This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# ListStreamDensityPlot

 ListStreamDensityPlot[array] generates a stream density plot from a 2D array of vector and scalar field values . ListStreamDensityPlotgenerates a stream density plot from vector and scalar field values given at specified points . ListStreamDensityPlotplots data for several vector and scalar fields.
• ListStreamDensityPlot generates a stream plot of the vector field, superimposed on a background density plot of the scalar field.
• If no scalar field values are given, they are taken to be the norm of the vector field.
• ListStreamDensityPlot plots streamlines that show the local direction of the vector field at every point.
• ListStreamDensityPlot[array] arranges successive rows of array up the page and successive columns across.
• ListStreamDensityPlot by default interpolates the data given and shows enough streamlines to achieve a roughly uniform density throughout the plot.
 AspectRatio 1 ratio of height to width BoundaryStyle None how to draw RegionFunction boundaries BoxRatios Automatic effective 3D box ratios for simulated lighting ColorFunction Automatic how to color background densities ColorFunctionScaling True whether to scale arguments to ColorFunction DataRange Automatic the range of x and y values to assume for data EvaluationMonitor None expression to evaluate at every function evaluation Frame True whether to draw a frame around the plot FrameTicks Automatic frame tick marks LightingAngle None effective angle for simulated lighting MaxRecursion Automatic the maximum number of recursive subdivisions allowed for the scalar field Mesh None how many mesh lines to draw in the background MeshFunctions {#5&} how to determine the placement of mesh lines MeshShading None how to shade regions between mesh lines MeshStyle Automatic the style of mesh lines Method Automatic methods to use for the plot PerformanceGoal \$PerformanceGoal aspects of performance to try to optimize PlotRange {Full,Full} range of x, y values to include PlotRangePadding Automatic how much to pad the range of values RegionFunction True& determine what region to include StreamColorFunction None how to color streamlines StreamColorFunctionScaling True whether to scale the argument to StreamColorFunction StreamPoints Automatic determine number, placement, and closeness of streamlines StreamScale Automatic determine sizes and segmenting of individual streamlines StreamStyle Automatic how to draw streamlines WorkingPrecision MachinePrecision precision to use in internal computations
• The default setting MeshFunctions draws mesh lines for the scalar field s.
Plot streamlines and background computed from the interpolation of a specified set of vectors:
Plot the streamlines and background from data specifying coordinates and vectors:
Plot streamlines and background computed from the interpolation of a specified set of vectors:
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Plot the streamlines and background from data specifying coordinates and vectors:
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 Scope   (22)
Plot streamlines for a regular collection of vectors and give a data range for the domain:
Plot streamlines for an irregular collection of vectors:
Use an explicit scalar field on an irregular collection of vectors:
Plot streamlines for two vector fields with the background based on the norm of the first:
Combine multiple vector fields:
Plot a vector field with streamlines placed with specified densities:
Plot the streamlines that go through a set of seed points:
Use both automatic and explicit seeding with styles for explicitly seeded streamlines:
Plot streamlines over a specified region:
Use a specific number of mesh lines:
Specify specific mesh lines:
Give a data range for the domain:
Use a different set of colors for the scalar field:
Specify different dashings and arrowheads by settings to StreamScale:
Plot the streamlines with arrows colored according to the magnitude of the field:
Apply a variety of streamline styles:
Style streamlines for multiple vector fields:
Plot vectors and streamlines together:
Specify mesh lines with different styles:
Specify global mesh line styles:
Apply a variety of styles to region boundaries:
 Options   (112)
By default, the aspect ratio is 1:
Set the aspect ratio:
Use colored backgrounds:
By default, region boundaries have no style:
Apply a variety of styles to region boundaries:
Color the field magnitude using Hue:
Use any named color gradient from ColorData:
Use ColorData for predefined color gradients:
Specify a color function that blends two colors by the coordinate:
Use ColorFunctionScaling->False to get unscaled values:
By default, scaled values are used:
Use ColorFunctionScaling->False to get unscaled values:
Use unscaled coordinates in the direction and scaled coordinates in the direction:
Explicitly specify the scaling for each color function argument:
By default, the data range is taken to be the index range of the data array:
Specify the data range for the domain:
Count the number of times the vector field function is evaluated:
Label the axes:
Refine the plot where it changes quickly:
By default, no mesh lines are displayed:
Show the final sampling mesh:
Use a specific number of mesh lines:
