LineIntegralConvolutionPlot
LineIntegralConvolutionPlot[{{vx,vy},image},{x,xmin,xmax},{y,ymin,ymax}]
generates a line integral convolution plot of image convolved with the vector field {vx,vy} as a function of x and y.
LineIntegralConvolutionPlot[{vx,vy},{x,xmin,xmax},{y,ymin,ymax}]
generates a line integral convolution plot of white noise with the vector field {vx,vy}.
Details and Options


- 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 {vx,vy}.
- 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 Frame True whether to draw a frame around the plot FrameTicks Automatic frame tick marks 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 PlotLegends None legends for color gradients 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}].
Examples
open allclose allBasic Examples (2)
Scope (12)
Sampling (5)
Presentation (7)
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:
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 (46)
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:
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:
LightingAngle (2)
PerformanceGoal (2)
PlotLegends (2)
Use a legend to show the vector field gradient colors:
Legends automatically pick up settings of ColorFunction:
PlotRange (7)
PlotRangePadding (6)
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:
Properties & Relations (4)
Use ListLineIntegralConvolutionPlot to plot data:
Other alternatives for visualizing vector field functions:
Other alternatives for visualizing vector field data:
Use VectorPlot3D and StreamPlot3D to visualize 3D vector fields:
Text
Wolfram Research (2008), LineIntegralConvolutionPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/LineIntegralConvolutionPlot.html (updated 2014).
CMS
Wolfram Language. 2008. "LineIntegralConvolutionPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/LineIntegralConvolutionPlot.html.
APA
Wolfram Language. (2008). LineIntegralConvolutionPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/LineIntegralConvolutionPlot.html