Images, sampling and frequency domain processing - Feature Extraction and Image Processing - page 65

2.9 Further reading

For further study (and entertaining study too!) of the Fourier transform, try The Fourier
Transform and its Applications by R. N. Bracewell (Bracewell, 1986). A number of the
standard image processing texts include much coverage of transform calculus, such as Jain
(Jain, 1989), Gonzalez and Wintz (Gonzalez, 1987), and Pratt (Pratt, 1992). For more
coverage of the DCT try Jain (Jain, 1989); for an excellent coverage of the Walsh transform
try Beauchamp's superb text (Beauchamp, 1975). For wavelets, try the new book by
Wornell that introduces wavelets from a signal processing standpoint (Wornell, 1996). For
general signal processing theory there are introductory texts (see, for example, Meade and
Dillon (Meade, 1986), or Bob Damper's book (Damper, 1995), for more complete coverage
try Rabiner and Gold (Rabiner, 1975) or Oppenheim and Schafer (Oppenheim, 1996) (as
mentioned earlier). Finally , on the implementation side of the FFT (and for many other
signal processing algorithms) Numerical Recipes in C (Press, 1992) is an excellent book.
It is extremely readable, full of practical detail - well worth a look. Numerical Recipes is
on the web too, together with other signal processing sites, as listed in Table 1.4 .

2.10 References

Ahmed, N., Natarajan, T. and Rao, K. R., Discrete Cosine Transform, IEEE Trans. on
Computers , pp. 90-93, 1974
Banham, M. R. and Katsaggelos, K., Spatially Adaptive Wavelet-Based Multiscale Image
Restoration, IEEE Trans. on Image Processing , 5 (4), pp. 619-634, 1996
Beauchamp, K. G., Walsh Functions and Their Applications , Academic Press, London UK,
1975
Bracewell, R. N., The Fast Hartley Transform, Proc. IEEE , 72 (8), pp. 1010-1018, 1984
Bracewell, R. N., The Discrete Hartley Transform, J. Opt. Soc. Am. , 73 (12), pp. 1832-
1835, 1984
Bracewell, R. N., The Fourier Transform and its Applications, Revised 2nd Edition, McGraw-
Hill Book Co., Singapore, 1986
Clarke, R. J., Transform Coding of Images , Addison Wesley, Reading, MA USA, 1985
Damper, R. I., Introduction to Discrete-Time Signals and Systems , Chapman and Hall,
London UK, 1995
da Silva, E. A. B. and Ghanbari, M., On the Performance of Linear Phase Wavelet Transforms
in Low Bit-Rate Image Coding, IEEE Trans. on Image Processing , 5 (5), pp. 689-704,
1996
Daubechies, I., The Wavelet Transform, Time Frequency Localisation and Signal Analysis,
IEEE Trans. on Information Theory , 36 (5), pp. 961-1004, 1990
Daugman, J. G., Complete Discrete 2D Gabor Transforms by Neural Networks for Image
Analysis and Compression, IEEE Trans. on Acoustics, Speech and Signal Processing ,
36 (7), pp. 1169-1179, 1988
Daugman, J. G., High Confidence Visual Recognition of Persons by a Test of Statistical
Independence, IEEE Trans. on PAMI , 15 (11), pp. 1148-1161, 1993
Donoho, D. L., Denoising by Soft Thresholding, IEEE Trans. on Information Theory ,
41 (3), pp. 613-627, 1995
Gonzalez, R. C. and Wintz P.: Digital Image Processing , 2nd Edition, Addison Wesley
Publishing Co. Inc., Reading, MA USA, 1987