A study on preconditioning multiwavelet systems for image compression

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2251, Issue , 2001, Pages 22-36

  Kim, Wonkoo ^a   Li, Ching Chung ^a  

^a University of Pittsburgh   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

WAVELET ANALYSIS;

COARSER RESOLUTION; COMPACT SUPPORT; COMPRESSION PERFORMANCE; FILTER COEFFICIENTS; INITIALIZATION PROBLEM; MULTIPLE CHANNELS; MULTIWAVELET SYSTEMS; WAVELET SYSTEMS;

IMAGE COMPRESSION;

EID: 84974559410     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45333-4_6     Document Type: Conference Paper

References (16)

1. Chui, C. K.: An Introduction to Wavelets. Volume 1 of Wavelet Analysis and Its Applications. Academic Press (1992) 23
2. Geronimo, J. S., Hardin, D. P., Massopust, P. R.: Fractal functions and wavelet expansions basedo n several scaling functions. Journal of Approximation Theory 78 (1994) 373–401 23
3. Donovan, G. C., Geronimo, J., Hardin, D. P.: Intertwining multiresolution analyses andt he construction of piecewise polynomial wavelets. SIAM Journal of Mathematical Analysis 27 (1996) 1791–1815 23
4. Donovan, G., Geronimo, J. S., Hardin, D. P., Massopust, P. R.: Construction of orthogonal wavelets using fractal interpolation functions. SIAM Journal of Mathematical Analysis 27 (1996) 1158–1192 23
5. Strela, V., Walden, A. T.: Orthogonal and biorthogonal multiwavelets for signal denoising and image compression. SPIE Proc. 3391 AeroSense 98, Orlando, Florida, April 1998 (1998) 24, 33
6. Selesnick, I.W.: Interpolating multiwavelet bases andt he sampling theorem. IEEE Trans. on Signal Processing 47 (1999) 1615–1621 24
7. Chui, C. K., Lian, J.: A study on orthonormal multi-wavelets. J. Appl. Numer. Math. 20 (1996) 273–298 24
8. Vaidyanathan, P. P.: Multirate Systems and Filter Banks. Prentice-Hall, New Jersey (1993) 27, 32
9. Strela, V.: Multiwavelets: Theory andA pplications. PhD thesis, Massachusetts Institute of Technology, Cambridge, Mass. (1996) 28
10. Plonka, G., Strela, V.: Construction of multiscaling functions with approximation ands ymmetry. SIAM Journal of Mathematical Analysis 29 (1998) 481–510 28
11. Xia, X. G., Geronimo, J. S., Hardin, D. P., Suter, B. W.: Design of prefilters for discrete multiwavelet transforms. IEEE Trans. on Signal Processing 44 (1996) 25–35 30
12. Xia, X. G.: A new prefilter design for discrete multiwavelet transforms. IEEE Trans. on Signal Processing 46 (1998) 1558–1570 30
13. Miller, J. T., Li, C. C.: Adaptive multiwavelet initialization. IEEE Trans. on Signal Processing 46 (1998) 3282–3291 30, 33
14. Xia, T., Jiang, Q.: Optimal multifilter banks: design, related symmetric extension transform andap plication to image compression. IEEE Trans. on Signal Processing 47 (1999) 1878–1889 33
15. Jiang, Q.: On the design of multifilter banks and orthogonal multiwavelet bases. IEEE Trans. on Signal Processing 46 (1998) 3292–3303 33
16. Strela, V., Heller, P., Strang, G., Topiwala, P., Heil, C.: The application of multiwavelet filter banks to image processing. IEEE Trans. on Image Processing 8 (1999) 548–563 33