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Principal Axes and Best-Fit Planes, with Applications

URL to cite or link to: http://hdl.handle.net/1802/13747

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The principal moments of inertia measure the dispersion of continuous or discrete mass distributions about a distinguished set of orthogonal lines; the principal axes of inertia. The principal axis with smallest moment represents the best-fit line to the distribution in a least-squared error sense. The corresponding notion of a best-fit plane has no easy physical interpretation, but is of interest for a number of reasons. A result of Karl Pearson is invoked to relate the two notions, and some applications of the principal-axis/best-fit plane methods are given.
Contributor(s):
Christopher M. Brown (1945 - ) - Author
Primary Item Type:
Technical Report
Series/Report Number:
UR CSD / TR7
Language:
English
Subject Keywords:
hyperplane; surfaces; inertia; best-fit; dendritic fields
Sponsor - Description:
Alfred P. Sloan Foundation - 74-12-5
National Science Foundation (NSF) - GI 34274X
First presented to the public:
4/1976
Originally created:
4/1976
Date will be made available to public:
2011-01-06   
Original Publication Date:
4/1976
Previously Published By:
University of Rochester. Computer Science Department.
Citation:
License Grantor / Date Granted:
Sarada George / 2011-01-06 13:55:26.709 ( View License )
Date Deposited
2011-01-06 13:55:26.709
Date Last Updated
2012-09-26 16:35:14.586719
Submitter:
Sarada George

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