xavier tricoche dense vector field representations texture-based interactive (gpu) steady /...

Xavier Tricoche

Dense Vector Field Representations

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• 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 boundaryof swirl motion engine

Topologicalstructure of recirculatingflow 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 structureextracted through crease

surfaces of anisotropy(here FA) in Brainstem