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Informatique et Mathématiques appliquées
Une voie, plusieurs choix

> Formation > Cursus ingénieur

Image processing - 4MMTI6

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  • Number of hours

    • Lectures : 16.5
    • Tutorials : 4.5
    • Laboratory works : 12.0
    ECTS : 3.0

Goals

Image processing is an important growing domain, with many civilian (multimedia, medical imaging, …) and
military (satellite, embedded software,…) applications. The aim of the course is to introduce the mathematical
bases useful for image processing. Some examples of real-life applications will illustrate the theory, like in medical
imaging. The low-level (C language) programming of image processing algorithms aiming at performance will be
studied during lab-sessions that ends with a small project.

Contact Valérie PERRIER

Content

1. Image definition: analog and digital images.
2. Fourier transform of images, FFT 2D. Application of the Fourier transform to scanner imagery.
3. Digitization of images: sampling, Moire phenomenon.
2. Analog and digital image processing: continuous and discret convolutions, linear filtering. Application to some
image processing problems: denoising, edge detection.
3. Image transforms: DCT, Haar, multiresolution. Application to image compression (principle of JPEG, ..)
Image processing in C: Image mosaic



Prerequisites

Analysis for Engineers

Tests

Written exam (3 h) and a lab work in C.



N1=2/3E1+1/3P
N2=2/3E2+1/3P

Additional Information

Curriculum->Math. Modelling, Image & Simulation->Semester 8

Bibliography

  • W.K. Pratt : « Digital Image Processing », Wiley, 1991.
  • M. Kunt, G. Granlund, M. Kocher : « Traitement numérique des images », Traitement de l’information, volume 2,
    Presses polytechniques et universitaires romandes, 1993.
  • S. Mallat : « Une exploration des signaux en ondelettes », Editions de l’Ecole Polytechnique, 2000.

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Date of update January 15, 2017

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes