Estimation of rigid motion parameters using moment covariance matrix

Chi Zhang; Jason You; Ming Zhang; Patrick S. P. Wang

doi:10.1117/12.441565

25 September 2001 Estimation of rigid motion parameters using moment covariance matrix

Chi Zhang, Jason You, Ming Zhang, Patrick S. P. Wang

Proceedings Volume 4553, Visualization and Optimization Techniques; (2001) https://doi.org/10.1117/12.441565
Event: Multispectral Image Processing and Pattern Recognition, 2001, Wuhan, China

Abstract

The estimation of rigid motion parameters has been investigated using Fourier transform and iterative techniques for over two decades. But the numerical efficiency remains a challenge. Especially for 3D case, there is no analytical algorithm. In this work, we propose to use the moment covariance matrix to estimate the orthogonal transform (i.e. rigid motion in real world). This algorithm does not depend on the dimension of the problem and is an analytical method. The numerical implementation is easy and efficient. The test results show that the proposed algorithm is accurate and well tolerent to noise variation.

Citation Download Citation

Chi Zhang, Jason You, Ming Zhang, and Patrick S. P. Wang "Estimation of rigid motion parameters using moment covariance matrix", Proc. SPIE 4553, Visualization and Optimization Techniques, (25 September 2001); https://doi.org/10.1117/12.441565

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