Analysis of paper variability using the continuous wavelet transform

Paperi ja Puu/Paper and Timber

Volumn 81, Issue 6, 1999, Pages 440-446

  Keller, D Steven ^a   Lewalle, Jacques ^b   Luner, Philip ^a  

^a STATE UNIVERSITY OF NEW YORK   (United States)

^b Syracuse University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA STRUCTURES; FOURIER TRANSFORMS; MATHEMATICAL MODELS; SPECTRUM ANALYSIS; WAVELET TRANSFORMS;

CONTINUOUS WAVELET TRANSFORMS; SECOND ORDER GAUSSIAN BASIC WAVELETS;

PAPER;

EID: 0033338949     PISSN: 00311243     EISSN: None     Source Type: Trade Journal    
DOI: None     Document Type: Article

References (59)

1. Morlet, J., Arens, G., Fougean, I., Giard, D.: Wave Propagation and Sampling Theory. Geophys. 47(1982), 203-236.
2. Coifman, R. R., Wickerhauser, M. V. Wavelets and Adapted Waveform Analysis. A Toolkit for Signal Processing and Numerical Analysis. Proceedings Symposium Applied Math. 47(1993), 1-33.
3. Bradshaw, G. A., McIntosh, B. A.:, Detecting Climate-Induced Patterns Using Wavelet Analysis. Environmental Pollution 83(1994):1, 135-142.
4. Bradshaw, G. A., Spies, T. A.: Characterizing Canopy Gap Structure in Forests using Wavelet Analysis. J. Ecology 80(1992) :2, 205-215.
5. Meneveau, C.: Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232(1991), 469-520.
6. Argoul, F., Arneodo, A., Grasseau, G., Gagne, Y., Hopfinger, E.J., Frisch, U.: Wavelet analysis of turbulence reveals the multifractal nature of the Richardson cascade. Nature, 338(1989):3, 51-55.
7. Euerson, R., Sirovich, L., Sreenivasan, K. R.: Wavelet analysis of the turbulent jet. Physics Letters A 145(1990), 314-322.
8. Liandrat, J. Moret-Bailly, F.: The wavelet transform: some applications to iluid dynamics and turbulence. Eur. J. Mech. B/ Fluids, 9(1990), 1-19.
9. Farge, M.: Wavelet Transforms and Their Applications to Turbulence. Annual Rev. Fluid Mech. 24(1992),395-457.
10. Brasseur, J.G., Wang, Q.: Structural evolution of intermittency and anisotropy at different scales analyzed using three-dimensional wavelet transforms. Phys. Fluids A, 4(1992):11, 2538-2554.
11. Zubair, L. M.: Studies in Turbulence Using Wavelet Transforms for Data Compression and Scale Separation, Ph.D. thesis, Yale University, 1993.
12. Higuchi, H., Lewalle, J., Crane, P.: On The Structure Of Two-Dimensional Wakes Behind A Pair Of Flat Plates. Phys. Fluids A, 6(1994),297-305.
13. Lewalle, J., Ashpis, D. E., Demonstration Of Wavelet Techniques In The Spectral Analysis Of Bypass Transition Data. NASA Technical Paper #3555, 1995.
14. Lewalle, J., and Ashpis, D. E.: Transport in bypass transition: mapping active time scales using wavelet techniques. Proceedings Turbulent Shear Flows X, August 1995.
15. Goupillaud, P., Grossmann, A., Morlet, J.: Cycle-octave and related transforms in seismic signal analysis. Geoexploration, 23(1984),85-102.
16. Li, Z., Grant, B.J.B., Lieber, B.B.: Time- Varying Pulmonary Arterial Input Impedance via Wavelet Decomposition. J. Appl. Physiology 78(1995):6, 2309-2319.
17. Lewalle, J., Peek, F. W., Murphy, S. J.: Wavelet Analysis of Olfactory Nerve Response to Stimulus. J. Theor. Biol. to appear in 1995.
18. Vetterli, M., Herley, C: Wavelets and Filter Banks: Theory and Design. IEEE Transactions on Signal Processing, 40(1992):9, 1.
19. Rioul, O., Vetterli, M.: Wavelets arid Signal Processing. IEEE Signal Processing Magazine 10(1991), 1.
20. Gopinath, R. A., Burrus, C. S.: Wavelet Transforms and Filterbanks in /34/.
21. Mallat, S.G.: A Theory for Multiresolution Signal Decomposition: The Wavelet Representation. IEEE Transactions Pattern Analysis and Machine Intelligence 11(1989):7, 1.
22. Weiss, L.G.: Wavelets and Wideband Correlation Processing. IEEE Sig. Proc. Mag. 1(1994), 13-32.
23. Unser, M.: Texture Discrimination Using Wavelets. Proceedings 1993 IEEE Computer Society Conference on Computer Vision and Pattern Recognition IEEE Computer Society Press, Los Alamitos, California, p. 640.
24. Wolf, D. Husson, R.: Application of Wavelets for the Analysis of Texture and for the Inspection of Industrial Surfaces (in French). J. Phys. III France 3(1993), 2133- 2148.
25. Field, D. J.: Neural Computing, 6(1994),559-601.
26. Field, D. J.: Scale-invariance and self similar 'wavelet' transforms: an analysis of natural scenes and mammalian visual systems. in /32/.
