Practical application of entropy optimization in quantitative texture analysis

Abstract: Finite series expansion methods are applied to the texture problem of recovering an orientation density function (odf) rom its pole density functions (pdf) measured in X-ray or neutron diffraction experiments, he mathematical model of entropy maximization is applied to pole figure data and numerical results are presented aswell as an interpretation of their geological significance. The maximum entropy concept has been ex-plicitly introduced into and constructively adapted to the purposes of texture goniometry in (Schaeben 1988). Its philosophy and justi-fication has been recapitulated in (Schaeben 1990). Thus, the tomographic problem of pole-to-orientation density inversion has completely been restated to maximize subject t