Programme of the Master of Science in Engineering MISPA – Imaging, Geometry, and AI

An excellent program in mathematical imaging, advanced shape processing, and geometric modeling

The Master of Science in Engineering MISPA offers a full year of advanced courses in mathematical imaging, shape processing, geometric modeling, and spatial analysis.
The program is entirely taught in English and combines theoretical instruction, practical work, a research project, and a long internship.

Educational Objectives

Upon completion of the Master of Science in Engineering, students develop in-depth skills to:

mathematically model images, geometric data, or complex patterns;
design and analyze processing and segmentation algorithms;
handle advanced tools: optimization, functional analysis, differential geometry, shape statistics;
implement modern computational approaches;
conduct a structured research project leading to an internship in a laboratory or company.

This program constitutes an ideal preparation for a doctorate, but also opens doors to demanding technical positions in R&D.

Programme Structure

Second year of the national Master of Science in Engineering OIVM diploma — Optics, Image, Vision, Multimedia.
Duration: 1 year — 60 ECTS.

The programme is structured around an intensive semester of theoretical modules followed by research work and a long internship.

Period	Component	Description
October – January	Theoretical Modules	Lectures and intensive practical sessions.
February – March	Supervised Laboratory Project	Practical and theoretical research work with a literature review.
April – September	Research Internship (6 months)	R&D internship in a company or research laboratory.
September	Thesis Defense

Programme Structure

The courses are structured into 4 main theoretical modules, complemented by tutorials, practical work, and a supervised project.

Mathematical Image Modeling & Analysis

Mathematical Foundations of Imaging
Variational Models and PDEs for Imaging
Advanced Denoising, Segmentation, Restoration Techniques
Fundamentals of Scientific Computing Applied to Imaging

Color & Multispectral Image Processing

Perceptual Modeling and Colorimetry
Color and Multispectral Image Processing
Industrial, Biomedical, and Environmental Applications

Advanced Mathematical Imaging

Advanced Numerical Optimization
Statistical Learning Applied to Spatial Patterns
Mathematical Morphology
3D Reconstruction and Geometric Interpretation

Geometry for Spatial Pattern Modeling & Analysis

Differential Geometry
Shape and Pattern Analysis
Modeling of Complex Objects
Applications to Networks, Textures, Materials, Geosciences…

Laboratory Project (February – March)

Supervised by a faculty researcher, it includes:

a literature review on a research topic;
a theoretical and practical work (prototyping, simulation, proof of concept);
the writing of a scientific report;
an intermediate defense.

This project constitutes a first immersion into applied research in mathematical imaging.

Research Internship (6 months)

To be carried out:

in an academic laboratory (in France or internationally), or
in a company’s R&D center.

It allows working on topics such as:

segmentation of medical, satellite, or scientific images;
modeling of complex shapes (materials, biology, geosciences…);
statistical analysis of spatial structures;
color and hyperspectral imaging;
machine learning applied to geometric patterns.

The internship results in a scientific thesis and a defense in September.

📌 In summary

The Master of Science in Engineering MISPA is a mathematically demanding, scientifically recognized, and strongly research-oriented program, building a rare and highly sought-after profile in: