B-Spline Fit VI

1D B-Spline Fit VI

The 1D B-Spline Fit VI calculates Best BSpline Fit X and Best BSpline Fit Y by minimizing the residue according to the following equation:

where N is the length of Y, w_i is the i^th element of Weight, (x_i,y_i) is the i^th pair of the input sequences (X, Y), (x'_i,y'_i) is the i^th pair of (Best BSpline Fit X, Best BSpline Fit Y), and the norm symbols (||) on both sides of the function compute the l₂ norm of a vector. The standard B-Spline basis functions construct the B-Spline curve (x'_i,y'_i).

The following illustration shows a typical B-Spline Fit result.

nD B-Spline Fit VI

The nD B-Spline Fit VI calculates the Best BSpline Fit by minimizing the residue according to the following equation:

where D_i is the i^th row of Data and D'_i is the i^th row of Best BSpline Fit.

Examples

Refer to the following example files included with LabVIEW.

• labview\examples\Mathematics\Fitting\B Spline Fitting Demo.vi