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Professor Dragotti


Teaching





Wavelets and Applications 

Spring term
Lectures room 407b: 
Mondays      9:00-11:00,    


               

Material:
  • Lecture notes (available on request).
  • Matlab Mini-project.
  • Matlab m-files and dataset for matlab mini-project
  • To answer to the last question in the matlab miniproject you need to include in your working directory the two files attached here.

Exam: Please note this year the exam consists of FOUR ALL compulsory questions carrying equal marks.

Text books:

Required:
  • M. Vetterli and J. Kovacevic, Wavelets and Subband Coding, Prentice Hall, 1995 (available here).
Recommended:
  • S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, Second Edition, 1999.
  • G. Strang and T. Q. Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge Press, Revised Edition, 1998.
  • I. Daubechies, Ten Lectures on Wavelets, SIAM, 1992.
  • P. P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, 1993.
Wavelet papers
  • Wavelets: Seeing the Forest  and the Trees, Beyond Discovery, US National Academy of Science.
  • Wavelets and signal processing, by O. Rioul and M. Vetterli, IEEE Signal Processing Magazine, vol. 8, no. 4, Oct. 1991, pp. 14-38.
  • A theory for multiresolution signal decomposition : the wavelet representation, by S. Mallat, IEEE Transaction on Pattern Analysis and Machine Intelligence, vol. 11, p. 674-693, July 1989.
  • Wavelets and filter banks: theory and design, by M. Vetterli and C. Herley, IEEE Transactions on Signal Processing, vol. 40, Sep. 1992, pp. 2207-2232.
  • The wavelet transform, time-frequency localization and signal analysis, by I. Daubechies, IEEE Transactions on Information Theory,  vol. 36, Septemper 1990, pp. 961-1005.
  • Wavelets: The mathematical background, by A. Cohen and J. Kovacevic, Proc. of the IEEE, vol.84(4), April 1996, pp. 514-522.
Papers on Image Compression and Wavelets
  • Wavelets, approximation and compression, by M. Vetterli, IEEE Signal Processing Magazine, vol. 18, no. 5, Sep. 2001, pp. 59-73.
  • Mathematical properties of the JPEG2000 wavelet filters, by M. Unser and T. Blu, IEEE Trans. on Image Processing, vol. 12(9),  September 2003, pp. 1080-1090.
  • High  Performance  scalable image  compression with EBCOT,  by D.  Taubman,  IEEE  Trans.  on Image Processing,  vol.9 (7),  July 2000, pp. 1158-1170.
  • Embedded  image coding using zerotrees of wavelet coefficients, by J.M. Shapiro, IEEE Trans.  on Signal Processing, vol.41(12), 3445-3462, December 1993.










Research Areas

Wavelet theory.
Sampling theory.
Image and video processing and compression.
Image Based Rendering and Image Super-Resolution.
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