Résumé en anglais

This paper proposes a new method to synthesize dynamic geometric textures from a given exemplar image. It solves the Navier Stokes equations of fluid dynamics to drive the evolution of a geometric layer and a grouplet coefficients layer. The geometric layer describes the turbulent structures of the texture while the coefficient layer lays a set of strokes along the flows. These strokes corresponds to grouplet atoms, that have a wide range of width and lengths. These grouplets atoms generate a tight frame that is adapted to represent the texture to analyze and synthesize.