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Third generation wavelet for the extraction of morphological features from micro and nano scalar surfaces

Jiang, Xiang and Blunt, Liam (2004) Third generation wavelet for the extraction of morphological features from micro and nano scalar surfaces. Wear, 257. pp. 1235-1240. ISSN 0043-1648

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Abstract

This paper investigates wavelet theory and techniques for the extraction of morphological structures from micro/nano scalar surfaces. It will significantly extend the authors’ previous accomplishments in the programme (EU: SMT CT98-2209). This previous work identified problems in the extraction of morphological structures that requires further study. Under a new EPSRC found project, the present work tries to overcome these problems and facilitates more practical and feasible methodologies for the identification and extraction of morphological structures on micro/nano scalar surface textures.

In the current work, a complex wavelet model is introduced to solve the problems of nanometre roughness analysis of surface texture with linear features and curve-like features, in which small shifts of the input signal can cause large variations in the distribution of energy between wavelet coefficients at different scales. As a result, linear and curve-like features on a surface topography can be identified and extracted with refined accuracy. Case studies are conducted using automotive cylinders and femoral heads to demonstrate the application of using the new wavelet model in the assessment of surface topography.

Item Type: Article
Additional Information: UoA 25 (General Engineering) © 2004 Elsevier B.V. All rights reserved.
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies
School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
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References: [1] I. Daubechies, Ten Lectures on Wavelets, 1st ed., SIAM, Philadelphia, 1992. [2] C.K. Chui, An Introduction on Wavelets, SIAM, Philadelphia, 1992. [3] L. Blunt, The development of a basis for 3D surface roughness standards, E.C. Contract No. SMT4-CT98-2256, 1998. [4] X.Q. Jiang, L. Blunt, K.J. Stout, Three-dimensional surface characterisation for orthopaedic joint prostheses, Proc. Inst. Mech. Eng. 213 (1999) 49–68. [5] X.Q. Jimg, L. Blunt, K.J. Stout, Development of a lifting wavelet representation for surface characterisation, Proc. Roy. Soc. Lond. A 456 (2000) 1–31. [6] ISQ/DTS 16610-29, Geometrical Product Specification (GPS) Filtration. Part 29. Linear Profile Filters: Spline Wavelets, 2003. [7] L. Blunt, X. Jiang, Advanced Techniques for Assessment Surface Topography, 1st ed., Kogan Page Science, London, 2003. [8] W. Swelden, The lifting scheme: a custom-design construction of biorthogonal wavelets, Appl. Comput. Harmon. A 3 (2) (1996) 186–200. [9] W. Swelden, The lifting scheme: a construction of second generation wavelets, Bell Lab. SIAM J. Math. Anal. 29 (2) (1998) 511–546. [10] L. Blunt (Ed.), Final Year Research Report, The Development a Basis for 3D Surface Roughness Standards—The EC Program SMT CT98-2209, July 2001. [11] X.Q. Jiang, L. Blunt, Morphological assessment of in Vivo wear of orthopedic implants using multiscale wavelets, Wear 250 (2001) 217–221. [12] X.Q. Jiang, L. Blunt, Third Generation Wavelet for the Extraction of Morphological Features from Micro and Nano Scalar Surfaces, EPSRC GR/S13316/01, 2003. [13] N. Kingsbury, Image processing with complex wavelets, Phil. Trans. Roy. Soc. Lond. A 357 (1999) 2543–2560. [14] N. Kingsbury, Complex wavelets for shift invariant analysis and filtering of signals, J. Appl. Comput. Harmon. Anal. 10 (3) (2001) 234–253. [15] H. Choi, J.K. Romberg, R.G. Baraniuk, N.G. Kingsbury, Hidden Markov tree modeling of complex wavelet transforms, in: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP’00, Istanbul, Turkey, June 2000. [16] J. Ma, X. Jiang, Complex, shift invariant surface characterization based on complex wavelets transform, pattern analysis, submitted for publication.
Depositing User: Briony Heyhoe
Date Deposited: 12 Jul 2007
Last Modified: 06 Apr 2018 16:52
URI: http://eprints.hud.ac.uk/id/eprint/282

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