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TECHNICAL PAPERS

Engineering Surface Analysis With Different Wavelet Bases

[+] Author and Article Information
Shengyu Fu, B. Muralikrishnan, J. Raja

Center for Precision Metrology, The University of North Carolina at Charlotte, Charlotte, NC 28223

J. Manuf. Sci. Eng 125(4), 844-852 (Nov 11, 2003) (9 pages) doi:10.1115/1.1616947 History: Received December 01, 2001; Revised April 01, 2003; Online November 11, 2003
Copyright © 2003 by ASME
Topics: Wavelets , Filters
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References

ASME B46.1, 1995, Surface Texture (Surface Roughness, Waviness, and Lay).
Raja,  J., Muralikrishnan,  B., and Fu,  S., 2002, “Recent Advances in Separation of Roughness, Waviness and Form,” Precis. Eng., 26 (2).
Jiang,  X. Q., Blunt,  L., and Stout,  K. J., 2000, “Development of a Lifting Wavelet Representation for Surface Characterization,” Proc. R. Soc. London, Ser. A, 456, pp. 2283–2313.
Chen,  X., Raja,  J., and Simanapali,  S., 1995, “Multi-Scale Analysis of Engineering Surfaces,” Int. J. Mach. Tools Manuf., 35(2), pp. 231–238.
Liu,  X., and Raja,  J., 1996, “The Application of Wavelet Filter Bank in Surface Metrology,” SPIE, 2825 , Aug.
Chen,  Q., Yang,  S., and Li,  Z., 1999, “Surface Roughness Evaluation by Using Wavelet Analysis,” Precis. Eng., 23 .
Heisenberg, Werner, 1949, Physical Principles of the Quantum Theory, Dover Publications Inc.
Mallat,  Stephane, 1989, “Multifrequency Channel Decompositions of Images and Wavelet Models,” IEEE Trans. Acoust. Speech Signal Process, 37(12), pp. 2091–2110.
Meyer, Y., 1993, Wavelets: Analysis and Applications, SIAM Press, Philadelphia.
Mallat, Stephane, 1999, A Wavelet Tour of Signal Processing, Second edition, Academic Press.
Strang, G., and Nguyen, T. Q., 1996, Wavelets and Filter Banks, Wellesley-Cambridge Press, Wellesley.
Daubechies, I., 1992, Ten Lectures on Wavelets, The Society for Industrial and Applied Mathematics.
Daubechies, I., 1989, “Orthonormal Bases of Compactly Supported Wavelets II. Variations on a Theme,” Technical Memo., #11217-891116-17, AT&T Bell Labs., Murray Hill.
Daubechies,  I., 1988, “Orthonormal Bases of Compactly Supported Wavelets,” Commun. Pure Appl. Math., 41, pp. 909–996.
Cohen,  A., Daubechies,  I., and Feauveau,  J. C., 1992, “Biorthogonal Bases of Compactly Supported Wavelets,” Commun. Pure Appl. Math. 45, pp. 485–560.
ISO 11562, 1996, Geometrical Product Specification (GPS)—Surface Texture: Profile Method—Metrological Characteristics of Phase Correct Filters, International Organization for Standardization, Geneva.
Bhargava, S., and Grant, M. B., 1993, “Taguchi Methods and Tolerance Assignment—The Wavelength Aspects of Surface Metrology,” Proceedings of the 1993 International Forum on Dimensional Tolerancing and Metrology, Dearborn, MI, June 17–19.
Liu,  X., Raja,  J., and Sannareddy,  H., 1995, “Assessment of Plateau Honed Surface Texture Using Wavelet Transform,” Proc. ASPE, 14, pp. 672–675.
Jiang, X. Q., Blunt, L., and Stout, K. J., 1997, “Evaluation of Functional Features of the Orthopaedic Joint Prosthses Surfaces Using Wavelet Analysis,” Proc. ASPE 1997 Spring Topical Meeting, Advances in Surface Metrology, Annapolis, Maryland.
Thomas,  T. R., and Charlton,  G., 1981, “Variation of Roughness Parameters on Some Typical Manufactured Surfaces,” Precis. Eng., 3(2), pp. 91–96.
ISO 13565-1:1996(E), Geometrical Product Specification (GPS)—Surface Texture: Profile Method; Surfaces Having Stratified Functional Properties—Part 1: Filtering and General Measurement Conditions, International Organization for Standardization, Geneva.

Figures

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Analysis and synthesis filter banks
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Division and nesting of wavelet and scaling spaces in L2(R)
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Multistage filter bank for multiresolution analysis
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Multiresolution in frequency domain
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Scaling function and wavelet for Haar
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Transmission characteristics for Haar wavelet and scaling function
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Scaling function and wavelet for Db2, Db4, Db6 and Db8
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Transmission characteristics for Db2, Db4, Db6 and Db8
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Scaling function and wavelet for Coif1, Coif2, Coif3 and Coif4
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Transmission characteristics for Coif1, Coif2, Coif3 and Coif4
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Decomposition and reconstruction scaling functions and wavelets for Bior5.5 and Bior6.8
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Transmission characteristics for Bior5.5 and Bior6.8
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Comparison of low-pass decomposition filters
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A surface profile measured from a diesel crankshaft pin
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Multiresolution approximations of crankshaft pin profile with Bior6.8
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Multiresolution details of crankshaft pin profile with Bior6.8
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Three-band reconstructions of crankshaft pin profile with Bior6.8
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Form obtained by multiresolution analysis and ISO Gaussian filter
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A plateau honing surface profile
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Multiresolution approximations of plateau honing profile using Bior6.8
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Multiresolution details of plateau honing profile using Bior6.8
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Two-band reconstructions of plateau honing profile with Bior6.8
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Mean line obtained by multiresolution analysis and ISO RK filter

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