Fractals//Mathematics/Vector field
< Fractals
Types
[edit | edit source]- time independent (= stationary = Steady ) or time dependent
- dimension: 2D, 3D, ...
Algorithm
[edit | edit source]- start with scalar field
- create vector field from scalar field using vector function
- compute:
- filed lines
Visualisation of vector field
[edit | edit source]Plot types (Visualization Techniques for Flow Data) : [1]
- arrow plot = quiver plot
- Glyphs = Icons or signs for visualizing vector fields
- simplest glyph = Line segment (hedgehog plots)
- Characteristic Lines [2]
- streamlines = curve everywhere tangential to the instantaneous vector (velocity) field (time independent vector field)
- Path lines = Extensions of stream lines for time-varying data. Trace of a single particle in continuous time
- streak lines [3]
- texture (line integral convolution = LIC)[4]
- Topological skeleton [5]
- fixed point extraction ( Jacobian)