Fourier domain interpretation of real and pseudo-moiré phenomena

Optics Express

Volumn 19, Issue 27, 2011, Pages 26065-26078

  Patorski, Krzysztof ^a   Pokorski, Krzysztof ^a   Trusiak, MacIej ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING; MODULATION; WAVELET DECOMPOSITION; WAVELET TRANSFORMS;

BI-DIMENSIONAL EMPIRICAL MODE DECOMPOSITIONS; FOURIER SPECTRA; IMAGE PROCESSING TOOLS; INTENSITY DISTRIBUTION; INTENSITY MODULATIONS; INTENSITY VARIATIONS; PATTERN CHARACTERISTIC; TWO-DIMENSIONAL CONTINUOUS WAVELET TRANSFORMS;

FOURIER TRANSFORMS;

ARTICLE; COMPUTER SIMULATION; FOURIER ANALYSIS; LIGHT; METHODOLOGY; RADIATION SCATTERING; REFRACTOMETRY; THEORETICAL MODEL;

COMPUTER SIMULATION; FOURIER ANALYSIS; LIGHT; MODELS, THEORETICAL; REFRACTOMETRY; SCATTERING, RADIATION;

EID: 84555169162     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.026065     Document Type: Article

References (24)

1. S. Kobayashi, Handbook on Experimental Mechanics, 2nd ed., (SEM, Bethel, 1993).
2. K. Patorski, Handbook of the Moiré Fringe Technique (Elsevier, Amsterdam, 1993).
3. O. Bryngdahl, "Characteristics of superposed patterns in optics," J. Opt. Soc. Am. 66(2), 87-94 (1976).
4. I. Amidror and R. D. Hersch, "The role of Fourier theory and of modulation in the prediction of visible moiré effects," J. Mod. Opt. 56(9), 1103-1118 (2009).
5. I. Amidror, The Theory of the Moiré Phenomenon (Springer-Verlag, London, 2009).
6. O. Bryngdahl, "Moiré: Formation and interpretation," J. Opt. Soc. Am. 64(10), 1287-1294 (1974).
7. O. Bryngdahl, "Moiré and higher grating harmonics," J. Opt. Soc. Am. 65(6), 685-694 (1975).
8. K. Patorski, S. Yokozeki, and T. Suzuki, ""Moiré profile prediction by using Fourier series formalism," Jpn. J. Appl. Phys. 15(3), 443-456 (1976).
9. R. Eschbach, "Generation of moiré by nonlinear transfer characteristics," J. Opt. Soc. Am. A 5(11), 1828-1835 (1988).
10. Z. Wang and H. Ma, "Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing," Opt. Eng. 45(4), 045601 (2006).
11. M. A. Gdeisat, D. R. Burton, and M. J. Lalor, "Spatial carrier fringe pattern demodulation by use of a twodimensional continuous wavelet transform," Appl. Opt. 45(34), 8722-8732 (2006). (Pubitemid 46153105)
12. K. Pokorski and K. Patorski, "Visualization of additive-type moiré and time-average fringe patterns using the continuous wavelet transform," Appl. Opt. 49(19), 3640-3651 (2010).
13. K. Patorski and K. Pokorski, "Examination of singular scalar light fields using wavelet processing of fork fringes," Appl. Opt. 50(5), 773-781 (2011).
14. M. B. Bernini, A. Federico, and G. H. Kaufmann, "Noise reduction in digital speckle pattern interferometry using bidimensional empirical mode decomposition," Appl. Opt. 47(14), 2592-2598 (2008).
15. M. B. Bernini, A. Federico, and G. H. Kaufmann, "Normalization of fringe patterns using the bidimensional empirical mode decomposition and the Hilbert transform," Appl. Opt. 48(36), 6862-6869 (2009).
16. M. B. Bernini, A. Federico, and G. H. Kaufmann, "Phase measurement in temporal speckle pattern interferometry signals presenting low-modulated regions by means of the bidimensional empirical mode decomposition," Appl. Opt. 50(5), 641-647 (2011).
17. M. Wielgus and K. Patorski, "Evaluation of amplitude encoded fringe patterns using the bidimensional empirical mode decomposition and the 2D Hilbert transform generalizations," Appl. Opt. 50(28), 5513-5523 (2011).
18. S. M. A. Bhuiyan, R. R. Adhami, and J. F. Khan, "A novel approach of fast and adaptive bidimensional empirical mode decomposition," IEEE Int. Conf. on Acoustics, Speech and Signal Processing, 1313-1316 (2008).
19. S. M. A. Bhuiyan, R. R. Adhami, and J. F. Khan, "Fast and adaptive bidimensional empirical mode decomposition using order-statistics filter based envelope estimation," EURASIP J. Adv. Signal Process. ID728356, 1-18 (2008).
20. N. E. Huang, Z. Sheng, S. R. Long, M. C. Wu, W. H. Shih, Q. Zeng, N. C. Yen, C. C. Tung, and H. H. Liu, "The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis," Proc. R. Soc. Lond. A 454(1971), 903-995 (1998). (Pubitemid 128733183)
21. S. Damerval, S. Meignen, and V. Perrier, "A fast algorithm for bidimensional EMD," IEEE Signal Process. Lett. 12(10), 701-704 (2005). (Pubitemid 41448579)
22. D. Barber, D. P. Dobkin, and H. Huhdanpaa, "The quickhull algorithm for convex hulls," ACM Trans. Math. Softw. 22(4), 469-483 (1996). (Pubitemid 126417394)
23. J. C. Nunes, Y. Bouaoune, E. Delechelle, O. Niang, and Ph. Bunel, "Image analysis by bidimensional empirical mode decomposition," Image Vis. Comput. 21(12), 1019-1026 (2003).
24. X. Guanlei, W. Xiatong, and X. Xiaogang, "Improved bi-dimensional EMD and Hilbert spectrum for the analysis of textures," Pattern Recognit. 42(5), 718-734 (2008).