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

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.