Performs one-dimensional interpolation by using the cubic Hermite interpolation method.
The cubic Hermite method has better locality than the spline method and the polynomial method.
You can reuse piecewise polynomial as an input to the Evaluate Interpolating Polynomial node to find the interpolated values.
A Boolean that specifies whether the values of the independent variable increase monotonically with the index.
True | The values of the independent variable increase monotonically with the index. This node does not sort x or reorder y. |
False | The values of the independent variable does not increase monotonically with the index. This node sorts x to be in ascending order and reorders y accordingly. |
Default: False
Tabulated values of the dependent variable.
Tabulated values of the independent variable. The length of x must equal the length of y.
Values of the independent variable at which this node computes the interpolated values of the dependent variables.
This input accepts a double-precision, floating-point number or a 1D array of double-precision, floating-point numbers.
Number of times that this node interpolates values repeatedly and evenly between each x element to generate xi used. ntimes determines the locations of the interpolation values.
This input yields interpolated values between every y element when xi is empty. The node ignores ntimes if you wire the xi input.
This input is available only if you wire an array of double-precision, floating-point numbers to xi.
Default: 1
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.
Default: No error
Interpolated values that correspond to the independent variable values.
This output can return a double-precision, floating-point number or a 1D array of double-precision, floating-point numbers.
Values of the independent variable at which this node computes interpolated values of the dependent variable.
This output is available only if you wire an array of double-precision, floating-point numbers to xi.
If xi is empty, xi used returns 2ntimes *(N - 1) + 1 points with (2ntimes - 1) points located evenly between each two adjacent elements in x, where N is the length of x. If you wire the xi input, xi used equals xi.
Piecewise interpolating polynomial for the Evaluate Interpolating Polynomial node to reuse.
Endpoint values of the x domain.
If x locations is of size N, the coefficients array should contain N - 1 rows of polynomial coefficients.
Coefficients of the interpolating polynomial.
Row i of coefficients contains the coefficients for the interpolating polynomial between elements xi and xi + 1 of x locations.
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.
The cubic Hermite interpolation method guarantees that the first derivative of the interpolant is continuous and sets the first derivative at the endpoints in order to preserve the original shape and monotonicity of the y data.
The cubic Hermite interpolation method is a piecewise interpolation. This method derives a third-order polynomial in Hermite form for each interval and ensures only the first derivatives of the interpolation polynomials are continuous. Compared with the cubic spline method, the cubic Hermite method has better locality. In other words, if you change one data point xj, the effect on the interpolation result lies in the range between [xj - 1, xj] and [xj, xj + 1].
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application