Estimation of rigid motion parameters using moment covariance matrix | Zendy

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

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Estimation of rigid motion parameters using moment covariance matrix

Author(s) -

Chi Zhang,

Jason You,

Ming Zhang,

Patrick S. P. Wang

Publication year - 2001

Publication title -

proceedings of spie, the international society for optical engineering/proceedings of spie

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.192

H-Index - 176

eISSN - 1996-756X

pISSN - 0277-786X

DOI - 10.1117/12.441565

Subject(s) - covariance matrix , moment (physics) , computer science , algorithm , covariance , matrix (chemical analysis) , motion estimation , dimension (graph theory) , fourier transform , estimation of covariance matrices , noise (video) , mathematical optimization , mathematics , artificial intelligence , mathematical analysis , physics , statistics , materials science , image (mathematics) , classical mechanics , pure mathematics , composite material

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 any 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 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 tolerant to noise variation.

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