Abstract

A new method for performance validation of surface texture parameter calculation software is introduced, focussing on functional surface texture parameters. Material ratio curves are defined algebraically and used to calculate functional surface texture parameters mathematically. Discrete datasets are created from the material ratio curves and input into three third-party parameter calculation software packages. Comparisons are made between the software-obtained parameter values and the mathematical values, identifying significant differences between them. Work is carried out to highlight inaccuracies introduced by sampling discrete datasets from mathematical representations, and it is shown that the resulting variations in parameter values are insignificant compared to the differences from the mathematical values.

Highlights

  • Surface texture parameters are quantitative descriptors of a surface that serve to capture certain information about the surface to be characterised and present that information as single values [1,2,3,4]

  • Surface topography data is measured at discrete spatial locations, and so the surface texture parameter definitions must be interpreted as numerical algorithms to be applied to the data, and usually applied as software

  • The work presented in this paper introduces a new method for validation and performance assessment of surface texture parameter calculation software, focussing on functional parameters

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Summary

11 February 2019

Mathematical approach to the validation of functional surface texture parameter software Luke Todhunter , Richard Leach, Simon Lawes, Peter Harris and François Blateyron. A new method for performance validation of surface texture parameter calculation software is. Any further distribution of introduced, focussing on functional surface texture parameters. Material ratio curves are defined this work must maintain attribution to the algebraically and used to calculate functional surface texture parameters mathematically. Discrete author(s) and the title of datasets are created from the material ratio curves and input into three third-party parameter the work, journal citation and DOI. Comparisons are made between the software-obtained parameter values and the mathematical values, identifying significant differences between them. Work is carried out to highlight inaccuracies introduced by sampling discrete datasets from mathematical representations, and it is shown that the resulting variations in parameter values are insignificant compared to the differences from the mathematical values

Introduction
Mathematically defined surfaces
Parameter evaluation
Comparison with existing software
Verification of the dataset
Findings
Conclusions
Full Text
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