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ListSurfacePlot3D

ListSurfacePlot3D

plots a three-dimensional surface constructed to fit the specified points.

MORE INFORMATION

ListSurfacePlot3D attempts to reconstruct smooth surfaces defined by sets of points.

Surfaces generated by ListSurfacePlot3D can "fold over", and do not need to have a single value for given and values.

The order in which , , points are supplied to ListSurfacePlot3D does not affect the results.

ListSurfacePlot3D has the same options as Graphics3D, with the following additions and changes:

	Axes	True	whether to draw axes
	BoundaryStyle	Automatic	how to draw boundary lines for surfaces
	BoxRatios	Automatic	bounding 3D box ratios
	ColorFunction	Automatic	how to determine the color of the surface
	ColorFunctionScaling	True	whether to scale arguments to ColorFunction
	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 lines
	MeshShading	None	how to shade regions between mesh lines
	MeshStyle	Automatic	the style for mesh lines
	Method	Automatic	the method to use for interpolation and data reduction
	PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
	PlotRange	All	the range of values to include
	PlotRangePadding	Automatic	how much to pad the range of values
	PlotStyle	Automatic	graphics directives to specify the style for the surface
	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

ListSurfacePlot3D yields a surface that fits the data provided, but may not necessarily contain the specific points defined by the data.

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

ListSurfacePlot3D returns Graphics3D[GraphicsComplex[data]].

Basic Examples (1)

Reconstruct a surface from 3D data:

Process and style the resulting surface:

Reconstruct a surface from 3D data:

Out[2]=

Process and style the resulting surface:

Out[3]=

Nonreal data is excluded:

Use MaxPlotPoints to limit the number of points used:

Use PlotRange to focus in on areas of interest:

Use RegionFunction to restrict the surface to a region given by inequalities:

Provide an explicit PlotStyle for the surface:

Add labels:

Color the surface by height:

Provide overlay meshes:

Style the areas between mesh lines:

Use a black boundary around the edges of the surface:

Use a thick boundary around the edges of the surface:

Use a thick red boundary around the edges of the surface:

BoundaryStyle applies to holes cut by RegionFunction:

Color by scaled

,

, and

values:

Named color gradients color in the

direction:

ColorFunction has higher priority than PlotStyle:

ColorFunction has lower priority than MeshShading:

Use unscaled coordinates when calculating the color:

Use no mesh:

Show the sampling mesh:

Use 5 mesh lines in each direction:

Use 3 mesh lines in the

direction and 6 mesh lines in the

direction:

Use mesh lines at specific values:

Use a mesh evenly spaced in the

,

, and

directions:

Use an arbitrary mesh function:

Use None to remove regions:

Lay a checkerboard pattern over a surface:

MeshShading has a higher priority than PlotStyle:

MeshShading has a higher priority than ColorFunction:

Use red mesh lines:

Use red mesh lines in the

direction, blue in the

direction, and thick in the

direction:

Color a surface with diffuse cyan:

Use Specularity to get highlights:

Use Opacity to get transparent surfaces:

Produce a wire mesh:

ColorFunction has higher priority than PlotStyle:

MeshShading has a higher priority than PlotStyle:

Select a region in

,

, and

:

Select the region where

:

Textures use scaled

and

coordinates by default:

Use the

and

coordinates:

Use unscaled coordinates:

Use textures to highlight how parameters map onto a surface:

Use scaled or unscaled coordinates for textures:

Applications (1)

Reconstruct a sphere:

Add "noise" to the data:

Properties & Relations (13)

ListPlot3D always assumes a function surface with one sheet:

ListSurfacePlot3D can fill in any number of sheets:

ListSurfacePlot3D produces an approximating general surface:

ListPlot3D constructs a function surface that oscillates rapidly in the

direction:

When using multiple

values for each

,

value the duplicates are discarded by ListPlot3D:

ListSurfacePlot3D still reconstructs the general surface:

Use ListPointPlot3D to show three-dimensional points:

Use ListContourPlot3D to find contours through values associated with

,

,

data:

Use ListContourPlot to create contours from continuous data:

Use ListDensityPlot to create densities from continuous data:

Use ArrayPlot for arrays of discrete data:

Use MatrixPlot for structural plots of matrices:

Use ReliefPlot for matrices corresponding to medical and geographic values:

Use ListLogPlot, ListLogLogPlot, and ListLogLinearPlot for logarithmic plots:

Use ListPolarPlot for polar plots:

Use DateListPlot to show data over time:

Use ParametricPlot3D for three-dimensional parametric curves and surfaces:

ListPlot3D ListPointPlot3D ParametricPlot3D ListDensityPlot ListContourPlot ListContourPlot3D RegionPlot3D Plot3D ListCurvePathPlot

Computational Geometry

Data Visualization

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