Dense Vector Field Representations

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Dense Vector Field Representations
Electric field on epicardium
Viscous flow past a sphere

• Texture-based
• Interactive (GPU)
• Steady / transient flows
• Planar / curved geometries

Return current in the brain
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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
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Topology

• Asymptotic connectivity of the flow
• Compact graph representation
• Efficient computation
• Vector / tensor fields in D

Poincaré map of magnetic field in a Tokamak
Topological structure of recirculating flow in a
rotating cylinder
Shear stress over boundary of swirl motion engine
Hodge bifurcation in 2D analytic vector field
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Alternative Structure Definitions

• Address practical limitations of flow-based
  definition of topology
• transient flows (Lagrange view)
• diffusion tensors (e.g. DT-MRI)

White matter structure extracted through
crease surfaces of anisotropy (here FA) in
Brainstem
Coherent Lagrangian structures captured by
finite-time Lyapunov exponent in Boussinesq and
von Karman flows