27. Daubechies, I.: Ten Lectures on Wavelets, CBMS Lecture Notes Series, SIAM Philadelphia, 1992.
28. Strang, G.: Wavelets and dilation equations: a brief introduction. SIAM Review 31(1989):4, 2.
29. Williams, J. R., Amaratunga, K.: Introduction to Wavelets in Engineering. Int. J. Numerical Meth. Eng. 37(1994),2365-2388.
30. Jawerth, B., Sweldens, W.: An overview of wavelet based multiresolution analyses. IMI Report 1(1993), 1.
31. Combes, J.M., Grossmann, A., Tchamitchian, P., eds.: Wavelets, Time-Frequency Methods and Phase Space, Springer-Verlag, New York, 1987.
32. Farge, M., Hunt, J.C.R., Vassilicos, J.C., eds.: Wavelets, Fractals, and Fourier Transforms, Clarendon Press, Oxford 1993.
33. Chui, C.K.: An Introduction to Wavelets, Academic Press, San Diego, 1992.
34. Chui, C.K., ed.: Wavelets - A Tutorial in Theory and Application, Academic Press, New York, 1992, p.603.
35. Kaiser, G.: A Friendly Guide to Wavelets, Birkhauser, Boston, 1994.
36. Heil, C. E.: Walnut, D.F.: Continuous and Discrete Wavelet Transforms. SIAM Review 31(1989):4, 628-666.
37. Bouydin, M., Colom, J. F., Pladellorens, J.: Using wavelets to determine paper formation by light transmission image analysis. Tappi J. 82(1999):7, 153-158.
38. Nesic, Z., Davies, M., and Dumont: Paper machine data analysis and compression using wavelets. Tappi J, 80(1997):10, 191- 204.
39. rd Scandanavian Conference on Image Analysis, Studentlitteratur, Lund, 1983, p.l88-193.
40. Foyn, B.M.: Two Dimensional Directional Analysis of Paper Formation, Thesis, University of Oslo, 1991.
41. Kapoor, S.G. Wu, S.M.: Predicting Printability of Gravure and Embossed Papers by Time Series Analysis. J. Phys. D: Appl. Phys. 12(1979), 2005-2017.
42. MacGregor, M. A., Johansson, P.- Å., Béland, M. -C.: Measurement of small- scale gloss variation in printed paper. Proceedings 1994 International Printing and Graphics Arts Conference, Tappi Press, Atlanta, 1994, p.33-43.
43. Kent, H.J., Climpson, N. A., Coggon, L., Hooper, J. J., Gane, P. A. C.: Novel techniques for quantitative characterization of coating structure. Tappi J. 69(1986):5, 78-83.
44. Kent, H.J.: The Fractal Dimension of Paper Surface Topography. Nordic Pulp Paper Res. J. 4(1991),191-196.
45. Praast, H., Göttsching, L: Detailed Analysis of Geometry and Intensity of Wire Marks. Das Papier, 44(1990):10, 529-537.
46. l'Anson, S.J., Kropholler, H.W.: Enhancing Visibility of Wire-Mark by Image Analysis. J. Pulp Paper Sci. 17(1991):1, J22-26.
47. Yuhara, T., Hasuike, M. Murakami, K.: Fiber Orientation Measurement with the two-dimensional Power Spectrum of a High- Resolution Soft X-Ray Image. J. Pulp Paper Sci. 17(1991):4, J110-114.
48. Parker, I. H.: Frequency analysis in the paper industry. Appita 28(1975):6, 409-413.
49. Norman, B., Wahren, D.: A comprehensive method for the description of mass distribution in sheets and flocculation and turbulence in suspensions. Svensk Papperstidn 75(1972):20, 807-818.
50. Flandrin, P., Some Aspects of Non-Stationary Signal Processing with Emphasis on Time-Frequency and Time-Scale Methods. p.68 in /31/.
51. Haar, A.: Math. Ann., "The Theory of Orthogonal Function Systems," 69:331(1910).
52. Cody, M. A.: The fast wavelet transform. Dr. Dobb's J., 4(1992), 2.
53. Lewalle, J.: Wavelet analysis of experimental data: some methods and the underlying physics. AIAA 94-2281, 25th AIAA Fluid Dynamics Colorado Springs, 1994.
54. Keller, D. S.: Paper Formation Measurement by Electron Beam Transmission Imaging and Analysis Using Wavelet Transforms, Ph.D. Dissertation, State University of New York, (1996).
55. Mallat, S., and Zhong, S.: Characterization of Signals from Multi Edges. IEEE Trans. PAMI 14(1992).
56. Grossman, A., Morlet, J.: Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape. SIAM J. Math. Anal. 15(1984), 723-736.
57. Marr, D., Hildreth, E., Theory of edge detection. Proc. R. Soc. Lond. B 207(1980), 187-217.
58. Marr, D., Vision, A Computational Investigation into the Human Representation and Processing of Visual Information, W.H. Freeman and Co., San Francisco, 1982.
59. Flandrin, P., and Gonçalvès,: From Wavelets to Time-Scale Energy Distributions. Recent Advances in Wavelet Analysis, Eds. Schumaker, L.L., Webb, G., Academic Press, New York, 1994, p.309.