Wavelet transforms on two-dimensional images

Mathematical and Computer Modelling

Volumn 36, Issue 7-8, 2002, Pages 939-948

  Schmeelk, J ^a  

^a VIRGINIA COMMONWEALTH UNIVERSITY   (United States)

Author keywords

Two dimensional image processing; Wavelet transform techniques; Windowed Fourier transform

Indexed keywords

EID: 0037069623     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)00238-8     Document Type: Article

References (48)

1. G. Strange, Wavelet transforms versus Fourier transforms, Bulletin of the AMS 28 (2), 288-305. (1993)
2. C.K. Chui, Editor, An Introduction to Wavelets, Volume 1, Academic, New York, (1992).
3. I. Daubechies, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Pennsylvania, (1992).
4. S.G. Mallat, A theory for multiresolution signal decomposition: The wavelet representation, IEEE Transactions of Pattern Analysis and Machine Intelligence 11 (7), 674-693, (1989).
5. M. Ruskai, G. Beylkin, R. Coifman, I. Daubechies, S. Mallat, Y. Meyer and L. Raphael. Editors. Wavelets and Their Applications, Jones and Bartlett, Boston, MA, (1992).
6. C.K. Chui, Editor, Wavelets: A Tutorial in Theory and Applications, Academic Press, New York. (1992).
7. Y. Meyer, Wavelets Algorithms and Applications, Society for Industrial and Applied Mathematics, Pennsylvania, (1993).
8. I. Daubechies, The wavelet transform, time frequency localization and signal analysis, IEEE Transactions on Information Theory 36 (5), 961-1005, (1990).
9. S.G. Mallat and S. Zhong, Characterization of signals from multiscale edges, IEEE Transactions on Pattern Analysis and Machine Intelligence 14 (7), 710 732, (1992).
10. A.N. Akansu and R.A. Haddad, Multiresolution Signal Decomposition, Academic, New York. (1992).
11. H.C. Andrews and B.R. Hunt, Digital Image Restoration, Prentice Hall, New Jersey, (1977).
12. D.H. Ballard and C.M. Brown, Computer Vision, Prentice Hall, New Jersey, (1982)
13. B.G. Batchelor, Pattern Recognition, Plenum, New York, (1978).
14. N.K. Bose, Digital Filters Theory and Applications, Elsevier Science, New York, (1985)
15. J. Canny, A computational approach to edge detection, IEEE Transactions on Pattern Analysis and Machine Intelligence 8 (6), 678-698, (1986).
16. F.W. Campbell and J.D. Robson, Application of Fourier analysis to the visibility of gratings, J. Physiol. 197, 551-556. (1968).
17. J.W. Candy, Signal Processing - The Modern Approach, McGraw-Hill, New York, (1988).
18. J.M. Combes, A. Grossmann and Ph. Tchamitchian, Editors, Wavelets Time - Frequency Methods and Phase Space, Proceedings of the International Conference, Marseille, France, Dec. 14-18, 1987, Springer-Verlag, New York, (1990).
19. I. Daubechies, Time-frequency localization operators: A geometric approach, IEEE Transactions on Information Theory 34 (4), 605-612, (1988).
20. P.D. Gader, Separable decompositions and approximations of greyscale morphological templates, Comp. Image Understanding 53 (3), 288-296. (1991).
21. R.C. Gonzalez and R.E. Woods, Digital Image Processing, Addison-Wesley, Massachusetts, (1992).
22. R.M. Haralick and L.G. Shapiro, Computer and Robot Vision, Addison-Wesley, Massachusetts, (1992).
23. Z.-Q. Hong, Algebraic feature extraction of image for recognition, Pattern Recognition 24 (3), 211-219. (1991).
24. A.K. Jain, Fundamentals of Digital Image Processing, Prentice Hall, New Jersey, (1989).
25. G. Kaiser, An algebraic theory of wavelets, I. Operational calculus and complex structure, SIAM J. Math. Anal. 23 (1), 222-243, (1992).
26. L.N.K. Kanal, Interactive pattern analysis and classification systems; A survey and commentary, Proceedings of the IEEE 60, 1200-1216, (1972).
27. B.C. Levy, M.B. Adams and A.S. Willsky, Solution and linear estimation for 2-D nearest-neighbor models, Proceedings of the IEEE 78 (4), 627-641, (1990).
28. J.S. Lim, Two-Dimensional Signal and Image Processing, Prentice Hall, New Jersey. (1990).
29. S. Lu and A. Szeto, Pattern Recognition Letters 12, 155-164, (1991).
30. S.G. Mallat, Multifrequency channel decompositions of images and wavelet models, IEEE Transactions on Acoustics, Speech, and Signal Processing 37 (12), 2091-2110, (1989).
31. S.G. Mallat, Zero-crossings of a wavelet transform, IEEE Transactions on Information Theory 37 (4), 1019-1033, (1991).
32. D. Marr and E. Hildreth, Theory of edge detection, Proc. R. Soc. Long. B (207), 187-217, (1980).
33. R.M. Mersereau and D.E. Dudgeon, Two-dimensional digital filtering, Proceedings of the IEEE 63 (4) 610-623, (1975).
34. G. Nagy, Digital image-processing activities in remote sensing for earth resources, Proceeding of the IEEE 60 (10), 1177-1200, (1972).
35. H. Ogawa, Symmetry analysis of line drawings using the Hough transform, Pattern Recognition Letters 12 9-12, (1991).
36. A. Oppenheim and R. Schafer, Digital Signal Processing, Prentice-Hall, New Jersey, (1975).
37. S.K. Pal and A. Ghosh, Index of area coverage of fuzzy image subsets and object extraction, Pattern Recognition Letters 11, 831-841, (1990).
38. A. Papoulis, Signal Analysis, McGraw Hill, New York, (1977).
39. W. Pedrycz, Fuzzy sets in pattern recognition: Methodology and methods, Pattern Recognition Letters 23 (1/2), 121-146, (1990).
40. S. Poularikas, D. Alexander and S. Selly, Signals and Systems, Prindle Weber & Schmidt, Massachusetts. (1985).
41. W.K. Pratt, Digital Image Processing, John Wiley " Sons, New York, (1991).
42. S. Ranka and T. Heywood, Two-dimensional pattern matching with k mismatches, Pattern Recognition 24 (2), 31-41, (1991).
43. A. Rosenfeld, Survey image analysis and computer vision, Pattern Recognition 53 (3), 322-365, (1991).
44. R.J. Schalkoff, Digital Image Processing and Computer Vision, John Wiley & Sons, 1989.
45. W.-H. Tsai and S.-L. Chou, Detection of generalized principal axes in rotationally symmetric shapes, Pattern Recognition 24 (2), 95-104, (1991).
46. M. Tuceryan and T. Chorzempa, Relative sensitivity of a family of closest-point graphs in computer vision applications 24 (5), 361-373, (1991).
47. Ch.H. Wang, L. Huang and A. Rosenfeld, Detecting clouds and cloud shadows on aerial photographs, Pattern Recognition Letters 12, 55-64, (1991).
48. R.E. Ziemer and W.H. Tranter, Principles of Communications Systems Modulation and Noise, Houghton Mifflin, Massachusetts, (1990).