Abstract
The main goal of this paper is to describe a method based on the continuous wavelet transform (CWT). The Shannon entropy of CWT coefficients in each scale is calculated in order to detect the characteristic trends of the CMM measurement data efficiently. This method is successfully implemented in a body-in-white (BIW) assembly for the detection of periodic trends in coordinate measure machine (CMM) data. It would contribute to main cause location in BIW quality control. The principle of the CWT and the property of the periodic trend after the CWT are explained from a mathematical viewpoint. An actual quality-control case is analyzed using the CWT method. Consistency between the results and the actual situation proves the effectiveness of this CWT method.
Similar content being viewed by others
References
Shewhart WA (1931) Economic control of quality of manufactured product. Van Nostrand, New York
Wu SM, Hu SJ (1990) Impact of 100% in-process measurement on statistical process control (SPC) in automobile body assembly. ASME Trans Prod Eng Div 44:433–448
Roan C, Hu SJ, Wu SM (1993) Computer aided identification of root causes of variation in automotive body assembly. ASME Trans Prod Eng Div 64:391–400
Ceglarek D, Shi J, Wu SM (1993) Auto-body assembly diagnostic: a knowledge-based approach. ASME Trans Prod Eng Div 64:401–412
Wu S-K, Hu SJ, Wu SM (1994) Optimal door fitting with systematic fixture adjustment. Int J Flex Manuf Syst 6(2):99–121
Wu S-K, Hu SJ, Wu SM (1994) A fault identification and classification scheme for an automobile door assembly process. Int J Flex Manuf Syst 6(4):261–285
Ceglarek D, Shi J, Wu SM (1994) Knowledge-based diagnostic approach for the launch of the auto-body assembly process. ASME Trans J Eng Ind 116:491–499
Roan C, Hu SJ (1995) Monitoring and classification of dimensional faults for automotive body assembly. Int J Flex Manuf Syst 7(2):103–125
Ceglarek D, Shi J (1996) Fixture failure diagnosis for auto body assembly using pattern recognition. ASME Trans J Eng Ind 118:55–65
Hu SJ, Roan C (1996) Change patterns of time series-based control charts. J Qual Technol 28(3):302–312
Hu SJ (1997) Stream-of-variation theory for automotive body assembly. CIRP Ann Manuf Technol 46(1):1–6
Jin J, Shi J (1998) Automatic feature extraction of waveform signals for in-process diagnostic performance improvement. Proceedings of the IEEE International Conference on Systems, Man and Cybernetics 5:4716–4721
Apley D, Shi J (1998) Diagnosis of multiple fixture faults in panel assembly. ASME Trans J Manuf Sci Eng 120:793–801
Oppenheim AV, Willsky AS, Young IT (1984) Signals and systems. Prentice-Hall, New York
Gabor D (1946) Theory of communication. J Inst Elect Eng 93(3)
Mallat S (1989) Multiresolution approximation and wavelet orthogonal bases of L2(R). Trans Am Math Soc 315(1):69–87
Daubechies I (1990) The wavelet transform, time-frequency localization and signal analysis. Trans Inf Theory 36(5)
Walter G, Shen X (2001) Wavelets and other orthogonal systems, 2nd edn. Chapman and Hall, London
Mallat S, Hwang W (1992) Singularity detection and processing with wavelets. IEEE Trans Inf Theory 38(2):617–643
Coifman RR, Wickerhauser MV (1992) Entropy-based algorithms for best basis selection. IEEE Trans Inf Theory 38:713–718
Shannon CE (1948) A mathematical theory of communication. Bell Syst Technol J 27:379–423, 623–659
Grossman A, Morlet J (1984) Decomposition of hardy functions into square integrable wavelets of constant shape. SIAM J Math 15:723–726
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hua, W., Guanlong, C., Ping, Z. et al. Periodic trend detection from CMM data based on the continuous wavelet transform. Int J Adv Manuf Technol 27, 733–737 (2006). https://doi.org/10.1007/s00170-004-2232-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-004-2232-2