ABSTRACT
In this chapter, the authors examines in detail each type of data representation and display, and also how departures from random distributions are recognised and quantified. The representation of a population of grain boundary (GB) parameters is the re-expression of misorientation matrix (M) and a vector which describes the direction of the GB plane normal (N) in a manner which is appropriate for classification and thus interpretation of the data. Data display of any of these three-dimensional spaces is by one of the following. A series of sections parallel to one of the axes; Projection of all the data points onto one plane; A perspective drawing of the three-dimensional space; Stereo pairs; Video display; Holographic displays. The most common plot of stereogram-based space and ‘special’ grain boundary probabilities is the ‘misorientation axis distribution,’ or ‘grain misorientation texture’. An alternative form of stereogram-based space is a unit reference sphere.
