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A solution for the best rotation to relate two sets of vectors

A solution for the best rotation to relate two sets of vectors A simple procedure is derived which determines a best rotation of a given vector set into a second vector set by minimizing the weighted sum of squared deviations. The method is generalized for any given metric constraint on the transformation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography International Union of Crystallography

A solution for the best rotation to relate two sets of vectors

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Publisher
International Union of Crystallography
Copyright
Copyright (c) 1976 International Union of Crystallography
ISSN
0567-7394
DOI
10.1107/S0567739476001873
Publisher site
See Article on Publisher Site

Abstract

A simple procedure is derived which determines a best rotation of a given vector set into a second vector set by minimizing the weighted sum of squared deviations. The method is generalized for any given metric constraint on the transformation.

Journal

Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography – International Union of Crystallography

Published: Sep 1, 1976

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