Three-dimensional coordinate transmission method for four-degrees-of-freedom space to six-degrees-of-freedom space
A three-dimensional coordinate and space coordinate system technology, applied in the field of space measurement, can solve the problems of technical complexity, technical difficulty, construction cost increase, engineering application difficulty, weak economic strength, etc., and achieve considerable economic and social benefits.
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Embodiment 1
[0028] Such as figure 1 As shown, a three-dimensional coordinate transfer method from a four-degree-of-freedom space to a six-degree-of-freedom space according to the present invention includes the following steps:
[0029] (1) The three-dimensional coordinates (x p ,y p ,z p ), the rotation angle θ of the vertical axis of the four-degree-of-freedom space coordinate system h , reference motion coordinate system o k x k the y k z k origin o k The length d of the line connected to the origin o of the four-degree-of-freedom space coordinates and the angle θ between it and the vertical axis z ,Such as figure 2 shown;
[0030] (2) Through the coordinate transfer matrix A(θ h ,θ z ,d), the coordinates of the field point P (x p ,y p ,z p) from the four-degree-of-freedom space to the reference motion coordinate system o k x k the y k z k , to obtain the field point P in the reference motion coordinate system o k x k the y k z k The three-dimensional coordinates...
Embodiment 2
[0042] The technical scheme adopted in the present invention is: a three-dimensional coordinate transfer method from a four-degree-of-freedom space to a six-degree-of-freedom space, comprising the following steps:
[0043] (1) The three-dimensional coordinates (x p ,y p ,z p ), the rotation angle θ of the vertical axis of the four-degree-of-freedom space coordinate system h , The length d of the line connecting the origin of the reference motion coordinate system to the origin of the four-degree-of-freedom space coordinates and its angle θ with the vertical axis z ;
[0044] (2) Through the coordinate transfer matrix A(θ h ,θ z ,d), the field point coordinates (x p ,y p ,z p ) from the four-degree-of-freedom space to the reference motion coordinate system to obtain the three-dimensional coordinates of the field point in the reference motion coordinate system (x p_k ,y p_k ,z p_k );
[0045] (3) According to the angle of rotation around the vertical axis of the refe...
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