ListLineIntegralConvolutionPlot
ListLineIntegralConvolutionPlot[{array,image}]
generates a line integral convolution plot of image convolved with the vector field defined by an array of vector field values.
ListLineIntegralConvolutionPlot[array]
generates a line integral convolution plot of white noise convolved with the vector field defined by array.
ListLineIntegralConvolutionPlot[{{{{x1,y1},{vx1,vy1}},…},image}]
generates a line integral convolution plot of image convolved with the vector field defined by vectors {vxi,vyi} at specified points {xi,yi}.
ListLineIntegralConvolutionPlot[{{{x1,y1},{vx1,vy1}},…}]
generates a line integral convolution plot of white noise convolved with the vector field defined by {vxi,vyi}.
Details and Options
![](Files/ListLineIntegralConvolutionPlot.en/details_1.png)
![](Files/ListLineIntegralConvolutionPlot.en/details_2.png)
- LineIntegralConvolutionPlot creates a rasterized version of image, then does a line integral convolution of each pixel according to the field defined by interpolating the vector data given.
- ListLineIntegralConvolutionPlot has the same options as Graphics, with the following additions and changes: [List of all options]
-
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 DataRange Automatic the range of x and y values to assume for data 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 PlotLegends None legends for the plot PlotRange {Full,Full} range of x, y values to include PlotRangePadding Automatic how much to pad the range of values PlotTheme $PlotTheme overall theme for the plot 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, vx, vy, Norm[{vx,vy}].
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AlignmentPoint Center the default point in the graphic to align with AspectRatio 1 ratio of height to width Axes False whether to draw axes AxesLabel None axes labels AxesOrigin Automatic where axes should cross AxesStyle {} style specifications for the axes Background None background color for the plot BaselinePosition Automatic how to align with a surrounding text baseline BaseStyle {} base style specifications for the graphic BoxRatios Automatic effective 3D box ratios for simulated lighting ColorFunction Automatic how to color background densities ColorFunctionScaling True whether to scale arguments to ColorFunction ContentSelectable Automatic whether to allow contents to be selected CoordinatesToolOptions Automatic detailed behavior of the coordinates tool DataRange Automatic the range of x and y values to assume for data Epilog {} primitives rendered after the main plot EvaluationMonitor None expression to evaluate at every function evaluation FormatType TraditionalForm the default format type for text Frame True whether to draw a frame around the plot FrameLabel None frame labels FrameStyle {} style specifications for the frame FrameTicks Automatic frame tick marks FrameTicksStyle {} style specifications for frame ticks GridLines None grid lines to draw GridLinesStyle {} style specifications for grid lines ImageMargins 0. the margins to leave around the graphic ImagePadding All what extra padding to allow for labels etc. ImageSize Automatic the absolute size at which to render the graphic LabelStyle {} style specifications for labels LightingAngle None effective angle for simulated lighting LineIntegralConvolutionScale Automatic length of convolution along streamlines Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLabel None an overall label for the plot PlotLegends None legends for the plot PlotRange {Full,Full} range of x, y values to include PlotRangeClipping False whether to clip at the plot range PlotRangePadding Automatic how much to pad the range of values PlotRegion Automatic the final display region to be filled PlotTheme $PlotTheme overall theme for the plot PreserveImageOptions Automatic whether to preserve image options when displaying new versions of the same graphic Prolog {} primitives rendered before the main plot RasterSize Automatic the pixel width of the rasterized image RotateLabel True whether to rotate y labels on the frame Ticks Automatic axes ticks TicksStyle {} style specifications for axes ticks WorkingPrecision MachinePrecision precision to use in internal computations
List of all options
![](Files/ListLineIntegralConvolutionPlot.en/details_3.png)
![](Files/ListLineIntegralConvolutionPlot.en/details_4.png)
![](Files/ListLineIntegralConvolutionPlot.en/details_5.png)
Examples
open allclose allBasic Examples (2)
Scope (10)
Sampling (6)
Options (44)
ColorFunction (5)
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:
ColorFunctionScaling (4)
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:
DataRange (1)
FrameTicks (8)
Place frame tick marks and labels automatically:
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:
PerformanceGoal (2)
PlotLegends (1)
Add a color bar legend for the convolution:
Place the legend below the plot:
Use BarLegend to modify the legend:
PlotRange (7)
PlotRangePadding (6)
Applications (2)
Properties & Relations (4)
Use LineIntegralConvolutionPlot to plot functions:
Other alternatives for visualizing vector field data:
Other alternatives for visualizing vector field functions:
Use ListVectorPlot3D and ListStreamPlot3D to visualize 3D vector field data:
Text
Wolfram Research (2008), ListLineIntegralConvolutionPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListLineIntegralConvolutionPlot.html (updated 2014).
CMS
Wolfram Language. 2008. "ListLineIntegralConvolutionPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/ListLineIntegralConvolutionPlot.html.
APA
Wolfram Language. (2008). ListLineIntegralConvolutionPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListLineIntegralConvolutionPlot.html