BUILT-IN MATHEMATICA SYMBOL

LineIntegralConvolutionPlot

generates a line integral convolution plot of image convolved with the vector field

as a function of x and y.

generates a line integral convolution plot of white noise with the vector field

.

MORE INFORMATION

LineIntegralConvolutionPlot creates a rasterized version of image, then does a line integral convolution of each pixel according to the field defined by the vector function .

LineIntegralConvolutionPlot has the same options as Graphics, with the following additions and changes:

AspectRatio	1	ratio of height to width
BoxRatios	Automatic	effective 3D box ratios for simulated lighting
ColorFunction	Automatic	how to color background densities
ColorFunctionScaling	True	whether to scale arguments to ColorFunction
EvaluationMonitor	None	expression to evaluate at every function evaluation
LineIntegralConvolutionScale	Automatic	length of convolution along streamlines
Frame	True	whether to draw a frame around the plot
FrameTicks	Automatic	frame tick marks
LightingAngle	None	effective angle for simulated lighting
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
RasterSize	Automatic	the pixel width of the rasterized image
WorkingPrecision	MachinePrecision	precision to use in internal computations

If image is not specified, or is not already rasterized, a raster is created with a size specified by the RasterSize option.

With a setting other than LightingAngle->None, simulated lighting is used, with the height at each point being taken to be determined from the norm of the vector field.

The arguments supplied to ColorFunction are x, y, , , Norm.

EXAMPLES

CLOSE ALL

Basic Examples (2)

Plot the line integral convolution for a vector field starting with a random background:

Use an imported image:

Plot the line integral convolution for a vector field starting with a random background:

In[1]:=

In[2]:=

Use an imported image:

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Scope (11)

Transform an image by a line integral convolution:

Use an image directly as input:

Use an image created from a sparse matrix:

Use a white noise background image with different levels of color quantization:

Plot a field image, increasing the line integral convolution length:

Plot a field image and overlaid streamlines:

Plot a field image and overlaid field vectors:

Plot a field image and overlaid vectors at random positions:

Color the field magnitude:

Specify a color function that blends two colors by the

coordinate:

Fix the lighting angle at 0 (right of the plot), and vary the altitude from 0 to

:

Options (45)

By default, the aspect ratio is 1:

Set the aspect ratio:

Use colored backgrounds:

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:

Count the number of times the vector field function is evaluated:

Toggle the frame around the plot:

Label the axes:

Place frame tick marks and labels automatically:

Put a frame, but no ticks:

Place frame ticks and labels on all the edges:

Place frame ticks on the right and top edges:

Place frame tick marks at the specified positions:

Draw frame ticks at the specified positions with the specific labels:

Specify the style of each frame tick:

Specify overall frame ticks style, including frame tick labels, using FrameTicksStyle:

Vary the lighting angle from 0 (right of the plot) to

(top of the plot):

Fix the lighting angle at 0 (right of the plot), and vary the altitude from 0 to

:

An automatic scale is used by default:

Use a specific scale:

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:

Padding is computed automatically by default:

Specify no padding for all

,

, and

ranges:

Specify an explicit padding for all

,

, and

ranges:

Add 10% padding to all

,

, and

ranges:

Specify different padding for

and

ranges:

Specify padding for the

range:

By default an automatic raster size is used:

Set a specific raster size:

Applications (5)

Use a line integral convolution plot as a background for an interactive demo:

Display characteristics of several different types of linear planar systems:

Show the local direction of the gradient of a function along with its level curves:

Use the image as a background for investigating different unconstrained optimization methods:

Apply to a texture from ExampleData:

Apply to rasterized text:

Properties & Relations (4)

Use ListLineIntegralConvolutionPlot to plot data:

Other alternatives for visualizing vector field functions:

Other alternatives for visualizing vector field data:

Use VectorPlot3D to visualize 3D vector fields:

Neat Examples (1)

Algorithmic texture generation: