An analysis of deviations of cylindrical surfaces with the use of wavelet transform

Metrology and Measurement Systems

Volumn 20, Issue 1, 2013, Pages 139-150

  Stepień, Krzysztof ^a   Makieła, Włodzimierz ^a  

^a KIELCE UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Approximation; Cylindricity profile; Decomposition; Wavelet transform

Indexed keywords

WAVELET DECOMPOSITION;

3D SIGNALS; APPROXIMATION; CYLINDRICAL SURFACE; CYLINDRICITY; CYLINDRICITY PROFILE; METHOD OF PROCESSING; SCIENCE AND TECHNOLOGY; SURFACE MICROTOPOGRAPHY; SURFACE NANOTOPOGRAPHY; WAVELETS TRANSFORM;

FOURIER ANALYSIS;

EID: 84875131605     PISSN: 08608229     EISSN: None     Source Type: Journal    
DOI: 10.2478/mms-2013-0013     Document Type: Article

References (29)

1. Lee, J.-D.(1999). Wavelet Transform for 3-D Reconstruction from Series Sectional Medical Images. Mathematical and Computer Modelling, 30, 1-13.
2. Jiang, X.Q., Blunt, L. (2001). Morphological assessment of in vivo wear of orthopaedic implants using multiscalar wavelets. Wear, 250, 217-221.
3. Chen, M., et al. (2008). Analysis of 3D microtopography in machined KDP crystal surfaces based on fractal and wavelet methods. International Journal of Machine Tools & Manufacture, 48, 905-913.
4. Wang, H.X., et al. (2010). Modification of three dimensional topography of the machined KDP crystal surface using wavelet analysis method. Applied Surface Science, 256, 5061-5068.
5. Jiang, X.Q., Blunt, L., Stout, K.J. (2001). Application of the lifting wavelet to rough surfaces. Precision Engineering, 25, 83-89.
6. Jiang, X.Q., Blunt, L. (2004). Third generation wavelet for the extraction of morphological features from micro and nano scalar surfaces. Wear, 257, 1235-1240.
7. Abdul-Rahman, H.S., Jiang, X.Q., Scott, P.J. (2013). Freeform surface filtering using the lifting wavelet transform. Precision Engineering, 37, 187-202.
8. Jurko, J., Panda, A., Behun, M. (2012). Analysis of cutting zone machinability during the drilling of XCr18Ni8 stainless steel. Applied Mechanics and Materials, 224, 142-145.
9. Šolc, M., Markulik, S., Grambalova, E. (2012). Quality of refractory materials in the technological process. Advanced Materials Research, 524-527, 2026-2030.
10. Adamczak, S., Makieła, W., Ste{ogonek}pień, K. (2010). Investigating advantages and disadvantages of the analysis of a geometrical surface structure with the use of Fourier and wavelet transform. Metrol. Meas. Syst., 12(2), 233-244.
11. Chui, C.K. (1992). An Introduction to Wavelets. Academic Press, New York.
12. Teolis, A. (1998). Computational Signal Processing with Wavelets. Birkhauser, Boston.
13. Białasiewicz, J.T. (2004). Wavelets and approximations. 2nd ed. Wydawnictwa Naukowo-Techniczne, Warsaw.
14. Rak, R.J. (2005). Wavelet analysis of measuring signals. In Proc. of the 7th School-conference "Computeraided metrology". Waplewo, Poland, 9-56.
15. Makieła, W., Ste{ogonek}pień, K. (2010). Evaluation of the methodology of basic wavelet selection on wavelet analysis of surface irregularities. PAK, 1, 32-34.
16. Brol, S., Grzesik, W. (2009). Continuous wavelet approach to surface profile characterization after finish turning of three different workpiece materials. Advances in Manufacturing Science and Technology, 33(1), 45-57.
17. Makieła, W. (2008). Decomposition and reconstruction of measurement signals using the wavelet analysis in the Matlab environment. Science Report CEEPUS Project Pl-0007 Geometrical Product Specifications-a new tendency in the design and realization of technological processes, TU Kielce, 117-128.
18. Zawada-Tomkiewicz, A., Storch, B. (2006). Introduction to the Wavelet Analysis of a Machined Surface Profile. Advances in Manufacturing Science and Technology, 28(2), 91-100.
19. Zawada-Tomkiewicz, A. (2009). Wavelet decomposition of a surface profiles after turning. PAK, 55(4), 243-246.
20. Zieliński, T. (2001). Wavelet transform applications in instrumentation and measurement: Tutorial & literature survey. Metrol. Meas. Syst., 5(3), 141-151.
21. Misiti, M., Misiti, Y., Oppenheim, G., Poggi, J.M. (2007). Wavelet Toolbox 4-User's Guide The MathWorks, Inc.
22. Janecki, D., Ste{ogonek}pień, K., Adamczak, S. (2010). Problems of measurement of barrel-and saddle-shaped elements using the radial method. Measurement, 43(5), 659-663.
23. Daubechies, I. (1988). Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math. 41, 909-996.
24. Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM, Philadelphia, USA.
25. Janecki, D. (2012). Edge elimination effect elimination in the recursive implementation of Gaussian filters. Precision Engineering, 36(1), 128-136.
26. Janecki, D. (2011). Gaussian filters with profile extrapolation. Precision Engineering, 35(4), 602-606.
27. Janecki, D. (2009). A generalized L2-spline filter. Measurement, 42(6), 937-943.
28. Dobrzanski, P., Pawlus, P. (2010). Digital filtering of surface topography: Part II. Applications of robust and valley suppression filters. Precision Engineering, 34, 651-658.
29. Li, H., et al. (2006). A novel robust Gaussian filtering method for the characterization of surface generation in ultra-precision machining. Precision Engineering, 30, 421-430.