Welcome to my homepage!
A few words to introduce myself, I am Jérôme Gilles, a French
"Professeur Agrégé" in Electronics, graduated from the Ecole Normale
Supérieure of
Cachan (98's promotion) in France.
Since Fall 2010, I have been in the Department of Mathematics
here, at UCLA as an Assistant Adjunct
Professor in the Computer and Applied Mathematics group. I am also an
associate researcher of the Centre de Mathématiques et de Leurs
Applications (CMLA)
at the Ecole Normale Supérieure of Cachan (France).
Previously, I held a position as an image processing expert in the
Space, Observation, Intelligency and UAV systems Department at the
DGA, an institution of the French Ministry of Defense from 2001 to
2010.
I defended my Ph.D. in Mathematics in June 2006 (under the direction
of Prof. Yves Meyer (CMLA-ENS Cachan) and Dr. Bertrand Collin
(DGA/CEP)). More recently, in December 2012, I defended my Habilitation
à Diriger les Recherches (equivalent to the tenure in France).
My fields of interest are:
- image modeling and analysis (image decomposition into structures
+ textures + noise),
- texture analysis,
- target detection and identification, area monitoring (intrusion
detection),
- image restoration and especially the analysis and correction of
the turbulence defects in passive and active laser imagery.
From a mathematical point of view, I am interested in different fields
such as:
- functional analysis, function spaces (BV, Sobolev, Besov, ...)
- multiresolution analysis (wavelets and their geometrical
extensions like curvelets, contourlets,...),
- Partial Differential Equations.
- statistical tools,
- Gestalt theory,