Wavelets for a vision

Proceedings of the IEEE

Volumn 84, Issue 4, 1996, Pages 604-614

  Mallat, Stéphane ^a,b,c,d  

^a NEW YORK UNIVERSITY   (United States)

^b Department of Applied Mathematics ^*  (France)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

^d ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER VISION; EDGE DETECTION; IMAGE ANALYSIS;

MULTIRESOLUTION SEARCH; MULTISCALE EDGE DETECTION; TEXTURE DISCRIMINATION;

WAVELET TRANSFORMS;

EID: 0030127769     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/5.488702     Document Type: Article

References (37)

1. J. Aloimonos and A. Rosenfeld, "Computer vision," Sci., vol. 253, pp. 1249-1253, Sept. 1991.
2. L. Alvarez, P.-L. Lions, and J.-M. Morel, "Image selective smoothing and edge detection by nonlinear diffusion II," SIAM J. Numer. Anal., vol. 29, no. 3, pp. 845-866, 1992.
3. P. Anandan, "A computational framework and an algorithm for the measurement of visual motion," Int. J. Computer Vision, no. 2, pp. 283-310, 1989.
4. Z. Berman and J. Baras, "Properties of multiscale maxima and zero-crossing representations," IEEE Trans. Signal Process., vol. 41, pp. 3216-3231, Dec. 1993.
5. A. Bovik, M. Clark, and W. Geisler, "Multichannel texture analysis using localized spatial filters," IEEE Trans. Patt. Anal. and Mach. Intell., vol. 12, pp. 55-73, 1990.
6. P. Burt, "Smart sensing within a pyramid vision machine," Proc. IEEE, vol. 76, pp. 1006-1015, Aug. 1988.
7. P. Burt and E. Adelson, "The Lapalacian pyramid as a compact imase code," IEEE Trans. Comm., vol. COM-31, pp. 532-549, Apr. 1983.
8. J. Canny, "A computational approach to edge detection," IEEE Trans. Patt. Anal, and Mach. Intell., vol. 36, pp. 961-1005, Sept. 1986.
9. B. Horn, Robot Vision. Cambridge, MA: MIT Press, 1985.
10. A. Cohen and J. Kovacevic, "Wavelets: The mathematical background," Proc. IEEE, this issue, pp. xxx-xxx.
11. J. G. Daugmann, "Two-dimensional spectral analysis of cortical receptive field profile," Vision Res., vol. 20, pp. 847-856, 1980.
12. W. Crimson, "Computational experiments with a feature based stereo algorithm," IEEE Trans. Palt. Anal, and Mach. Intell., vol. 7, pp. 17-34, Jan. 1985.
13. D. Hubel and T. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat's visual cortex," J. Physiol., vol. 160, 1962.
14. R. Hummel and R. Moniot, "Reconstruction from zero-crossings in scale-space," IEEE Trans. Acoust. Speech and Signal Process., vol. 37, Dec. 1989.
15. A. Jain and F. Farrokhnia, "Unsupervised texture segmentation using Gabor filters," Patt. Recog., vol. 24, no. 12, pp. 1167-1186, 1991.
16. B. Julesz, "Textons, the elements of texture perception and their interactions," Nature, vol. 290, Mar. 1981.
17. G. Kanizsa, Organization in Vision. New York: Praeger, 1979.
18. J. Koendcrink, "The structure of images," in Biological Cybernetics. New York: Springer Verlag, 1985.
19. K. Kumaran, D. Geiger, and L. Gurvits, "Illusory surfaces and visual organization," J. Network: Computat. in Neur. Syst., vol. 7, no. 1, Feb. 1995.
20. A. Laine and J. Fan, "Texture discrimination and classification by wavelet packets," IEEE Trans. Patt. Anal, and Mach. Intell., vol. 15, pp. 1186-1191, Nov. 1993.
21. J. Malik and P. Perona, "Preattentive texture discrimination with early vision mechanisms," J. Opt. Soc. Amer., vol. 7, pp. 923-932, 1990.
22. S. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation," IEEE Trans. Patt. Anal, and Mach. Intell., vol. 11, pp. 674-693, July 1989.
23. S. Mallat and S. Zhong, "Characterization of signals from multiscale edges," IEEE Trans. Patt. Anal, and Mach. Intell., vol. 14, pp. 710-732, July 1992.
24. D. Marr, Vision. Freeman: San Fransisco, 1982.
25. Y. Meyer, Ondelettes et Operateurs. Paris: Hermann, 1990.
26. _, Wavelets, Algorithms and Applications. Philadelphia: SIAM, 1993.
27. P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Patt. Anal, and Mach. Intell., vol. 12, pp. 629-639, July 1990.
28. D. A. Pollen and S. F. Ronner, "Visual cortical neurons as localized spatial frequency filter," IEEE Trans. Syst. Man. Cybern., vol. 13, Sept. 1983.
29. M. Porat and Y. Zeevi, "Localized texture processing in vision: analysis and synthesis in Gaborian space," IEEE Trans. Biomed. Eng., vol. 36, pp. 115-129, Jan. 1989.
30. A. Rosenfeld and M. Thurston, "Edge and curve detection for visual scene analysis," IEEE Trans. Comput., vol. C-29, 1971.
31. A. Rosenfeld and G. J. Vanderburg, "Coarse-fine template matching," IEEE Trans. Syst. Man. Cybern., vol. SMC-7, pp. 104-107, 1977.
32. G. Sapiro and A. Tannenbaum, "On affine plane curve evolution," J. Function. Anal., vol. 119, pp. 514-529, 1994.
33. E. Schwanz, "Computational anatomy and functional architecture of striate cortex: a spatial mapping approach to perceptual coding," Vision Res., vol. 20, pp. 645, 1980.
34. M. Unser and M. Eden, "Multiresolution feature extraction and selection for texture feature segmentation," IEEE Trans. Patt. Anal, and Mach. IntelL, vol. 11, pp. 717-727, 1989.
35. Z. Cvetkovic and M. Vetterli, "Discrete-time wavelet extrema representation: design and consistent reconstruction," to be published.
36. A. Witkin, "Scale space filtering," in Proc. Int. Joint. Conf. Artif. Intell., 1983.
37. A. Yuille and T. Poggio, "Scaling theorems for zero-crossings," IEEE Trans. Patt. Anal. and Mach. Intell., vol. PAMI-8, Jan. 1986.