Surface Constructor (FuncSingle, Single, Single, Single, Single, Int32, Single, Single, Int32, FuncSingle, Single, Single, TupleSingle, Single, Colormap, Object)

public Surface(
	Func<float, float, float> ZFunc,
	float xmin = -10f,
	float xmax = 10f,
	int xlen = 50,
	float ymin = -10f,
	float ymax = 10f,
	int ylen = 50,
	Func<float, float, float> CFunc = null,
	Tuple<float, float> colorsDataRange = null,
	Colormap colormap = null,
	Object tag = null
)

Public Sub New ( 
	ZFunc As Func(Of Single, Single, Single),
	Optional xmin As Single = -10F,
	Optional xmax As Single = 10F,
	Optional xlen As Integer = 50,
	Optional ymin As Single = -10F,
	Optional ymax As Single = 10F,
	Optional ylen As Integer = 50,
	Optional CFunc As Func(Of Single, Single, Single) = Nothing,
	Optional colorsDataRange As Tuple(Of Single, Single) = Nothing,
	Optional colormap As Colormap = Nothing,
	Optional tag As Object = Nothing
)

Dim ZFunc As Func(Of Single, Single, Single)
Dim xmin As Single
Dim xmax As Single
Dim xlen As Integer
Dim ymin As Single
Dim ymax As Single
Dim ylen As Integer
Dim CFunc As Func(Of Single, Single, Single)
Dim colorsDataRange As Tuple(Of Single, Single)
Dim colormap As Colormap
Dim tag As Object

Dim instance As New Surface(ZFunc, xmin, 
	xmax, xlen, ymin, ymax, ylen, CFunc, 
	colorsDataRange, colormap, tag)

Parameters

ZFunc

Type: SystemFuncSingle, Single, Single
function delegate or lambda expression for computing the Z values out of X and Y parameters

xmin (Optional)

Type: SystemSingle
[optional] minimal x axis range

xmax (Optional)

Type: SystemSingle
[optional] maximum x axis range

xlen (Optional)

Type: SystemInt32
[optional] number of steps on the x axis

ymin (Optional)

Type: SystemSingle
[optional] minimal y axis range

ymax (Optional)

Type: SystemSingle
[optional] maximum y axis range

ylen (Optional)

Type: SystemInt32
[optional] number of steps on the y axis

CFunc (Optional)

Type: SystemFuncSingle, Single, Single
[optional] function delegate or lambda expression for computing the colors for the grid point (x,y) tuples; default: colormapped heights (Z-values)

colorsDataRange (Optional)

Type: SystemTupleSingle, Single
[optional] if not null, the lower (Item1) and the upper (Item2) limit of the inherent data range of the C parameter in colormap mode. If null, the maximum and the minimum values are taken from C.

colormap (Optional)

Type: ILNumerics.Drawing.PlottingColormap
[optional] Colormap to be used for colormappings, default: 'ILNumerics'

tag (Optional)

Type: SystemObject
[optional]tag used to identify the surface within the scene graph

The surface is constructed by evaluating ZFunc for every grid point. The optional parameters xmin, xmax and xlen define the grid points for the X axis; ymin, ymax and ylen for the Y axis accordingly. Axes generate 50 points running from -5 to 5 per default.

If either of X or Y is null, the coords are computed based on a regular spacing, starting at 0 and running along the X and Y axis with a step width of 1.

The optional CFunc parameter is used to define the coloring of each grid point. If omitted, the Z values (heights) are mapped to the current colormap. Otherwise, the CFunc is evaluated for each grid point.

The optional colormap parameter can be used to set the surfaces colormap to an individual map. If this parameter is ommitted, the predefined 'ILNumerics' colormap is taken by default.

[ILNumerics Visualization Engine]

(x, y) => (float)(Math.Sin(x) * Math.Cos(y) * Math.Exp(-(x * x * y * y) / 4)

The ranges for the X and Y axes are left at their defaults. The colors are generated from the function

(x,y) => x * y

The complete scene setup:

private void ilPanel1_Load(object sender, EventArgs e) {
    var scene = new Scene() {
        new PlotCube(twoDMode: false) {
            new Surface((x, y) => (float)(Math.Sin(x) * Math.Cos(y) * Math.Exp(-(x * x * y * y) / 4)), 
                      CFunc: (x,y) => x * y, colormap: Colormaps.Jet) { 
                UseLighting = true,
                Children = { new Colorbar() },
            }
        } 
    };
    ilPanel1.Scene = scene;
}

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Reference