Development of mathematical reference standards for the validation of surface texture parameter calculation software

Abstract

A framework for the validation of surface texture parameter calculation software is proposed. The framework utilises mathematically defined surfaces and mathematically calculated surface texture parameter values to produce a reference against which third-party software can be compared; in principle, free from the approximations that are intrinsic when applying numerical methods and algorithms to discrete data in order to realise continuous definitions. This paper provides a proof-of-concept of the new framework using a simple two-term cosine surface. The required steps to enable meaningful comparison and subsequent validation of surface texture parameter calculation software are showcased.