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interpxyz

Contents

Menu Information

Interpolation

Brief Information

Perform interpolation on the XYZ data

Additional Information

Minimum Origin Version Required:8.5 SR0

Command Line Usage

interpxyz iz:=Col(3) method:=linear npts:=50;

Variables

Display
Name 		Variable
Name 		I/O
and
Type 		Default
Value 		Description
Input iz

Input

XYZRange

<active>

The input XYZ data range to be interpolated.

Method method

Input

Int

<0>

The method used to interpolate.

Option list:

  • linear:Linear
    Use linear interpolation method.
  • spline:Cubic Spline
    Use cubic spline interpolation method.
  • bspline:Cubic B-Spline
    Use cubic B-spline interpolation method.
Number of Points npts

Input

int

<10>

Specifies the number of data points in the the interpolated data set.

Output oz

Output

XYZRange

<new>

Specifies the destination of the interpolated data.

See the syntax here.

Description

This X-Function performs interpolation on XYZ data. The interpolation methods include Linear, Cubic Spline, and Cubic B-spline.

Examples

  1. Import Interpolation.dat, which is in the <Origin Installation Directory>\Samples\Mathematics\ folder.
  2. Highlight Column C and set the column designation to Z. Then select Analysis: Mathematics: XYZ Trace Interpolation from the Origin menu to bring up the dialog.
  3. Note that the Input branch has been filled with the proper data range. Then select the Cubic Spline interpolation method.
    Image:Interpxyz_example_dialog.png
  4. Click OK to perform the interpolation.

Algorithm

In general, between two adjacent data points, the data points will be interpolated so that the number of data points in the final result data set will be equal to the Number of Points variable.

The detailed algorithm is described below:

Given a sequence of distinct triplets of data (x_i\,, y_i\,,z_i\,), where i = 0, 1, ... n-1:

For x_i<x<x_{i+1},x=x_i+\frac j{npts}\left( x_{i+1}-x_i\right),

For y_i<y<y_{i+1},y=y_i+\frac j{npts}\left( y_{i+1}-y_i\right),

For z_i<z<z_{i+1},z=z_i+\frac j{npts}\left( z_{i+1}-z_i\right),

where j=1,2,3...(npts-1), and npts is the value of Number of Points.

Related X-Functions

interp1, interp1xy, spline, bspline, interp1q,