Class AkimaSplineInterpolator
- java.lang.Object
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- org.apache.commons.math4.legacy.analysis.interpolation.AkimaSplineInterpolator
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- All Implemented Interfaces:
UnivariateInterpolator
public class AkimaSplineInterpolator extends Object implements UnivariateInterpolator
Computes a cubic spline interpolation for the data set using the Akima algorithm, as originally formulated by Hiroshi Akima in his 1970 paper "A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures." J. ACM 17, 4 (October 1970), 589-602. DOI=10.1145/321607.321609 http://doi.acm.org/10.1145/321607.321609This implementation is based on the Akima implementation in the CubicSpline class in the Math.NET Numerics library. The method referenced is "CubicSpline.InterpolateAkimaSorted".
When the
argument to the constructoristrue, the weights are modified in order to smooth out spurious oscillations.The
interpolatemethod returns aPolynomialSplineFunctionconsisting of n cubic polynomials, defined over the subintervals determined by the x values,x[0] < x[i] ... < x[n]. The Akima algorithm requires thatn >= 5.
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Constructor Summary
Constructors Constructor Description AkimaSplineInterpolator()Uses the original Akima algorithm.AkimaSplineInterpolator(boolean useModified)
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description PolynomialSplineFunctioninterpolate(double[] xvals, double[] yvals)Computes an interpolating function for the data set.
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Constructor Detail
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AkimaSplineInterpolator
public AkimaSplineInterpolator()
Uses the original Akima algorithm.
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AkimaSplineInterpolator
public AkimaSplineInterpolator(boolean useModified)
- Parameters:
useModified- Whether to use the modified Akima interpolation.
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Method Detail
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interpolate
public PolynomialSplineFunction interpolate(double[] xvals, double[] yvals) throws DimensionMismatchException, NumberIsTooSmallException, NonMonotonicSequenceException
Computes an interpolating function for the data set.- Specified by:
interpolatein interfaceUnivariateInterpolator- Parameters:
xvals- the arguments for the interpolation pointsyvals- the values for the interpolation points- Returns:
- a function which interpolates the data set
- Throws:
DimensionMismatchException- ifxvalsandyvalshave different sizes.NonMonotonicSequenceException- ifxvalsis not sorted in strict increasing order.NumberIsTooSmallException- if the size ofxvalsis smaller than 5.
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