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From planar surfaces based on lattices to freeform surfaces based on triangular meshes: an advanced extension of the areal motif method

Lou, Shan, Jiang, Xiang, Zeng, Wenhan, Abdul-Rahman, Hussein S. and Paul, Scott (2015) From planar surfaces based on lattices to freeform surfaces based on triangular meshes: an advanced extension of the areal motif method. In: 15th International Conference on Metrology and Properties of Engineering Surfaces, 2-5 March 2015, Charlotte, North Carolina, USA. (Unpublished)

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Surfaces are shifting from traditional planar surfaces to freeform surfaces with significantly reduced volume and weight and highly improved performance. The areal motif method is used to analyse the topographical features on planar surfaces which are important to surface function. However the areal motif analysis cannot be directly applied to freeform surfaces, usually described by the triangular mesh data structure. To overcome this obstacle, a feasible strategy is proposed to extend the motif method. Morphological operations are employed to separate the “texture” and “form” surface. The watershed segmentation is then applied to the “texture” height surface in which the connection of each vertex is defined by the triangular mesh. The tiny motif due to the over-segmentation is combined by pruning the peaks and pits in the Pfaltz graph.

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Item Type: Conference or Workshop Item (Paper)
Subjects: T Technology > TJ Mechanical engineering and machinery
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies > EPSRC Centre for Innovative Manufacturing in Advanced Metrology
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References: [1] Lou S, Jiang X, Bills P J and Scott P J 2013 Defining true tribological contact through application of the morphological method to surface topography Tribol. Lett. 50 185-93 [2] Lafuma A and Quere D 2003 Superhydrophobic states Nat. Mater. 2 457-60 [3] Bechert D W, Bruse M and Hage W 2000 Experiments with three-dimensional riblets as an idealized model of shark skin Exp. Fluids 28 403–12 [4] ISO 16610-85 Geometrical product specifications (GPS) – Filtration – Part 85: Morphological areal filters: Segmentation 2013 [5] CNOMO E00.14.015 N, etats geometriques de surface, calcul des parametres de profil 1983 [6] ISO 12085 Geometrical Product Specification (GPS) – Surface texture: Profile method - motif parameters 1996 [7] Jiang X, Scott P J, Whitehouse D J and Blunt L 2007 Paradigm shifts in surface metrology Part I. Historical philosophy Proc. R. Soc. A. 463 2071-99. [8] Scott P J 1992 The mathematics of motif combination and their use for functional simulation Int. J. Mach. Tools Manufact. 32 69-73 [9] ISO 25178-2 Geometrical product specifications (GPS) – Surface texture: Areal – Part 2: Terms, definitions and surface texture parameters 2012 [10] Maxwell J C 1870 On hills and dales Phil. Mag. 40 421-27 [11] Scott P J 2004 Pattern analysis and metrology: the extraction of stable features from observable measurements Proc. R. Soc. A 460 2845-64 [12] F. Barré and J. Lopez, 2000 Watershed lines and catchment basins: a new 3D-motif method Int. J. Mach. Tools Manuf. 40 1171-84 [13] Lou S, Jiang X and Scott P J 2013 Geometric computation theory for morphological filtering on freeform surfaces, Proc. R. Soc. A 469 20130150 [14] Pfaltz J L 1976 Surface networks Geograph. Analysis 8 77-93 [15] Takahashi S, Ikeda T, Shinagawa Y, Kunii T L and Ueda M 1995 Algorithms for extracting correct critical points and constructing topological graphs from discrete geographical elevation data, Comput. Graph. Forum 14 181-92 [16] Scott P J 2001 An algorithm to extract critical points from lattice height data Int. J. Mach. Tools Manufact. 41 1889-97
Depositing User: Shan Lou
Date Deposited: 19 Mar 2015 12:07
Last Modified: 28 Aug 2021 18:19


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