Pang Zhengya, Zhou Zhifeng, Wang Liduan, Ye Juelei. Motion Compensation Method Based on Lidar[J]. Laser & Optoelectronics Progress, 2020, 57(2): 21106
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Only three differential equations(three independent parameters) are required;it is directly initialized by pitch, yaw, and roll angle
Nonlinear differential equation;there is no singular value at ±90°;the order of rotation is important
Direction cosinemethod
Linear equation;no singular value;the direction of thetransformation matrix is solved
Six independent differential equations;complex computation;Euler angles can not be obtained directly
The quaternionmethod
There are only four differential equations;no singular values and easy solutions;the way only need three differentialequations (three independent parameters);it is directly initialized by pitch,yaw and roll angle
Euler angle and transformationmatrix can not be obtained directly;the initial conditions forEuler angles must be used
Table 1. Comparison of advantages and disadvantages of transformation matrix parameterization methods