Plan des formes, plan des forces

Productions d'annotations par plan pour l'indexation des vidéos

The quality of the annotations in the training videos has a very important role in the quality of automatic systems for event detection in videos. This paper presents a method for the generation of shot level annotations from whole video level annotations. This method uses a filtering technique based on the visual content and on the idea that shots containing a target event are similar while sh...

Représentation géométrique des arrangements de droites du plan

Traitement d’images multivariées avec l’arbre des formes

Résumé The Tree of Shapes (ToS) is a morphological tree that provides an high-level hierarchical, self-dual and contrast invariant representation of the image suitable for many image processing tasks.When dealing with color images, one cannot use the Tree of Shapes because its definition is ill-formed on multivariate data. Common workarounds such as marginal processing, or imposing a total orde...

Étude des formes lexicographiques des fonctions booléennes simples, représentation à l'aide de l'opérateur U

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...

Phénomènes de symétrie dans des formes linéaires en polyzêtas

— We give two generalizations, in arbitrary depth, of the symmetry phenomenon used by Ball-Rivoal to prove that infinitely many values of Riemann ζ function at odd integers are irrational. These generalizations concern multiple series of hypergeometric type, which can be written as linear forms in some specific multiple zeta values. The proof makes use of the regularization procedure for multip...