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Informatique et Mathématiques appliquées
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> Formation > Cursus ingénieur

Advanced Imaging - WMM9AM05

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  • Number of hours

    • Lectures : 18.0
    • Tutorials : -
    • Laboratory works : -
    • Projects : -
    • Internship : -
    • Written tests : -
    ECTS : 3.0
  • Officials : Sylvain MEIGNEN

Goals

In this course, we will first focus on linear methods for image denoising. In this regard, we will investigate some properties of the heat equation and of the Wiener filter. We will then introduce nonlinear partial equations such as the Perona­Malick model for noise removal, and some other similar models. A last part of the course will be devoted to edge detection for which we will consider the Canny approach and, more precisely, we will deal in details with active contours and level sets methods.

Content

-Image restoration (Wiener filter, continuous and discrete approaches)
-Edge detection (Canny's and Marr-Hildreth approaches)
-Active contours methods (continuous approach and numerical implementation)
-Anistropic diffusion equations (Perona-Malik equation, Tikhonov regularisation), image segmentation.

Prerequisites

Differential calculus (first year ENSIMAG)

Tests

One written exam at the end of the period. In case of failure, another exam in April (2nd session)

The exam is given in english only FR

Calendar

The course exists in the following branches:

  • Curriculum - Master 2 in Applied Mathematics - Semester 9 (this course is given in english only EN)
see the course schedule for 2020-2021

Additional Information

Course ID : WMM9AM05
Course language(s): FR

You can find this course among all other courses.

Bibliography

-Analyse d'images: filtrage et segmentation, édition Masson
-A wavelet tour of signal processing, academic press, S. Mallat

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Date of update January 15, 2017

Université Grenoble Alpes