dev.nm.analysis.curvefit.interpolation.univariate

Class CubicHermite

java.lang.Object

dev.nm.analysis.curvefit.interpolation.univariate.CubicHermite

All Implemented Interfaces:

CurveFitting, Interpolation

public class CubicHermite
extends Object
implements Interpolation

Cubic Hermite spline interpolation is a piecewise spline interpolation, in which each polynomial is in Hermite form which consists of two control points and two control tangents. Unlike CubicSpline interpolation, where the interpolated splines depend on each point, this method performs piecewise interpolation. The method for computing the control tangents is non-unique and various approaches exist.

See Also:

Wikipedia: Cubic Hermite spline

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static interface	CubicHermite.Tangent The method for computing the control tangent at a given index.
static class	CubicHermite.Tangents

Constructor Summary

Constructors

Constructor and Description
CubicHermite() Construct an instance with CubicHermite.Tangents.CATMULL_ROM as the method for computing tangents.
CubicHermite(CubicHermite.Tangent tangent) Construct an instance with the given method to compute tangents.

Method Summary

Modifier and Type	Method and Description
UnivariateRealFunction	fit(OrderedPairs op) Fit a real valued function from a discrete set of data points.

Methods inherited from class java.lang.Object

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

Constructor Detail

CubicHermite

public CubicHermite()

Construct an instance with CubicHermite.Tangents.CATMULL_ROM as the method for computing tangents.

CubicHermite

public CubicHermite(CubicHermite.Tangent tangent)

Construct an instance with the given method to compute tangents.

Parameters:

tangent - computes the control tangents used for the interpolation

Method Detail

fit

public UnivariateRealFunction fit(OrderedPairs op)

Description copied from interface: Interpolation

Fit a real valued function from a discrete set of data points.

The interpolated function must pass through all the given points.

Specified by:

fit in interface CurveFitting

Specified by:

fit in interface Interpolation

Parameters:

op - a discrete set of data points

Returns:

the interpolated function