https://www.tandfonline.com/doi/full/10.1080/02670836.2016.1231746

This is a good paper in this regard.

Pole figures and ODFs are important tools in the study of crystallography, materials science, and geology. They are used to determine the preferred orientation of crystals in a material.

Pole figures are graphical representations of the distribution of crystallographic orientations in a material. They show the density of crystallographic planes perpendicular to a specific direction in space. They are typically represented as a polar plot, where the density of crystallographic planes is plotted as a function of the angle between the crystallographic plane and the direction in question.

ODFs, or orientation distribution functions, are mathematical representations of the preferred orientation of crystals in a material. They are used to describe the probability of finding a crystal in a particular orientation within a given volume of material. ODFs are typically represented as a function of the Euler angles, which describe the orientation of a crystal with respect to a reference frame.

To interpret and analyze pole figures and ODFs, you can follow these steps: