[{"abstract":[{"lang":"eng","text":"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."}],"extern":"1","publication":"Tribology International","department":[{"_id":"146"}],"type":"journal_article","keyword":["Roughness","Structure","Fractal","Machining"],"date_created":"2022-12-15T09:56:44Z","intvolume":"        95","date_updated":"2026-07-18T13:18:59Z","author":[{"full_name":"Thielen, Stefan","first_name":"Stefan","last_name":"Thielen"},{"id":"97759","last_name":"Magyar","first_name":"Balázs","full_name":"Magyar, Balázs"},{"first_name":"Attila","last_name":"Piros","full_name":"Piros, Attila"}],"publication_identifier":{"issn":["0301-679X"]},"year":"2016","title":"Reconstruction of three-dimensional turned shaft surfaces with fractal functions","doi":"https://doi.org/10.1016/j.triboint.2015.11.028","language":[{"iso":"eng"}],"quality_controlled":"1","citation":{"apa":"Thielen, S., Magyar, B., &#38; Piros, A. (2016). Reconstruction of three-dimensional turned shaft surfaces with fractal functions. <i>Tribology International</i>, <i>95</i>, 349–357. <a href=\"https://doi.org/10.1016/j.triboint.2015.11.028\">https://doi.org/10.1016/j.triboint.2015.11.028</a>","ieee":"S. Thielen, B. Magyar, and A. Piros, “Reconstruction of three-dimensional turned shaft surfaces with fractal functions,” <i>Tribology International</i>, vol. 95, pp. 349–357, 2016, doi: <a href=\"https://doi.org/10.1016/j.triboint.2015.11.028\">https://doi.org/10.1016/j.triboint.2015.11.028</a>.","short":"S. Thielen, B. Magyar, A. Piros, Tribology International 95 (2016) 349–357.","chicago":"Thielen, Stefan, Balázs Magyar, and Attila Piros. “Reconstruction of Three-Dimensional Turned Shaft Surfaces with Fractal Functions.” <i>Tribology International</i> 95 (2016): 349–57. <a href=\"https://doi.org/10.1016/j.triboint.2015.11.028\">https://doi.org/10.1016/j.triboint.2015.11.028</a>.","mla":"Thielen, Stefan, et al. “Reconstruction of Three-Dimensional Turned Shaft Surfaces with Fractal Functions.” <i>Tribology International</i>, vol. 95, 2016, pp. 349–57, doi:<a href=\"https://doi.org/10.1016/j.triboint.2015.11.028\">https://doi.org/10.1016/j.triboint.2015.11.028</a>.","ama":"Thielen S, Magyar B, Piros A. Reconstruction of three-dimensional turned shaft surfaces with fractal functions. <i>Tribology International</i>. 2016;95:349-357. doi:<a href=\"https://doi.org/10.1016/j.triboint.2015.11.028\">https://doi.org/10.1016/j.triboint.2015.11.028</a>","bibtex":"@article{Thielen_Magyar_Piros_2016, title={Reconstruction of three-dimensional turned shaft surfaces with fractal functions}, volume={95}, DOI={<a href=\"https://doi.org/10.1016/j.triboint.2015.11.028\">https://doi.org/10.1016/j.triboint.2015.11.028</a>}, journal={Tribology International}, author={Thielen, Stefan and Magyar, Balázs and Piros, Attila}, year={2016}, pages={349–357} }"},"status":"public","volume":95,"user_id":"97759","_id":"34439","page":"349-357"}]