Number of hours
- Lectures 18.0
- Projects -
- Tutorials -
- Internship -
- Laboratory works -
- Written tests -
ECTS
ECTS 3.0
Goal(s)
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.
Responsible(s)
Sylvain MEIGNEN
Content(s)
-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.
Differential calculus (first year ENSIMAG)
Test
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 
Calendar
The course exists in the following branches:
- Curriculum - Master 2 in Applied Mathematics - Semester 9 (this course is given in english only
)
Additional Information
Course ID : WMM9AM05
Course language(s):
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