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Development of mathematically-defined surfaces

Todhunter, Luke D.; Leach, Richard; Lawes, Simon; Harris, Peter; Blateyron, François

Authors

Luke D. Todhunter

Richard Leach

Simon Lawes

Peter Harris

François Blateyron



Abstract

New software has been developed that enables the creation of areal surface topography representations. The goal of this software package is to utilise the mathematically-defined surface representations in the development of surface texture parameter reference values. These surface texture parameter reference values will be compared against parameter values obtained by third-parties to assess the performance of their software. The reference values will be obtained from the calculation of parameters for a mathematically defined surface, to reduce some of the uncertainty associated with current reference standards, which are calculated from discrete surface representations. The software utilises exponential terms and the Fourier series to produce mathematical functions that describe a simulated areal surface. The software features a graphical user interface (GUI) that enables easy navigation, and allows users to customise the surface to create the topography they require. The GUI allows users to specify the size of the areal surface, and create the surface through one of two methods: either by building the surface manually through a summation of cosine terms, or by utilising a combination of pre-defined mathematical functions. The software allows the user to export the resulting surface as a mathematical equation written in a .TXT file, or as a discrete representation in the form of a dataset in the standardised .SDF file-type.

Start Date Oct 30, 2017
Publication Date Oct 31, 2017
Peer Reviewed Peer Reviewed
APA6 Citation Todhunter, L. D., Leach, R., Lawes, S., Harris, P., & Blateyron, F. (2017). Development of mathematically-defined surfaces
Related Public URLs http://www.npl.co.uk/pgi/conference-2017/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
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PGI_submission_abstract.pdf (72 Kb)
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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