As we know the enclosing boxes method for the fractal dimension must be applied on the primary profile or surface. This means that the surface must be prepared for the analysis: the microroughness λs must be removed and the form or slope λc too, using a leveling operation. After the leveling, the angle should not have any impact anymore. This is also true for all fractal analysis methods, not only the enclosing boxes.
We also have to be aware that not all surfaces are suitable for this type of analysis. It requires the resolution to be enough (enough points on the surface or profile) and that there is enough roughness. It is not relevant to apply a fractal analysis on a smooth surface or one without any motifs.
What is your experience with surface leveling prior to fractal dimension analysis?
I work with fractal dimension estimation, but not with the enclosing boxes method. The method I use is called Fractal Regression Method, that reconstructs data by obtaining a fractal function. The fractal function that fits the data has separately the fractal coefficients that serve for estimating the Hausdorff dimension and the directional coefficients that indicates the slope of the shape where the fractal structure is based on. The fractal coefficients and the directional coefficients are obtained simultaneously when applying my method. This means that the slope is not calculated previously from fractal dimension analysis.
Please find the paper about the impact of surface slope on the fractal dimension results on the fatigue fracture surfaces of steel specimens after combined bending-torsion fatigue:
Article The impact of surface slope and calculation resolution on th...
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