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The squared power method to fit a plane to a set of points

The squared power method to fit a plane to a set of points The 'power method' provides a computationally easy method for the determination of the best plane through a set of points. By repeatedly taking squares, one rapidly obtains the maximum eigenvalue and corresponding eigenvector of the inertia tensor. The result is the least-squares result when the points have independent, isotropic weights. 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

The squared power method to fit a plane to a set of points

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The squared power method to fit a plane to a set of points

Andrews, L.C; Bernstein, H.J
Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography , Volume 32 (3): 504 – May 1, 1976

Abstract

The 'power method' provides a computationally easy method for the determination of the best plane through a set of points. By repeatedly taking squares, one rapidly obtains the maximum eigenvalue and corresponding eigenvector of the inertia tensor. The result is the least-squares result when the points have independent, isotropic weights.

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References (2)

Publisher
International Union of Crystallography
Copyright
Copyright (c) 1976 International Union of Crystallography
ISSN
0567-7394
DOI
10.1107/S0567739476001095
Publisher site
See Article on Publisher Site

Abstract

The 'power method' provides a computationally easy method for the determination of the best plane through a set of points. By repeatedly taking squares, one rapidly obtains the maximum eigenvalue and corresponding eigenvector of the inertia tensor. The result is the least-squares result when the points have independent, isotropic weights.

Journal

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

Published: May 1, 1976

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