smile.interpolation

Class CubicSplineInterpolation1D

java.lang.Object

smile.interpolation.AbstractInterpolation

smile.interpolation.CubicSplineInterpolation1D

All Implemented Interfaces:

java.io.Serializable, 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.

See Also:

Serialized Form

Constructor Summary

Constructors

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

Method Summary

Modifier and Type	Method and Description
double	rawinterp(int j, double x) Subclasses provide this as the actual interpolation method.
java.lang.String	toString()

Methods inherited from class smile.interpolation.AbstractInterpolation

interpolate, search

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

CubicSplineInterpolation1D

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

Constructor.

Method Detail

rawinterp

public double rawinterp(int j,
                        double x)

Description copied from class: AbstractInterpolation

Subclasses provide this as the actual interpolation method.

Specified by:

rawinterp in class AbstractInterpolation

Parameters:

j - the value jlo is such that x is (insofar as possible) centered in the subrange xx[j..j+m-1], where xx is the stored data.

x - interpolate at this value

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object