@article{34439,
  abstract     = {{A method for the reconstruction of turned shaft surfaces with a (fractal) Weierstrass–Mandelbrot-function (WMF) is presented. The WMF is modified to allow to freely choose a phase-shift for every frequency. The reconstruction is based on distinct profiles in axial and tangential direction and the statistical distribution of low-wavelength portions of the surface is taken into account by adding t-distributed random deviations to the surface. The work is validated by reconstructing measured shaft surfaces with different manufacturing parameters, which shows good accuracy for periodic surfaces. This method allows for a characterization of surfaces with a limited number of parameters and can be used to store the characteristics of measured surfaces with a reduced amount of data compared to a point-cloud surface.}},
  author       = {{Thielen, Stefan and Magyar, Balázs and Piros, Attila}},
  issn         = {{0301-679X}},
  journal      = {{Tribology International}},
  keywords     = {{Roughness, Structure, Fractal, Machining}},
  pages        = {{349--357}},
  title        = {{{Reconstruction of three-dimensional turned shaft surfaces with fractal functions}}},
  doi          = {{https://doi.org/10.1016/j.triboint.2015.11.028}},
  volume       = {{95}},
  year         = {{2016}},
}