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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
    • Tutorials : -
    • Laboratory works : -
    • Projects : -
    • Internship : -
    • Written tests : -
    ECTS : 1.5
  • Officials : Valerie PERRIER

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.

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

Practical project (using MATLAB/WaveLab) .

N1=P(projet+soutenance)
N2=P

The exam is given in english only FR

Calendar

The course exists in the following branches:

  • Curriculum - Math. Modelling, Image & Simulation - Semester 9 (this course is given in english only EN)
  • Curriculum - Math. Modelling, Image & Simulation - Semester 9 (this course is given in english only EN)
  • Curriculum - Math. Modelling, Image & Simulation - Semester 9 (this course is given in english only EN)
see the course schedule for 2019-2020

Additional Information

Course ID : 5MM2531G
Course language(s): FR

The course is attached to the following structures:

You can find this course among all other courses.

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

Université Grenoble Alpes