Fractals//Mathematics/Vector field

Types time independent (= stationary = Steady ) or time dependent dimension: 2D, 3D, ... Algorithm start with scalar field create vector field from scalar field using vector function compute: filed lines Visualisation of vector field Plot types (Visualization Techniques for Flow Data) : Flow Visualisation from TUV arrow plot = quiver plot Glyphs = Icons or signs for visualizing vector fields simplest glyph = Line segment (hedgehog plots) Characteristic Lines Data visualisation by Tomáš Fabián 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 A Streakline Representation of Flow in Crowded Scenes from UCF texture (line integral convolution = LIC)lic by Zhanping Liu Topological skeleton Vector Field Topology in Flow Analysis and Visualization by Guoning Chen fixed point extraction ( Jacobian) References