Surface characterization is important for the functionality of many applications. For process control applications it is important to measure surface characteristics in-line. Scattering light sensor technique is well suited for in-line measurement due to its robustness against vibrations and the fast measurement speed. But the non-trivial connection between the surface-angle resolved data from the scattering light data and the 3D surface data from other surface measurement system hampers the use of scattering light sensor technique for structured surfaces. To overcome these hindrances we present a method to reconstruct surface profiles from scattering light measurements based on an accurate simulation of the measurement process and a sparse representation of the surface profile incorporating a priori knowledge like the feed rate of a turning process.
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