Package org.hipparchus.analysis.interpolation

Class MicrosphereProjectionInterpolator

java.lang.Object

org.hipparchus.analysis.interpolation.MicrosphereProjectionInterpolator

All Implemented Interfaces:

MultivariateInterpolator

public class MicrosphereProjectionInterpolator
extends Object
implements MultivariateInterpolator

Interpolator that implements the algorithm described in William Dudziak's MS thesis.

Constructor Summary

Constructors

Constructor	Description
MicrosphereProjectionInterpolator(int dimension, int elements, double maxDarkFraction, double darkThreshold, double background, double exponent, boolean sharedSphere, double noInterpolationTolerance)	Create a microsphere interpolator.
MicrosphereProjectionInterpolator(InterpolatingMicrosphere microsphere, double exponent, boolean sharedSphere, double noInterpolationTolerance)	Create a microsphere interpolator.

Method Summary

Modifier and Type	Method	Description
MultivariateFunction	interpolate(double[][] xval, double[] yval)	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

MicrosphereProjectionInterpolator

public MicrosphereProjectionInterpolator(int dimension,
                                         int elements,
                                         double maxDarkFraction,
                                         double darkThreshold,
                                         double background,
                                         double exponent,
                                         boolean sharedSphere,
                                         double noInterpolationTolerance)

Create a microsphere interpolator.

Parameters:

dimension - Space dimension.

elements - Number of surface elements of the microsphere.

exponent - Exponent used in the power law that computes the

maxDarkFraction - Maximum fraction of the facets that can be dark. If the fraction of "non-illuminated" facets is larger, no estimation of the value will be performed, and the background value will be returned instead.

darkThreshold - Value of the illumination below which a facet is considered dark.

background - Value returned when the maxDarkFraction threshold is exceeded.

sharedSphere - Whether the sphere can be shared among the interpolating function instances. If true, the instances will share the same data, and thus will not be thread-safe.

noInterpolationTolerance - When the distance between an interpolated point and one of the sample points is less than this value, no interpolation will be performed (the value of the sample will be returned).

Throws:

MathIllegalArgumentException - if dimension <= 0 or elements <= 0.

MathIllegalArgumentException - if exponent < 0.

MathIllegalArgumentException - if darkThreshold < 0.

MathIllegalArgumentException - if maxDarkFraction does not belong to the interval [0, 1].

MicrosphereProjectionInterpolator

public MicrosphereProjectionInterpolator(InterpolatingMicrosphere microsphere,
                                         double exponent,
                                         boolean sharedSphere,
                                         double noInterpolationTolerance)
                                  throws MathIllegalArgumentException

Create a microsphere interpolator.

Parameters:

microsphere - Microsphere.

exponent - Exponent used in the power law that computes the weights (distance dimming factor) of the sample data.

sharedSphere - Whether the sphere can be shared among the interpolating function instances. If true, the instances will share the same data, and thus will not be thread-safe.

noInterpolationTolerance - When the distance between an interpolated point and one of the sample points is less than this value, no interpolation will be performed (the value of the sample will be returned).

Throws:

MathIllegalArgumentException - if exponent < 0.

Method Detail

interpolate

public MultivariateFunction interpolate(double[][] xval,
                                        double[] yval)
                                 throws MathIllegalArgumentException,
                                        NullArgumentException

Computes an interpolating function for the data set.

Specified by:

interpolate in interface MultivariateInterpolator

Parameters:

xval - the arguments for the interpolation points. xval[i][0] is the first component of interpolation point i, xval[i][1] is the second component, and so on until xval[i][d-1], the last component of that interpolation point (where d is thus the dimension of the space).

yval - the values for the interpolation points

Returns:

a function which interpolates the data set

Throws:

MathIllegalArgumentException - if the space dimension of the given samples does not match the space dimension of the microsphere.

NullArgumentException - if the arguments are null.