SARC model for three-dimensional coordinate transformation

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.