven transformation parameters by SARC model; ④ to demonstrate validity of SARC , an example is given.
出处 《Geo-Spatial Information Science》 2006年第2期84-88,共5页 地球空间信息科学学报(英文)
关键词 SARC 3D coordinate transformation transformation parameters transformation equation SARC模型 三维动态坐标 转换参数 转换方程
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参考文献4

  • 1[1]Liu Dajie,Shi Yimin,Guo Jingjun (1996) The principle and data processing of GPS[M].Shanghai:Publishing House of Tongji University (in Chinese)
  • 2[2]Zeng Wenxian,Tao Benzao (2003) Non-linear model of 3D coordinate transformation[J].Geomatics and Information of Wuhan University,28(5):566-568(in Chinese)
  • 3[3]Xu Tianhe,Yang Yuanxi (2001) The hypothesis testing of scale parameter in coordinate transformation model[J].Geomatics and Information of Wuhan University,26(1):70-72 (in Chinese)
  • 4[4]Staff Room of Survey Adjustment of Wuhan Technical University of Surverying and Mapping (1996) Foundation of survey adjustment[M].Beijing:Publishing House of Surveying and Mapping (in Chinese)

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