What question did this study set out to answer?

The aim is to establish a method for determining the optimal rotation to relate two sets of vectors through deviation minimization.

September 1, 1976

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

Puntos clave

The aim is to establish a method for determining the optimal rotation to relate two sets of vectors through deviation minimization.
Developed a procedure to calculate the best rotation between two vector sets.
Minimized the weighted sum of squared deviations during transformation.
Generalized the method for various metric constraints.
Successfully minimized the deviations between the two vector sets through the proposed rotation.
Provided a flexible approach applicable to different metric constraints.

Resumen

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.

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Cite This Study

Wolfgang Kabsch (Wed,) studied this question.

synapsesocial.com/papers/69d8b4048cb8f39931ae39ea https://doi.org/https://doi.org/10.1107/s0567739476001873

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