07 Vector Fields I

  • Vector Fields
    Intro, Applications and Examples with Vector Fields
    Sources for Flow Data
    Mathematical Description
    Characteristic Curves (Stream, Path, Streak, Time Lines)
    Topology
    Overview of Visualization Methods for Vector Fields
  • Direct Vector Field Visualization
    Intro
    Fallback to Scalar Field Visualization
    Arrow Plots
    Combination of Several Methods
    Summary
  • Geometry-based Vector Field Visualization
    Intro
    Geometry-based Methods, Difference between Steady/Unsteady
    Definition and Properties of Tangent Curves
    Computation of Tangent Curves: Overview
    Computation of Tangent Curves: Euler Methods
    Computation of Tangent Curves: Runge-Kutta 2nd Order
    Computation of Tangent Curves: Runge-Kutta 4th Order
    Adaptive Step Size, Which integrator to use, Autonomous ODE
    Ingredients for a full-blown Tangent Curve Integrator
    Seeding of Tangent Curves
    Rendering Tangent Curves
    Concepts based on Tangent Curves: Particle Tracer
    Concepts based on Tangent Curves: Stream Surfaces
    Summary

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