Teaching Page

Functional analysis: from continuous to discrete setting (second year Ensimag) :
In this course we first recall some basic notions regarding Hilbert spaces, and then introduce the theory of distributions and then the Fourier transform of distributions.  The connection with sampling is carried out by introducing Poisson formula and then Shannon Theorem. The next chapter is  devoted to the practical study of filters (Z transforms, etc...).

Signal and image processing (Master 1 Applied Maths) :
In this course we first make a introduction to Hilbert spaces and then to the distribution theory, and then of the Fourier transform of distributions. The connection with sampling is carried out by introducing Poisson formula and then Shannon Theorem. The next chapter is  devoted to the practical study of filters (Z transforms, etc...).  Many lab sessions are proposed throughout the semester.

Variational methods image processing (Master 2 Applied Maths and third year Ensimag) :
The goal of this course is first to recall the basics of differential calculus. A second chapter is devoted to Image restoration, using either Wiener filtering or partial differential equations. Anisotropic diffusion is also introduced, mean curvature techniques, and minimization approaches. A last chapter is devoted to edge detection.

Internship for first year students (first year Ensimag) : To compensate for the different maths levels of the student entering the Ensimag an internship is proposed at the beginning of the academic
year. The goal is here to make the students more familiar with some basic notions that are used further in the first year mathematical analysis course.

Teaching maths to apprentices (first year Ensimag) : At Ensimag, some students are doing an apprenticeship while studying. They are working part time in a firm and are  at the university the rest of the time. I am now in charge of teaching them basic maths. 

Advanced image processing (third year Ensimag) : The goal is here to deal with modern image processing techniques among which edge and ridge detection, scale-space theory, active contour technique, level sets, and anisotropic diffusion. The course is taught in English as part of the international MSIAM master.   

Mathematical analysis for engineers (first year Ensimag) :  The aim of this course was to provide the students with some basic elements in measure theory, integration, Fourier transform and the theory of distributions. Theoretical aspects are illustrated through  lab sessions and  sets of exercises.

 Applied mathematical analysis (first year Ensimag) :  The aim of this course is to introduce normed vector space in infinite dimension (Banach and Hilbert spaces), we then tackle the notions of differentiability and of projection on subsets in such spaces.

Other courses : I was also in charge of numerical analysis courses for students of the "cours préparatoires polytechniques" and I also taught this topic to the students of PAGORA, an engineering school of the Grenoble-INP group) .  I also have had the opportunity to teach the following topics: