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Built-in Mathematica Symbol

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StreamColorFunction

StreamColorFunction
is an option for StreamPlot and related functions which specifies a function to apply to determine colors along streamlines.

MORE INFORMATION

The setting for StreamColorFunction is applied at each point along each streamline to determine the color to use to render the streamline.

With the setting StreamColorFunction->func, the arguments supplied to func are as follows:

	VectorPlot,ListVectorPlot,StreamPlot,ListStreamPlot,LineIntegralConvolutionPlot,ListLineIntegralConvolutionPlot	x,y,v_x,v_y,Norm[{v_x, v_y}]
	VectorDensityPlot,ListVectorDensityPlot,StreamDensityPlot,ListStreamDensityPlot	x,y,v_x,v_y,s
	VectorPlot3D,ListVectorPlot3D	x,y,z,v_x,v_y,v_z,Norm[{v_x, v_y, v_z}]

With the usual default setting StreamColorFunctionScaling->True, the arguments supplied to func are scaled to lie in the range 0 to 1.

With StreamColorFunctionScaling->False original unscaled values are used.

StreamColorFunction->"name" is equivalent to StreamColorFunction->(ColorData["name"][#i]&) where the slot used is as follows: StreamPlot, ListStreamPlot, etc.: #5 (Norm[{v_x, v_y}]), StreamDensityPlot, ListStreamDensityPlot etc.: #5 (s), VectorPlot3D and ListVectorPlot3D: #7 (Norm[{v_x, v_y, v_z}]).

The list of possible color function names is given by ColorData["Gradients"].

The function specified by StreamColorFunction must return color directives such as RGBColor and Hue or named colors such as Red and Blue.

It can also return Opacity, as well as Glow and Specularity.

Combinations of directives can be specified using Directive[g₁, g₂, ...].

Basic Examples (2)

Color streamlines according to the norm of the vector field:

Use any color gradient from ColorData:

Color streamlines according to the norm of the vector field:

Use any color gradient from ColorData:

Applications (1)

Define a one-dimensional color function:

Properties & Relations (1)

Use predefined color gradients from ColorData:

StreamColorFunctionScaling VectorColorFunction ColorFunction MeshShading PlotStyle NormalsFunction Blend ColorData

Density and Contour Plots

Summary of New Features in 7.0

Vector Visualization

New in 7.0: Alphabetical Listing

Demonstrations with StreamColorFunction (Wolfram Demonstrations Project)

New in 7

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