References

Note: The first dozen items below are general purpose references. Most of them are texts, and some of them are rather advanced.

1

John J. Benedetto and Michael Frazier (editors), Wavelets; Mathematics and Applications, CRC Press, Boca Raton FL, 1996.

2

Charles Chui, An Introduction to Wavelets, Academic Press, San Diego CA, 1992. A STANDARD, AND AS IS OFTEN THE CASE THIS ASSUMES FAMILIARITY WITH FOURIER METHODS [MULCAHY]

3

Ingrid Daubechies, Ten Lectures on Wavelets, CBMS 61, SIAM Press, Philadelphia PA, 1992. A TRUE CLASSIC -- BUT NOT FOR THE MATHEMATICALLY SQUEAMISH [MULCAHY]

4

C. Sidney Burrus, Ramesh A. Gopinath and Haitao Guo Introduction to Wavelets and Wavelet Transforms - A Primer, Prentice Hall, Englewood Cliffs NJ, 1998 A GENTLE INTRODUCTION [MULCAHY]

5

Eugenio Hernández and Guido Weiss, A First Course on Wavelets, CRC Press, Boca Raton FL, 1996.

6

Barbara Burke Hubbard, The World According To Wavelets, 2nd Edition, A.K. Peters, Wellesley MA, 1998. A REMARKABLE VOLUME - TREATS THE HISTORY OF THE FIELD AND THE SCOPE OF WAVELETS IN PRACTICE TODAY WITH MINIMAL ASSUMPTIONS OF READER'S MATHEMATICAL BACKGROUND - THE FIRST FRENCH EDITION WON THE PRIX D'ALEMBERT IN 1996 [MULCAHY]

7

Gerald Kaiser, A Friendly Guide to Wavelets, Birkhäuser, Boston MA, 1994.

8

Yves Meyer, Wavelets: Algorithms and Applications, SIAM Press, Philadelphia PA, 1993.

9

Colm Mulcahy, ``Plotting and Scheming with Wavelets,'' Mathematics Magazine, 69, 5 (December 1996) 323-343. WINNER OF MATHEMATICAL ASSOCIATION OF AMERICA CARL B. ALLENDOERFER AWARD IN 1997 FOR EXCELLENCE IN EXPOSITION. ASSUMES ONLY BASIC LINEAR ALGEBRA.

10

Mladen Victor Wickerhauser, Adapted Wavelet Analysis from Theory to Software, A.K. Peters, Wellesley MA, 1994.

11

P.P. Vaidyanathan, ``Multirate Systems and Filter Banks,'' Prentice Hall, Englewood Cliffs NJ, 1993.

12

Martin Vetterli and Jelena Kovacevic, Wavelets and Subband Coding, Prentice Hall, Englewood Cliffs NJ, 1995.

13

Gilbert Strang, ``Wavelets and dilation equations: a brief introduction,'' SIAM Reviews 31, 4 (1989), 614-627. EARLY CLASSIC INTRODUCTION TO WAVELETS -- AVAILABLE IN APPENDIX OF STRANG & NGUYEN'S BOOK [MULCAHY]

14

Gilbert Strang, ``Wavelets,'' American Scientist 82 (1994), 250-255. ANOTHER FINE INTRODUCTION TO WAVELETS -- ALSO AVAILABLE IN APPENDIX OF STRANG & NGUYEN'S BOOK [MULCAHY]

15

Gilbert Strang and Truong Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge Press, Wellesley MA, 1996. [MULCAHY]

16

H. S. Malvar, Signal Processing with Lapped Transforms, Artech House, Norwood MA, 1992

17

Christopher M. Brislawn, ``Fingerprints go digital,'' AMS Notices 42 (1995), 1278-1283.

18

Ron DeVore, Björn Jawerth and Bradley Lucier, ``Image compression through wavelet transform coding,'' IEEE Trans. Information Theory 38, 2 (1992), 719-746.

19

Björn Jawerth and Wim Sweldens, ``An overview of wavelet based multiresolution analyses,'' SIAM Reviews 36, 3 (1994), 377-412.

20

Björn Jawerth, Mike Hilton, Ayan Sengupta, ``Compressing Still and Moving Images with Wavelets,'' Multimedia Systems 2 (1994), 218-277.

21

J.M. Shapiro, "Embedded Image Coding Using Zerotrees of Wavelet Coefficients," IEEE Trans Signal Processing 41 12 (1993), 3445-3462.

22

Farid Dowla, ``Neural Networks in Seismic Discrimination,'' in Monitoring a CTBT, Edited by E. S. Husybye and A. M. Dainty, NATO ASI Series, Vol. 303, 1996.

23

Kanwaldip Anant and Farid Dowla, ``Vector Quantization of ECG Wavelet Coefficients,'' Signal Processing Letters, July 1995, 1-4.

24

Dowla, Skokowski and Leach, ``Neural Networks and Wavelet Analysis in the Computer Interpretation of Pulse Oximetry Data,'' Proceedings IEEE Workshop on Neural Networks and Signal Processing, Kyoto, Japan, 1996.

25

Kanwaldip Anant and Farid Dowla, ``Wavelet Transform Methods for Phase Identification in Three Component Seismograms,'' Bulletin of the Seismological Society of America, December 1997.

26

M. Akay (editor), Time-Frequency Methods in the Engineering and Biological Sciences, IEEE Press, New York, 1997.

27

Akram Aldroubi and Michael Unser (editors), Wavelets in Medicine and Biology, CRC Press, Boca Raton FL, 1996.

28

D.M. Healy Jr., J. Lu, J.B. Weaver, ``Two Applications of Wavelets and Related Techniques in Medical Imaging,'' Annals of Biomedical Engineering, Vol. 23, No.5 (1995), 637-665.

29

D.M. Healy Jr., T. Olson, J.B. Weaver, ``Reduced Motion Artifacts in Medical Imaging by Adaptive Spatio-Temporal Reconstruction,'' Numerical Algorithms 9 (1995), 55-84.

30

John Weaver, Dennis Healy, Yansun Xu, and James Driscoll, ``Wavelet Encoding in MR Imaging," Magnetic Resonance in Medicine Vol. 24, No. 2 (1992), 275-287.

31

Andrew S. Glassner, Principles of Digital Image Synthesis, Morgan Kaufmann, San Francisco CA, 1995.

32

Eric Stollnitz, Tony DeRose and David Salesin, Wavelets for Computer Graphics, Morgan Kaufmann, San Francisco CA, 1996.

33

Adam Finkelstein and David H. Salesin. ``Multiresolution curves'', Proceedings of SIGGRAPH 94, in Computer Graphics Proceedings, Annual Conference Series, 261-268 (July 1994), ACM, New York.

34

Charles E. Jacobs, Adam Finkelstein and David H. Salesin. ``Fast Multiresolution image querying'', Proceedings of SIGGRAPH 95, in Computer Graphics Proceedings, Annual Conference Series, 277-86 (August 1995), ACM, New York.

35

Proceedings of SIGGRAPH 96, in Computer Graphics Proceedings, Annual Conference Series (August 1996), ACM, New York.

36

Proceedings of SIGGRAPH 97, in Computer Graphics Proceedings, Annual Conference Series (August 1997), ACM, New York.