Teaching Page
Since I was appointed as an
associate professor at the Ensimag in 2002, I have mainly taught
courses related to applied maths
and signal and image processing.
Present
courses:
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...).
- Handout of the course (in french) handout
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.
Past courses:
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.
- Handout of the course handout
- Lab sessions and sets of exercises tdtp
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.
Specialization year in
computer science :
This course was
dedicated to students who were already engineers but wanted to
specialize in computer science. My contribution was to give them
bases in numerical analysis.
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:
- Maths for Telecom science handout
- Neural Network
- Lab session in image processing folder
2A
PhD Course Pisa:
course_Pisa