Table of Contents
Textures and Microstructures
Volume 13 (1991), Issue 4, Pages 199-212

A Method for the Generation of Various Ghost Correction Algorithms—the Example of the Positivity Method and the Exponential Method

Department of Metallurgy and Materials Engineering, Katholieke Universiteit, Leuven, Belgium

Received 14 July 1990

Copyright © 1991 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A theoretical strategy is presented that can derive the algorithms of several existing ghost correction methods. The examples of the positivity method and the “GHOST” method are elaborated. A new method is derived as well: the “exponential” method. It can successfully replace the quadratic method as a method that yields an exactly non-negative complete C.O.D.F. from pole figure data. The theoretical scheme that can generate all these algorithms makes use of the fact, that several parameter sets can be defined in order to describe a C.O.D.F. The parameters of one set are then functions of those of the other. The algorithms are derived from Taylor series expansions of these functions.