Specify mesh lines:
Use different styles for different mesh lines:
By default, mesh lines correspond to the magnitude of the field:
Use the value as the mesh function:
Use mesh lines corresponding to fixed distances from the origin:
Use None to remove regions:
Styles are used cyclically:
Use indexed colors from ColorData cyclically:
Apply a variety of styles to the mesh lines:
Generate a higher-quality plot:
Emphasize performance, possibly at the cost of quality:
The full plot range is used by default:
Specify an explicit limit for both and ranges:
Specify an explicit range that applies to both and ranges:
Specify an explicit range:
Specify an explicit minimum range:
Specify an explicit range:
Specify an explicit maximum range:
Specify different and ranges:
Plot vectors only over certain quadrants:
Plot vectors only over regions where the field magnitude is above a given threshold:
Use any logical combination of conditions:
Color streamlines according to the norm of the vector field:
Use any named color gradient from ColorData:
Use ColorData for predefined color gradients:
Specify a color function that blends two colors by the coordinate:
Use StreamColorFunctionScaling->False to get unscaled values:
By default, scaled values are used:
Use StreamColorFunctionScaling->False to get unscaled values:
Use unscaled coordinates in the direction and scaled coordinates in the direction:
Explicitly specify the scaling for each color function argument:
Specify a maximum number of streamlines:
Use symbolic names to specify the number of streamlines:
Use both automatic and explicit seeding with styles for explicitly seeded streamlines:
Specify the minimum distance between streamlines:
Specify the minimum distance between streamlines at the start and end of a streamline:
Control the maximum length that each streamline can have:
Create full streamlines without segmentation:
Use curves for streamlines:
Use symbolic names to control the lengths of streamlines:
Specify segment lengths:
Specify an explicit dashing pattern for streamlines:
Specify number of points rendered on each streamline segment:
Specify absolute aspect ratios relative to the longest line segment:
Specify relative aspect ratios relative to each line segment:
Scale the length of the arrows by the coordinate:
Apply a variety of styles to the streamlines:
Set the style for multiple vector fields:
Use named styles:
Named arrow styles:
Named dot styles:
Named pointer styles:
Named dart styles:
Color the vectors according to their norms:
Use any named color gradient from ColorData:
Color the vectors according to their values:
Use VectorColorFunctionScaling->False to get unscaled values:
By default, scaled values are used:
Use VectorColorFunctionScaling->False to get unscaled values:
Use unscaled coordinates in the direction and scaled coordinates in the direction:
Explicitly specify the scaling for each color function argument:
Use automatically determined vector points:
Show all of the specified field vectors:
Use symbolic names to specify the set of field vectors:
Create a regular grid of field vectors with the same number of arrows for and :
Create a regular grid of field vectors with a different number of arrows for and :
Specify a list of points for showing field vectors:
Use a different number of field vectors on a regular grid:
The location for vectors is given in the middle of the drawn vector:
Use an automatically determined vector scale:
Specify the relative size of vectors as a fraction of the diagonal of the plot range:
Use symbolic names to control the size of vectors:
With the vector scaling function set to None, all vectors have the same size:
Specify an absolute size for the arrowheads:
Specify arrowhead size relative to the length of the arrow:
Scale the vector length by the absolute value of the coordinate:
By default, the vector length is scaled by the norm of the vector field:
Set the style for the displayed vectors:
Set the style for multiple vector fields:
Plot the vector fields without arrowheads:
Plot the vector field with a named vector style:
Arrow vector styles:
Circular vector styles:
Dart vector styles:
Vector styles with dots:
Pointer vector styles:
Specify both arrow tail and head:
Graphics primitives without Arrowheads are scaled based on the vector scale:
Change the scaling using the VectorScale option:
 Applications   (3)
Characterize linear planar systems interactively:
Visualize the first horizontal and vertical Gaussian derivatives of an image:
Combine the vertical and horizontal Gaussian derivatives:
Compute wind velocity from given coordinates:
Filter unavailable data:
Outline of the United States:
Wind velocity and pressure over the United States:
Use StreamDensityPlot to plot functions with a density plot of the scalar field:
Use ListStreamPlot for plotting data without a density plot:
Use ListVectorDensityPlot to plot with vectors instead of streamlines:
Use StreamPlot for plotting functions without a density plot of the scalar field:
Use ListVectorPlot3D to visualize 3D vector field data:
ListStreamDensityPlot samples more points where it needs to:
Use ListLineIntegralConvolutionPlot to plot the line integral convolution of vector field data:
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