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

Kabsch, Wolfgang

doi:10.1107/S0567739476001873

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

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Kabsch, Wolfgang
Emeritus Group Biophysics, Max Planck Institute for Medical Research, Max Planck Society;
Department of Biomolecular Mechanisms, Max Planck Institute for Medical Research, Max Planck Society;

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https://journals.iucr.org/a/issues/1976/05/00/a12999/a12999.pdf
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Citation

Kabsch, W. (1976). A solution for the best rotation to relate two sets of vectors. Acta Crystallographica A, 32, 922-923. doi:10.1107/S0567739476001873.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-B13B-A

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.