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Détermination de Formes et Identification

More information on this research group is available on its homepage

Members

Scientific Coordinator
- Houssem Haddar (INRIA Saclay Ile de France) +33 1 6933 4641

Assistant of INRIA teams
- Jessica Gameiro (INRIA Saclay Ile de France) +33 1 6933 4627

Members
- Grégoire Allaire (Ecole polytechnique) +33 1 6933 4611
- Jing-Rebecca Li (INRIA Saclay Ile de France) +33 1 3963 5355
- Olivier Pantz (Ecole polytechnique) +33 1 6933 4585

Associate Members
- Laurent Bourgeois (ENSTA) +33 1 4552 4350
- Antonin Chambolle (CNRS/Ecole polytechnique) +33 1 6933 4619

PostDoc
- Kamel Riahi (INRIA Saclay Ile de France)
- Federico Benvenuto (INRIA Saclay Ile de France)
- Zixian Jiang (Ecole polytechnique)

Phd Students
- Lorenzo Audibert (Ecole polytechnique, EDF R&D)
- Thibaut Mercier (Ecole polytechnique, EDF R&D)
- Tobias Rienmüller (Ecole polytechnique/ Université de Bremen)
- Simona Schiavi (Ecole polytechnique)
- Thi Phong Nguyen (Ecole polytechnique)
- Mohamed Lakhal (Ecole polytechnique)

Main Research Interests :

The research activity of our team is dedicated to the design, analysis and implementation of efficient numerical methods to solve inverse and shape/topological optimization problems in connection with acoustics, electromagnetism, elastodynamics, and diffusion.

Sought practical applications include radar and sonar applications, bio-medical imaging techniques, non-destructive testing, structural design, composite materials, and diffusion magnetic resonance imaging.

Roughly speaking, the model problem consists in determining information on, or optimizing the geometry (topology) and the physical properties of unknown targets from given constraints or measurements, for instance, measurements of diffracted waves or induced magnetic fields.

In general this kind of problems is non-linear. The inverse ones are also severely ill-posed and therefore require special attention from regularization point of view, and non-trivial adaptations of classical optimization methods.

Our scientific research interests are three-fold :

- Theoretical understanding and analysis of the forward and inverse mathematical models, including in particular the development of simplified models for adequate asymptotic configurations.
- The design of efficient numerical optimization/inversion methods which are quick and robust with respect to noise. Special attention will be paid to algorithms capable of treating large scale problems (e.g. 3-D problems) and/or suited for real-time imaging.
- Development of prototype softwares for precise applications or tutorial toolboxes.


CMAP UMR 7641 École Polytechnique CNRS, Route de Saclay, 91128 Palaiseau Cedex France, Tél: +33 1 69 33 46 23 Fax: +33 1 69 33 46 46