On graphically representing the confidence region for an unknown rotation in three dimensions

Computers & Geosciences
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Abstract

In assessing the errors involved in reconstructing tectonic plate rotations, it is desirable to have confidence regions for the unknown rotation. This paper presents a method for graphing such confidence regions, which exhibits the dependence of the range of possible angles of rotation on the axis considered. Namely, the minimum and maximum angles of rotation are graphed as functions of axis longitude and latitude. A FORTRAN 77 program SPHEREREGRESS is given which, under a variety of probabilistic models for the data, generates grid matrices which are used to draw contour maps of the minimum and maximum angles of rotation. ?? 1990.
Publication type Article
Publication Subtype Journal Article
Title On graphically representing the confidence region for an unknown rotation in three dimensions
Series title Computers & Geosciences
DOI 10.1016/0098-3004(90)90127-F
Volume 16
Issue 2
Year Published 1990
Language English
Publisher Elsevier
Publisher location Amsterdam, Netherlands
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Computers and Geosciences
First page 163
Last page 194
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