Continuous and Discrete Representations of an Iterative Reproduction Method

Abstract

General formulae are obtained for iterative reproduction of the distribution of orientations from both unreduced and reduced pole-figures. The most correct representation of them is the continuous one realized by the Bunge–Roe formalism. The discrete representations are always connected with the additional assumption that the texture function is considered to be constant inside the subsets of orientation space. One of the discrete representations contains the elements of the elementary pole-figures of the vector method.