两种空间直角坐标系转换参数初值快速计算的方法

在已知不共线3点在两坐标系下坐标的条件下,提出了两种快速计算两坐标系间转换参数概略值的方法。其中一种是先通过三点构造在两坐标系下的一个新点,将两个坐标系平移到该新点,从而消除平移参数。利用此时的三点坐标可以方便地求得两坐标系间的旋转矩阵,由旋转矩阵可进一步求得旋转角和平移参数;另一种方法是先通过已知的三点构造出一个新的坐标系,通过该坐标系可计算出待求的两坐标系及其旋转参数,从而求得待求两坐标系间的旋转参数。最后,通过旋转参数可计算出平移参数的概略值,并试验验证了两种方法的正确性。

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.