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Multi-scale curvature tensor analysis of machined surfaces


[ 1 ] Instytut Technologii Mechanicznej, Wydział Budowy Maszyn i Zarządzania, Politechnika Poznańska | [ P ] employee

Year of publication


Published in

Archives of Mechanical Technology and Materials

Journal year: 2016 | Journal volume: vol. 36

Article type

scientific article

Publication language


  • curvature tensor
  • surface metrology
  • multi-scale geometric characterization
  • machining

EN This paper demonstrates the use of multi-scale curvature analysis, an areal new surface characterization technique for better understanding topographies, for analyzing surfaces created by conventional machining and grinding. Curvature, like slope and area, changes with scale of observation, or calculation, on irregular surfaces, therefore it can be used for multi-scale geometric analysis. Curvatures on a surface should be indicative of topographically dependent behavior of a surface and curvatures are, in turn, influenced by the processing and use of the surface. Curvatures have not been well characterized previously. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. In the current work two parts were machined and then one of them was ground. The surface topographies were measured with a scanning laser confocal microscope. Plots of curvatures as a function of position and scale are presented, and the means and standard deviations of principal curvatures are plotted as a function of scale. Statistical analyses show the relations between curvature and these two manufacturing processes at multiple scales.

Pages (from - to)

44 - 50




License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

at the time of publication

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