2.8.15 interp3

Menu Information

Analysis: Mathematics: 3D Interpolation

Perform 3D interpolation

1. interp3 (Col(1), Col(2), Col(3), Col(4)) pts:=5;

Display Name	Variable Name	I/O and Type	Default Value	Description
Input	irng	Input Range		The input range.
Number of Points in Each Dimension	pts	Input int	10	Number of points in each dimension.
X Minimum	xmin	Input double		Specifies the X minimum value of this interpolation.
X Maximum	xmax	Input double		Specifies the X maximum value of this interpolation.
Y Minimum	ymin	Input double		Specifies the Y minimum value of this interpolation.
Y Maximum	ymax	Input double		Specifies the Y maximum value of this interpolation.
Z Minimum	zmin	Input double		Specifies the Z minimum value of this interpolation.
Z Maximum	zmax	Input double		Specifies the Z maximum value of this interpolation.
Output	rd	Output ReportData	[<input>]<new>	The output result.

Import the data \Samples\Mathematics\3D Interpolation.dat.
Highlight column C and right-click. In the fly-out menu, select Set As : Z to set it as Z column. Then click Plot : 3D XYZ : 3D Scatter to create a 3D graph.
To give a visual impression on what the original data is, we can set column D as symbol size. Double click the 3D Scatter to bring up the Plot Details dialog. Expand all branches on the left panel and select Original. Then in the Symbol tab of right panel, select Col(F) from Size drop-down list and click OK. The 3D Scatter will looks like:
To interpolate these data, active the worksheet, and select Analysis : Mathematics : 3D Interpolation to bring up the X-Function dialog. Enter column X, Y, Z, F to Input branch respectively. Enter 5 on Number of Points in Each Dimension box, which means it will generate 5*5*5 = 125 interpolated points. Then click OK to do interpolation.
To verify the result, active the output result worksheet, and plot a 3D scatter plot as above, using Col(F) as symbol size. The interpolated graph will looks like: