Mathematica 9 is now available

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

DOCUMENTATION CENTER SEARCH

New to Mathematica? Find your learning path »

Mathematica > Visualization and Graphics > Data Visualization > ListContourPlot3D >

Mathematica > Data Manipulation > Statistical Data Analysis > Statistical Visualization > Data Visualization > ListContourPlot3D >

Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Statistical Visualization > Data Visualization > ListContourPlot3D >

BUILT-IN MATHEMATICA SYMBOL

See Also »|More About »

ListContourPlot3D

ListContourPlot3D[array]
generates a contour plot from a three-dimensional array of values.

ListContourPlot3D

generates a contour plot from values defined at specified points in three-dimensional space.

MORE INFORMATION

The contour surfaces plotted by ListContourPlot3D can contain disconnected parts.

By default, ListContourPlot3D shows each contour level as an opaque white surface, with normals pointing outward.

ListContourPlot3D by default shows 3 contour levels, equally spaced in f value.

With the option setting Contours, ListContourPlot3D shows only the one contour level .

ListContourPlot3D has the same options as Graphics3D, with the following additions and changes:

	Axes	True	whether to draw axes
	BoxRatios	{1,1,1}	bounding 3D box ratios
	BoundaryStyle	Automatic	how to draw boundaries of regions
	ColorFunction	Automatic	how to color contour surfaces
	ColorFunctionScaling	True	whether to scale arguments to ColorFunction
	Contours	3	how many or what contour surfaces to show
	ContourStyle	White	the style for contour surfaces
	DataRange	Automatic	the range of coordinate values to assume for data
	MaxPlotPoints	Automatic	the maximum number of points to include
	Mesh	Automatic	how many mesh lines in each direction to draw
	MeshFunctions	{#1&,#2&,#3&}	how to determine the placement of mesh divisions
	MeshShading	None	how to shade regions between mesh lines
	MeshStyle	Automatic	the style for mesh divisions
	Method	Automatic	the method to use for interpolation and data reduction
	PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
	PlotRange	{Full,Full,Full,Automatic}	the range of values to include
	RegionFunction	(True&)	how to determine whether a point should be included
	TextureCoordinateFunction	Automatic	how to determine texture coordinates
	TextureCoordinateScaling	True	whether to scale arguments to TextureCoordinateFunction

ListContourPlot3D linearly interpolates values to give smooth contours.

array should be a rectangular array of real numbers; holes will be left in the plot whenever there are elements that are not real numbers.

ListContourPlot3D[array] by default takes the , , and coordinate values for each data point to be successive integers starting at 1.

The setting DataRange specifies other ranges of coordinate values to use.

array can be a SparseArray object.

The arguments supplied to functions in MeshFunctions and RegionFunction are x, y, z, f. Functions in ColorFunction and TextureCoordinateFunction are by default supplied with scaled versions of these arguments.

ListContourPlot3D returns Graphics3D[GraphicsComplex[data]].

Basic Examples (4)

Find a contour in an array of values:

Find several contours:

Find a contour from irregular data:

Style the contours:

Find a contour in an array of values:

Out[1]=

Find several contours:

Out[1]=

Find a contour from irregular data:

Out[2]=

Style the contours:

Out[1]=

Neat Examples (1)

The zero contour for a random field:

ContourPlot3D ListContourPlot RegionPlot3D ListPlot3D ListSurfacePlot3D ListVectorPlot3D

Data Visualization

New in 6.0: Data Visualization

New in 6.0: Visualization & Graphics

New in 8.0: Visualization & Graphics

New in 6 | Last modified in 8

Ask a question about this page | Suggest an improvement | Leave a message for the team

Format: HTML | CDF