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java.lang.Objectorg.apache.commons.math.analysis.SplineInterpolator
Computes a natural (a.k.a. "free", "unclamped") cubic spline interpolation for the data set.
The interpolate(double[], double[])
method returns a PolynomialSplineFunction
consisting of n cubic polynomials, defined over the subintervals determined by the x values,
x[0] < x[i] ... < x[n]. The x values are referred to as "knot points."
The value of the PolynomialSplineFunction at a point x that is greater than or equal to the smallest
knot point and strictly less than the largest knot point is computed by finding the subinterval to which
x belongs and computing the value of the corresponding polynomial at x - x[i]
where
i
is the index of the subinterval. See PolynomialSplineFunction
for more details.
The interpolating polynomials satisfy:
The cubic spline interpolation algorithm implemented is as described in R.L. Burden, J.D. Faires, Numerical Analysis, 4th Ed., 1989, PWS-Kent, ISBN 0-53491-585-X, pp 126-131.
Constructor Summary | |
SplineInterpolator()
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Method Summary | |
UnivariateRealFunction |
interpolate(double[] x,
double[] y)
Computes an interpolating function for the data set. |
Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Constructor Detail |
public SplineInterpolator()
Method Detail |
public UnivariateRealFunction interpolate(double[] x, double[] y)
interpolate
in interface UnivariateRealInterpolator
x
- the arguments for the interpolation pointsy
- the values for the interpolation points
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