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Informatique et Mathématiques appliquées
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> Formation > Cursus ingénieur

Wavelets and applications - 5MM2531G

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  • Number of hours

    • Lectures : 18.0
    ECTS : 1.5

Goals

Wavelets are functions which are currently used in many fields : signal and image processing, numerical schemes for partial differential equations, scientific visualization.
The aim of the course is the construction and the study of the different wavelet bases, their applications to image processing : compression (JPEG2000 format) denoising, and watermarking.
Some practical works are devoted to applications in image processing, in order to prepare for the final project.

Contact Valérie PERRIER

Content

1) From Fourier to wavelets : the continuous wavelet transform, time-frequency representation.
2) Construction of wavelet bases : multiresolution analyses, fast algorithms (FWT), compactly supported wavelets.
3) Applications to image processing : edge detection, compression, denoising, watermarking.



Prerequisites
  • Hilbert bases, Fourier transform (Applied Analysis)
    - Image Processing

Tests

Semester 9 - The exam is given in english only 

Practical project (using MATLAB/WaveLab) .



N1=P(projet+soutenance)
N2=P

Additional Information

Semester 9 - This course is given in english only EN

Curriculum->Math. Modelling, Image & Simulation->Semester 9

Bibliography

S. MALLAT, A wavelet tour of signal processing, Academic Press, 1999.
Wavelet and Statistics, A. Antoniadis and G. Oppenheim eds, Springer, 1995.
B. TORRESANI, Analyse continue par ondelettes, Savoirs actuels - interéditions/CNRS éditions, 1995.

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Date of update January 15, 2017

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes