Paper
1 April 1992 Some problems in the characterisation of surface microtopography
Tom R. Thomas
Author Affiliations +
Abstract
The difficulties of describing real rough surfaces in mathematical terms are introduced. The statistical treatment of height distributions leads to the application of time series analysis. But real surfaces often behave as non-stationary random processes, implying that their geometrical properties are not intrinsic constants but depend on sampling interval and sample length. Current attempts to incorporate these ideas into international roughness standards are described. Recent developments in fractal geometry have suggested a way forward, and some evidence is presented that rough surfaces on a nanometric scale may behave as self-affine fractals. Finally the difficulties of generalizing from two-dimensional descriptions to three- dimensional surfaces are discussed with particular reference to anisotropy.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Tom R. Thomas "Some problems in the characterisation of surface microtopography", Proc. SPIE 1573, Commercial Applications of Precision Manufacturing at the Sub-Micron Level, (1 April 1992); https://doi.org/10.1117/12.57762
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CITATIONS
Cited by 3 scholarly publications.
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KEYWORDS
Fractal analysis

Manufacturing

Surface roughness

Electronic filtering

Digital filtering

Standards development

Anisotropy

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