A general solution for the optimal superimposition of protein structures

Authors:
Qishen Li;Jian Shu;Zhaojun Shi;Dandan Zhang
Affiliations:
Faculty of Computing, Nanchang Institute of Aeronautical Technology, Nanchang, Jiangxi, P.R. China;Faculty of Computing, Nanchang Institute of Aeronautical Technology, Nanchang, Jiangxi, P.R. China;Faculty of Computing, Nanchang Institute of Aeronautical Technology, Nanchang, Jiangxi, P.R. China;Faculty of Computing, Nanchang Institute of Aeronautical Technology, Nanchang, Jiangxi, P.R. China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Computational Intelligence and Bioinformatics - Volume Part III
Year:
2006

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Least-Squares Estimation of Transformation Parameters Between Two Point Patterns

IEEE Transactions on Pattern Analysis and Machine Intelligence

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Abstract

The theorem presented in this paper is a general solution for the optimal superimposition between two protein structures, which is actually the problem of the weighted optimal rigid superimposition between two vector sets with the same size. The theorem gives not only the rotational and translational parameters, but also the minimal value of the mean squared deviation of the optimal superimposition.