Xavier Tricoche Dense Vector Field Representations Texture-based Interactive (GPU) Steady / transient flows Planar / curved geometries Viscous flow past a sphere Electric field on epicardium Return current in the brain

Xavier Tricoche Stream Surfaces Spanned by advected curve Visual exploration of 3D/4D flows High geometric quality of tesselation Recirculation bubbles caused by vortex breakdown Electric current induced by dipolar cardiac source in the chest Vortical structures on lee side of high-speed train

Xavier Tricoche Topology Asymptotic connectivity of the flow Compact graph representation Efficient computation Vector / tensor fields in *D Poincaré map of magnetic field in a Tokamak Hodge bifurcation in 2D analytic vector field Shear stress over boundary of swirl motion engine Topological structure of recirculating flow in a rotating cylinder

Xavier Tricoche Alternative Structure Definitions Address practical limitations of flow-based definition of topology transient flows (Lagrange view) diffusion tensors (e.g. DT-MRI) Coherent Lagrangian structures captured by finite-time Lyapunov exponent in Boussinesq and von Karman flows White matter structure extracted through crease surfaces of anisotropy (here FA) in Brainstem