Adaptive multiwavelet initialization

IEEE Transactions on Signal Processing

Volumn 46, Issue 12, 1998, Pages 3282-3291

  Miller, James T ^a   Li, Ching Chung ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION; DATA COMPRESSION; LOW PASS FILTERS;

SCALING FUNCTIONS;

WAVELET TRANSFORMS;

EID: 0032290682     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.735303     Document Type: Article

References (12)

1. D. L. Donoho, "De-noising by soft-thresholding," IEEE Trans. Inform. Theory, vol. 41, pp. 613-627, May 1995.
2. J. S. Geronimo, D. P. Hardin, and P. R. Massopust, "Fractal functions and wavelet expansions based on several scaling functions," J. Approx. Theory, vol. 78, pp. 373-401, 1994.
3. B. Girod, R. Härtung, and U. Horn, Design and Application of Subband and Wavelets. Boston, MA: Kluwer, 1995.
4. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1989.
5. S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell, vol. 11, pp. 674-693, 1989.
6. J. T. Miller, "Adaptive multiwavelet initialization," Ph.D. dissertation, Dept. Elect. Eng., Univ. Pittsburgh, Pittsburgh, PA, 1996.
7. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1984.
8. M. Rabbani and P. W. Jones, Digital Image Compression Techniques. New York: SPIE, 1991.
9. G. Strang and V. Strela, "Short wavelets and matrix dilation equations," IEEE Trans. Signal Processing, vol. 43, pp. 108-115, Jan. 1995.
10. V. Strela, P. N. Heller, G. Strang, P. Topiwala, and C. Heil, "The application of multiwavelet filter banks to image processing," IEEE Trans. Image Processing, to be published.
11. X. G. Xia, J. S. Geronimo, D. P. Hardin, and B. W. Suter, "Design of prefilters for discrete multiwavelet transforms," IEEE Trans. Signal Processing, vol. 44, pp. 25-35, Jan. 1996.
12. M. J. Vrhel and A. Aldroubi, "Projection based pre-filtering for initializing multi-wavelet algorithms," in Proc. SPIE, Wavelet Appl. Signal Image Process. V, San Diego, CA, July 1997, vol. 3169, pp. 432-437.