SARC model for three-dimensional coordinate transformation |
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Authors: | Yao Jili Wang Shuguang Sun Yating |
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Affiliation: | School of Architecture Engineering , Shandong University of Technology , Zibo , China |
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Abstract: | 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; {ie84-1} to demonstrate validity of SARC, an example is given. |
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Keywords: | SARC 3D coordinate transformation transformation parameters transformation equation |
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