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