Built-in Mathematica Symbol

ReliefPlot

ReliefPlot[array]
generates a relief plot of an array of height values.

ReliefPlot[array] arranges successive rows of array up the page, and successive columns across.

ReliefPlot has the same options as Graphics, with the following additions and changes:

AspectRatio	Automatic	ratio of height to width
Axes	False	whether to draw axes
BoxRatios	Automatic	effective 3D bounding box ratios
ClippingStyle	None	how to draw clipped parts of the surface
ColorFunction	Automatic	how to determine the color of surfaces
ColorFunctionScaling	True	whether to scale arguments to ColorFunction
DataRange	Automatic	the range of x and y values to assume for data
DataReversed	False	whether to reverse the order of rows
Frame	True	whether to draw a frame around the plot
FrameTicks	None	what ticks to include on the frame
LightingAngle	Automatic	effective angle of the simulated light source
MaxPlotPoints	Automatic	the maximum number of points to include
Mesh	False	whether to draw a mesh
MeshStyle	Automatic	the style for mesh lines
Method	Automatic	the method to use
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotRange	{Full,Full,All}	the range of z or other values to include
PlotRangeClipping	True	whether to clip at the plot range
PlotRangePadding	Automatic	how much to pad the range of values

In ReliefPlot[array], array must be a rectangular array, with each element a single real number representing a z value.

There will be holes in the surface corresponding to array elements that do not represent explicit height values.

ReliefPlot[array] by default takes the x and y coordinate values for each data point to be successive integers starting at 1. Other coordinates can be specified using DataRange.

Possible settings for Method include "DiffuseReflection" and "AspectBasedShading".

With some settings for PerformanceGoal, other specific option settings may be overridden.

EXAMPLES

CLOSE ALL

Basic Examples (2)

Use elevation data to display shaded terrain:

Display density data with shading:

Use elevation data to display shaded terrain:

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Display density data with shading:

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Scope (12)

By default, the

and

data ranges are taken to be integer values:

Provide explicit

and

data ranges by using DataRange:

Reverse the

data range by using DataReversed:

Use MaxPlotPoints to limit the number of points used:

PlotRange->Automatic can be used to drop the outlying area:

Specify explicit

ranges:

Add labels:

Shadings with no color:

Color the data by height:

Use predefined gradients:

Specify the direction where the simulated lighting is placed:

Specify the box ratios:

Use the "AspectBasedShading" method:

Provide overlay meshes:

Options (41)

Automatically choose appropriate box ratios:

Make overall shading closely match 3D plots with the box ratios

:

Increasing the

ratio produces more contrast in shading:

Clipped regions are not shown by default:

Color clipped regions like the rest of the plot:

Use pink to fill the clipped regions:

Use gray where the surface is clipped at the top and purple where it is clipped at the bottom:

Shadings with no color:

Color by scaled

coordinate:

Specify gray-level intensity by scaled

coordinate:

Named color gradients color in the

direction:

Use brightness to correspond to the height or density of a function:

Use the blend between two colors to indicate the height or density of a function:

Scaled color functions may not be suitable for real-world elevation data:

Instead, use a nonscaled color function for accurate representation of the elevation:

Arrays are displayed against the number of elements in each direction:

Rescale to the sampling space:

Reverse the

range:

By default, the simulated lighting is placed at

, or the top left corner, with altitude

:

Place the light source at

, or the left side of the map:

Place the light source at

, or the right side of the map, with

altitude:

The result with no shading:

ReliefPlot normally uses all the points in the dataset:

Limit the number of points used in each direction:

No mesh is used by default:

Show the final sampling meshes:

Provide 8 meshes in each direction:

Mesh lines at specific positions:

Specify the style of each mesh line:

Mesh lines are partially transparent by default:

Use red dashed lines for meshes:

Individually styled mesh lines can be used together with MeshStyle, and have higher priority:

Normally, the "DiffuseReflection" method is used for shading:

Use the "AspectBasedShading" method:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

Normally, ReliefPlot uses all points to compute the range:

Automatically compute the

range and clip extreme portions of it:

Use an explicit

range and

range to focus on areas of interest:

PlotRange interacts with DataRange:

Specify

range to emphasize features:

Clip the plot at PlotRange:

Properties & Relations (1)

Some Import functions use ReliefPlot to display elevation maps with shaded relief:

Possible Issues (1)

Define two consecutive datasets:

Due to

-value scaling, two results may not be consistent:

By specifying the same plot range, two results become consistent with each other:

Neat Examples (2)

A sum of quotients of norms seen in relief:

Sample a sum of five sine waves in random directions: