Theoretical enhancement of the Gaussian filtering of engineering surfaces
This study is an extension of the current use of Gaussian filters to smooth surface texture waveforms. It suggests an extension using Hermite polynomials to improve the definition of boundary lines and edges in the geometry of structured surfaces, and to enhance scratch and flaw detection. In additi...
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| Veröffentlicht in: | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2013-10, Vol.469 (2158), p.1-12 |
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| container_end_page | 12 |
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| container_issue | 2158 |
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| container_title | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences |
| container_volume | 469 |
| creator | Whitehouse, David J. |
| description | This study is an extension of the current use of Gaussian filters to smooth surface texture waveforms. It suggests an extension using Hermite polynomials to improve the definition of boundary lines and edges in the geometry of structured surfaces, and to enhance scratch and flaw detection. In addition, a new filtering concept is introduced to enhance the detection of boundary lines and edges and to improve the understanding of their local geometry, thereby minimizing the uncertainties in structured surface filtering and characterization. How this approach can incorporate the measurement of free-form surfaces as well as help improve the fidelity in scratch and crack detection, positioning and characterization is also discussed. |
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| fulltext | fulltext |
| identifier | ISSN: 1364-5021 |
| ispartof | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2013-10, Vol.469 (2158), p.1-12 |
| issn | 1364-5021 |
| language | eng |
| recordid | cdi_jstor_primary_24507929 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; Alma/SFX Local Collection |
| subjects | Curvature Differential equations Differential operators Differentials Fourier transformations Geometric shapes Geometry Hermite polynomials Mechanical engineering Surface texture |
| title | Theoretical enhancement of the Gaussian filtering of engineering surfaces |
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