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AN ALGORITHM OF MOTION ESTIMATION BASED ON UNIT QUATERNION DECOMPOSITION OF THE ROTATION MATRIX
一种基于旋转矩阵单位四元数分解的运动估计算法

Keywords: Unit quaternion decomposition,Space position vectors,Estimation of motion parameters,Singular points
单位四元数分解
,空间位置,运动参数估计,奇异点

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Abstract:

Based on the unit quaternion decomposition of rotation matrix, this paper puts forward an algorithm to estimate motion parameters from the space position vectors of 3D feature points. Rotation matrix's representation with the unit quaternion has no singular points, so the unit quaternion-based estimation method is of more practical importance, and the algorithm in this paper does not need iteration computation compared to those unit quaternion-based method proposed by Horn(1987) and Su, et al.(1989). Solution's uniqueness analysis of the algorithm and simulation experiment results are also presented, it can be seen that performance of the proposed method is satisfactory.

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