smile.interpolation

Class CubicSplineInterpolation1D

java.lang.Object

smile.interpolation.AbstractInterpolation

smile.interpolation.CubicSplineInterpolation1D

All Implemented Interfaces:

Interpolation

public class CubicSplineInterpolation1D
extends AbstractInterpolation

Cubic spline interpolation. Spline interpolation uses low-degree polynomials in each of the intervals, and chooses the polynomial pieces such that they fit smoothly together. The resulting function is called a spline.

The natural cubic spline is piecewise cubic and twice continuously differentiable. Furthermore, its second derivative is zero at the end points.

Like polynomial interpolation, spline interpolation incurs a smaller error than linear interpolation and the interpolant is smoother. However, the interpolant is easier to evaluate than the high-degree polynomials used in polynomial interpolation. It also does not suffer from Runge's phenomenon.

Constructor Summary

Constructors

Constructor and Description
CubicSplineInterpolation1D(double[] x, double[] y) Constructor.

Method Summary

Methods inherited from class smile.interpolation.AbstractInterpolation

interpolate

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

CubicSplineInterpolation1D

public CubicSplineInterpolation1D(double[] x,
                                  double[] y)

Constructor.