Quick Arithmetics for the Transformation Approximation of Two Space Rectangular Coordinate Systems

Two methods are proposed to calculate transformation parameter's approximation of two coordinate systems under the condition of that three points were offered.The one is translating the two coordinate systems to the new point constructed by the three points,and then calculating the rotation matrix,by which gaining rotation angles and translation parameters;the another is constructing one new coordinate system with the three points,by which calculating the rotation parameters of the new and the two known coordinate systems respectively,and then gaining the approximation of rotation parameters and translation parameters.We make a experiment to testify the veracity of the method.