Discretization Techniques for Orientation Distribution Functions

Abstract

Two methods for the discrete orientation representation of continuous orentation distribution functions (ODFs) are presented. The first one is based on the cumulative ODF, while the second one uses a minimum orientation distance criterion. The properties of these new techniques are discussed and contrasted with each other as well as with an earlier method which is based on cutting below certain limiting intensity. Four kinds of tests have been carried out on these techniques: i. their performance in reproducing the ODF, ii. prediction of physical parameters, as R and M values, iii. deformation texture predictions, iv. rediscretizations during deformation texture modelling. The results of these tests show the good applicability of the proposed two new discretization techniques for approximating the ODF, to calculate physical parameters and for deformation texture modelling, even at relatively low number of orientations. The cutting technique, however, found to be unprecise, even at large number of orientations. On the basis of the results obtained during the rediscretization tests, a new technique for modelling twinning in deformation texture codes has been proposed.