Microlocal filtering with multiwavelets

Computers and Mathematics with Applications

Volumn 41, Issue 1-2, 2001, Pages 111-133

  Ashino, R ^a   Heil, C ^b   Nagase, M ^c   Vaillancourt, R ^d  

^a OSAKA KYOIKU UNIVERSITY   (Japan)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^c OSAKA UNIVERSITY   (Japan)

^d UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; FOURIER TRANSFORMS; FUNCTION EVALUATION; IMAGE COMPRESSION; MATRIX ALGEBRA; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY;

HOLOMORPHIC FUNCTIONS; HYPERFUNCTIONS; MICROLOCAL ANALYSIS; MICROLOCAL FILTERING; MULTIRESOLUTION ANALYSIS; MULTIWAVELETS;

WAVELET TRANSFORMS;

EID: 0035128215     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)85011-2     Document Type: Article

References (16)

1. nd Edition The World According to Wavelets: The Story of a Mathematical Technique in the Making. 1998;A K Peters, Wellesley, MA.
2. Sato M. Theory of hyperfunctions I. J. Fac. Sci. Univ. Tokyo, Sec. I. 8:(1):1959;139-193.
3. rd Edition Théorie des Distributions. 1966;Hermann, Paris.
4. Daubechies I. Ten Lectures on Wavelets. 61:1992;SIAM, Philadelphia, PA. CBMS-NSF Regional Conference Series in Applied Mathematics.
5. Strela V., Heller P.N., Strang G., Topiwala P., Heil C. The application of multiwavelet filter banks to image processing. IEEE Trans. Image Processing. 8:(4):1999;548-563.
6. Xia X.-G., Geronimo J.S., Hardin D.P., Suter B.W. Design of prefilters for discrete multiwavelet transforms. IEEE Trans. Signal Processing. 44:(1):January 1996;25-35.
7. Kaneko A. Linear Partial Differential Equations with Constant Coefficients. 1992;Iwanami, Tokyo. (In Japanese).
8. Kaneko A. Introduction to Hyperfunctions. 1998;Kluwer Academic, Dordrecht.
9. Ashino R., Nagase M., Vaillancourt R. A construction of multiwavelets. Computers Math. Applic. 32:(3):1996;23-37.
10. Daubechies I., Grossmann A., Meyer Y. Painless nonorthogonal expansions. J. Math. Phys. 27:(5):1986;1271-1283.
11. Heil C., Walnut D. Continuous and discrete wavelet transforms. SIAM Review. 31:(4):1989;628-666.
12. Hernández E., Weiss G. A First Course on Wavelets. 1996;CRC Press, Boca Raton, FL.
13. Hernández E., Wang X., Weiss G. Smoothing minimally supported frequency wavelets. Part I. J. Fourier Anal. Appl. 2:(4):1996;329-340.
14. Coifman R., Wickerhauser M.V. Entropy-based algorithms for best basis selection. IEEE Trans. Inform. Theory. 38:(2):March 1992;713-718.
15. Morimoto M. An Introduction to Sato's Hyperfunctions. 129:1993;American Mathematical Society, Providence, RI. Transl. by M. Morimoto, Translations of Mathematical Monographs.
16. Lim J.S. Two-Dimensional Signal and Image Processing. 1990;Prentice Hall P T R, Englewood Cliffs, NJ.