A wavelet multiresolution analysis for spatio-temporal signals

IEEE Transactions on Aerospace and Electronic Systems

Volumn 32, Issue 2, 1996, Pages 628-649

  Burns, Thomas J ^a   Rogers, Steven K ^a   Oxley, Mark E ^a  

^a AIR FORCE INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FOURIER TRANSFORMS; TENSORS; THREE DIMENSIONAL; WAVELET TRANSFORMS;

DISCRETE SUBBAND TRANSFORM; ONE DIMENSIONAL APPROXIMATION; SPATIAL DECOMPOSITION PROCESSES; TEMPORAL DECOMPOSITION PROCESSES; WAVELET MULTIRESOLUTION ANALYSIS;

SIGNAL FILTERING AND PREDICTION;

EID: 0030126109     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/7.489507     Document Type: Article

References (27)

1. Anderson, C., and Van Essen, D. (1991) Processing of visual information in primate brains. NASA Tech Brief, 15 (Mar. 1991).
2. Burns, T. J. (1993) A non-homogeneous wavelet multiresolution analysis and its application to the analysis of motion. Ph.D. dissertation, School of Engineering, Air Force Institute of Technology (AU), Wright-Patterson AFB, OH, Dec. 1993.
3. Burt, P. J. (1988) Smart sensing within a pyramid vision machine. Proceedings of the IEEE, 76 (Aug. 1988), 1006-1015.
4. Chen, T., and Vaidyanathan, P. P. (1993) Recent developments in multidimensional multirate systems. IEEE Transactions on Circuits and Systems for Video Technology, 3 (Apr. 1993), 116-137.
5. Chui, C. K. (1992) Wavelets: A Tutorial in Theory and Application. San Diego: Academic Press, 1992.
6. Coifman, R. R., and Meyer, Y. (1992) Size properties of wavelet-packets. In Ruskai, et al., Wavelets and Their Applications. San Diego: Academic Press, 1992.
7. Daubechies, I. (1992) Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, Philadelphia, 1992.
8. De Valois, R. L., and Albrecht, D. G. (1985) Spatial frequency selectivity of cells in macaque visual cortex. Vision Research, 22 (1985), 545-559.
9. Dudgeon, C. E., and Mersereau, R. M. (1984) Multidimensional Digial Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1984. [10] Gafni, H., and Zeevi, Y. Y. (1979) A model for processing of movement in the visual system. Biological Cybernetics, 32 (1979), 165-173.
10. Goodman, J. (1968) Introduction to Fourier Optics. New York: McGraw-Hill, 1968.
11. Heeger, D. (1988) Optical flow using spatiotemporal filters. International Journal of Computer Vision, (1988), 279-302.
12. Hubel, D. H., and Wiesel, T. N. (1962) Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. Journal of Physiology, (1962), 106-154.
13. Le Chevalier, F., Bobillot, G., and Fugier-Garrel, C. (1978) Radar target and aspect angle identification. In Proceedings of the IEEE 1978 International Conference on Pattern Recognition, (1978), 398-400.
14. Libby, E. W. (1993) Application of sequence comparison methods to multisensor data fusion and target recognition. Master's thesis, School of Engineering, Air Force Institute of Technology (AU), Wright-Patterson AFB, OH, July 1993.
15. Mallat, S. G. (1989) Multiresolution approximation and wavelets. Transactions on American Mathematical Society, (Sept. 1989), 69-88.
16. Mallat, S. G. (1989) A theory for multi-frequency signal decomposition. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11 (July 1989), 674-693.
17. Meyer, Y. (1986) Principe d'incertitude, bases hilbertiennes et albebres d'operateurs. Seminaire Bourbaki, 662 (Oct. 1986), 209-223.
18. Naylor, A. W., and Sell, G. R. (1982) Linear Operator Theory in Engineering and Science. New York: Springer-Verlag, 1982.
19. Rioul, O., and Vetterli, M. (1991) Wavelets and signal processing. IEEE Signal Processing Magazine, (Oct. 1991), 14-38.
20. Rosenfeld, A. (Ed.) (1984) Multiresolution Image Processing and Analysis. New York: Springer-Verlag, 1984.
21. Seibert, M., and Waxman, A. M. (1992) Adaptive 3D object recognition from multiple views. IEEE Transactions on Pattern Analysis and Machine Intelligence, 14, 2 (1992), 107-124.
22. Simoncelli, E. P., and Adelson, E. H. (1990) Non-separable extensions of quadrature mirror filters to multiple dimensions. Proceedings of the IEEE, 78, 4 (1990), 652-663.
23. Taylor, A., and Lay, D. (1982) Introduction to Functional Analysis. New York: Wiley, 1982.
24. Vaidyanathan, P. P. (1993) Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
25. Vetterli, M. (1984) Multidimensional subband coding: Some theory and algorithms. Signal Processing, 6 (Feb. 1984), 97-112.
26. Vetterli, M., Kovacevic, J., and Ugall, D. J. (1990) Perfect reconstruction filter banks for hdtv representation and coding. Signal Processing: Image Communication, 2 (Oct. 1990), 349-363.
27. Vetterli, M., et al. (1992) Multiresolution coding techniques for digital television. A review. Multidimensional Systems and Signal Processing, 3 (May 1992), 161-187.