**3.2 Experimental data**

The experimental data used in this work is of a 400 *μ*m diameter stainless steel wire characterized in 3D by DCT (King et al., 2008a). The data has been kindly provided by the University of Manchester, Materials Performance Centre, School of Materials and comprises of 362 grains and some 1600 grain boundaries. The data provides information on the crystallographic orientation in points of a 346 by 346 by 282 grid. The experimental data can be represented as an array of 282 slices, separated in the depth (Z) direction by 1.4 *μ*m. For each slice, crystallographic orientation has been measured on a 346 by 346 grid with 1.4 *μ*m distance between the points on a grid (in the X and Y direction). Voxels having the same crystallographic orientation constitute a grain.
