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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}.
  • 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}.
AspectRatio1ratio of height to width
BoxRatiosAutomaticeffective 3D box ratios for simulated lighting
ColorFunctionAutomatichow to color background densities
ColorFunctionScalingTruewhether to scale arguments to ColorFunction
EvaluationMonitorNoneexpression to evaluate at every function evaluation
LineIntegralConvolutionScaleAutomaticlength of convolution along streamlines
FrameTruewhether to draw a frame around the plot
FrameTicksAutomaticframe tick marks
LightingAngleNoneeffective angle for simulated lighting
MethodAutomaticmethods to use for the plot
PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
PlotRange{Full,Full}range of x, y values to include
PlotRangePaddingAutomatichow much to pad the range of values
RasterSizeAutomaticthe pixel width of the rasterized image
WorkingPrecisionMachinePrecisionprecision 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.
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:
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Use an imported image:
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Transform an image by a line integral convolution:
Use an image directly as input:
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:
Show the effects of an increasing line integral convolution scale:
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:
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