Optimization of Texture Measurements—Part I: Method: Optimal GridParameter

Abstract

In texture experiments one always measures a sample with some constrained number of grains N (see the discussion in Bunge (1996). Proc. of Workshop “Math. Methods of Texture Analysis”, Textures and Microstructures 25, 71–108). It is clear that the orientation distribution function (ODF) and pole figures (PFs) measured for this limited N may differ from actual ones. How well do texture measurements reproduce the actual distribution densities? The statistical relevance of such measurements is the main area of interest in the present paper.