Research topics

My researchs focus on imagery. I tend to develop a combinatorial and discrete approach of imagery. My goal is to provide a complete discret framework to model, analyze and represent digital images. In particular, I'm interested in the definition of a formal digital model of image, in regions segmentation by combinatorial and statistical algorithms, and in the characterization the results by topological data structures and digital geometry features.

In Digital Geometry, I studied digital topology in order to have a consistent model to work with. Now, I'm studying digital geometry features such as digital planarity or curvature.

In Image Analysis, I studied combinatorial maps as a graph structure to represent segmented image. I proposed to use Union-Find algorithms to segment images efficiently. Now, I am working on statistical merging criteria for these algorithms.

I am also partially involved in the ICAR project of the LIRMM and so interested partially in crypto-data hiding in images. I also have interests in computational complexity, computer arithmetic, cryptography, graph theory and many others in computer science and mathematics...

Keywords: Combinatorial imagery, Digital geometry, Image segmentation, Union-Find algorithm, Combinatorial maps, Digital topology