Built-in Mathematica Symbol

ListDensityPlot

ListDensityPlot[array]
generates a smooth density plot from an array of values.

ListDensityPlot[{{x₁, y₁, f₁}, {x₂, y₂, f₂}, ...}]
generates a density plot with values defined at specified points.

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

ListDensityPlot is mainly intended for discrete samplings of continuous data; ArrayPlot is intended for purely discrete data.

ListDensityPlot by default generates output in which larger values are shown lighter.

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

AspectRatio	1	ratio of height to width
BoundaryStyle	None	how to draw RegionFunction boundaries
ClippingStyle	None	how to draw values clipped by PlotRange
ColorFunction	Automatic	how to color the plot
ColorFunctionScaling	True	whether to scale the argument to ColorFunction
DataRange	Automatic	the range of x and y values to assume for data
Frame	True	whether to draw a frame around the plot
FrameTicks	Automatic	frame tick marks
InterpolationOrder	None	the polynomial degree in each variable of the interpolated density between data points
MaxPlotPoints	Automatic	the maximum number of points to include
Mesh	None	how many mesh lines in each direction to draw
MeshFunctions	{#1&,#2&}	how to determine the placement of 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	{Full,Full,Automatic}	the range of f or other values to include
PlotRangePadding	Automatic	how much to pad the range of values
PlotRangeClipping	True	whether to clip at the plot range
RegionFunction	(True&)	how to determine whether a point should be included
VertexColors	Automatic	colors to assume at every point

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.

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

The setting DataRange->{{x_min, x_max}, {y_min, y_max}} specifies other ranges of coordinate values to use.

With the default setting DataRange->Automatic, ListDensityPlot[{{a₁₁, a₁₂, a₁₃}, ..., {a_n1, a_n2, a_n3}}] will assume that the data being given is {{x₁, y₁, f₁}, ...}, rather than an array of values.