Printed in Great Britain The Resolution of Orientation Space with Reference to Pole- Figure Resolution

The orientation distribution function depends on the measured pole-figure data structure. With reference to the divisions of the pole-figure the orientation space is divided into classes, such that contain orientations indistinguishable on the basis of pole-figure data. These classes should refer to distinguishable values of the orientation distribution function. Divisions of orientation space are considered in formulating the fundamental equation of texture analysis. Probabilistic interpretation of the fundamental equation is formulated