Package com.imsl.test.example.math

Class RadialBasisEx2

java.lang.Object

com.imsl.test.example.math.RadialBasisEx2

public class RadialBasisEx2
extends Object

Approximates a function with a polyharmonic spline radial basis function.

Data is generated from the function $$e^\frac{y}{2.0}\sin{x}\cos\frac{y}{2.0}$$ where a number of (x,y) pairs make up a set of randomly chosen points. Random noise is added to the values. A "custom" polyharmonic spline radial basis function is specified in the class, RadialBasisEx2.PolyHarmonicSpline. A radial basis approximation of the noisy data is computed and the radial basis fit is then compared to the original function at another set of randomly chosen points. Both the average normalized error and the maximum normalized error are computed and printed.

In this example, the order of the Polyharmonic Spline, k=2. The function is sampled at 200 random points and the error is computed at 10000 random points.

See Also:

• Code
• Output

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static class	RadialBasisEx2.PolyHarmonicSpline	RadialBasis Example 2b: Defines a polyharmonic spline radial basis function.

Constructor Summary

Constructors

Constructor	Description
RadialBasisEx2()

Method Summary

Modifier and Type	Method	Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

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

Constructor Details

RadialBasisEx2

public RadialBasisEx2()

Method Details

main

public static void main(String[] args)