You are here

Using Quadratic Forms to Correct Orientation Errors in Tracking

by Jack Goldfeather (Carleton College)

This article originally appeared in:
Mathematics Magazine
April, 1996

Subject classification(s): Analysis | Signal Analysis | Noise
Applicable Course(s): 3.8 Linear/Matrix Algebra | 4.17 Numerical Analysis

If noise in data transmission produces a not quite orthogonal matrix that is known to be orthogonal, how does one find the "nearest" orthogonal matrix?  This capsule recasts the problem as one of maximizing a quadratic form on the four-dimensional unit sphere, and sketches a solution.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
Linear Algebra | Application: Signal & Image Processing
Linear Algebra | Eigenvalues and Eigenvectors
Linear Algebra | Matrix Factorizations
Linear Algebra | Quadratic Forms
Average: 2.5 (14 votes)

Dummy View - NOT TO BE DELETED