# Interpolate 2D (Scattered » Biharmonic Spline) (G Dataflow)

Performs two-dimensional interpolation on scattered points by using the biharmonic spline interpolation method.

This node accepts two independent variables and one dependent variable and returns interpolated values that correspond to each location of the independent variables.

## z

Tabulated values of the dependent variable.

x, y, and z must be the same size.

## x

Tabulated values of the independent variable in the x domain.

x, y, and z must be the same size.

## y

Tabulated values of the independent variable in the y domain.

x, y, and z must be the same size.

## error in

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error

## xi

Values of the x domain where the node computes interpolated values of zi.

This input accepts a 1D or 2D array of double-precision, floating-point numbers.

xi and yi must be the same size.

## yi

Values of the x domain where the node computes interpolated values of zi.

This input accepts a 1D or 2D array of double-precision, floating-point numbers.

xi and yi must be the same size.

## zi

Interpolated values of the new points that correspond to the xi and yi values.

This output can return a 1D or 2D array of double-precision, floating-point numbers.

## error out

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

## Understanding the Biharmonic Spline Interpolation Method

This node performs smooth interpolation using the biharmonic spline interpolation method. With the biharmonic spline interpolation method, this node calculates 2D biharmonic spline interpolation by using Green's function.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported

Web Server: Not supported in VIs that run in a web application