Research data supporting "Roughness spectroscopy of particle monolayer: Implications for spectral analysis of the monolayer image". B-spline representation of static structure factor.

Finally, we fit a B-spline representation to the discrete function S(q). For that, we used the B-spline fitting procedure splrep of the package SciPy.interpolate included in the Python-based open-source library SciPy. We used a forth order (cubic) B-spline with the default knot vector generated by the procedure splrep, i.e., with the knot separation distance equal about 1E-3.

To calculate the structure factor with the B-spline you can use the procedures splev or BSpline of the module SciPy.interpolate of SciPy library v. 1.7.1. The knot vector in the attached files begins and ends with three improper knots, in accordance with the requirements of the procedures. For details, see the paper: P. Weroński & K. Pałka, "Roughness spectroscopy of particle monolayer: Implications for spectral analysis of the monolayer image", Measurement 196 (2022) 111263.