Modifier and Type	Class and Description
private static class	MicrosphereInterpolatingFunction.MicrosphereSurfaceElement Class for storing the accounting data needed to perform the microsphere projection.

Modifier and Type	Field and Description
private final double	brightnessExponent Exponent used in the power law that computes the weights of the sample data.
private final int	dimension Space dimension.
private final List<MicrosphereInterpolatingFunction.MicrosphereSurfaceElement>	microsphere Internal accounting data for the interpolation algorithm.
private final Map<RealVector, Double>	samples Sample data.

Constructor Summary

Access Constructor and Description

Access	Constructor and Description
public	MicrosphereInterpolatingFunction(double[][] 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 `dimension` is thus the dimension of the sampled space). xval, double[] Values for the interpolation points. yval, int Brightness dimming factor. brightnessExponent, int Number of surface elements of the microsphere. microsphereElements, UnitSphereRandomVectorGenerator Unit vector generator for creating the microsphere. rand)

public

MicrosphereInterpolatingFunction(double[][]

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 dimension is thus the dimension of the sampled space).

xval, double[]

Values for the interpolation points.

yval, int

Brightness dimming factor.

brightnessExponent, int

Number of surface elements of the microsphere.

microsphereElements, UnitSphereRandomVectorGenerator

Unit vector generator for creating the microsphere.

rand)

Method Summary

Modifier and Type	Method and Description
private double	Returns: the cosine of the angle between `v` and `w`. cosAngle(final RealVector Vector. v, final RealVector Vector. w) Compute the cosine of the angle between 2 vectors.
public double	Returns: the interpolated value. value(double[] Interpolation point. point) Implements org.apache.commons.math3.analysis.MultivariateFunction.value. Compute the value for the function at the given point.

Inherited from java.lang.Object:: clone equals finalize getClass hashCode notify notifyAll toString wait wait wait

Field Detail

brightnessExponent	back to summary
private final double brightnessExponent Exponent used in the power law that computes the weights of the sample data.

dimension	back to summary
private final int dimension Space dimension.

microsphere	back to summary
private final List<MicrosphereInterpolatingFunction.MicrosphereSurfaceElement> microsphere Internal accounting data for the interpolation algorithm. Each element of the list corresponds to one surface element of the microsphere.

samples	back to summary
private final Map<RealVector, Double> samples Sample data.

Constructor Detail

MicrosphereInterpolatingFunction back to summary

MicrosphereInterpolatingFunction	back to summary
public MicrosphereInterpolatingFunction(double[][] xval, double[] yval, int brightnessExponent, int microsphereElements, UnitSphereRandomVectorGenerator rand) throws DimensionMismatchException, NoDataException, NullArgumentException Parameters xval:double[][] 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 `dimension` is thus the dimension of the sampled space). yval:double[] Values for the interpolation points. brightnessExponent:int Brightness dimming factor. microsphereElements:int Number of surface elements of the microsphere. rand:UnitSphereRandomVectorGenerator Unit vector generator for creating the microsphere. Exceptions DimensionMismatchException: if the lengths of `yval` and `xval` (equal to `n`, the number of interpolation points) do not match, or the the arrays `xval[0]` ... `xval[n]`, have lengths different from `dimension`. NoDataException: if there an array has zero-length. NullArgumentException: if an argument is `null`.

public MicrosphereInterpolatingFunction(double[][] xval, double[] yval, int brightnessExponent, int microsphereElements, UnitSphereRandomVectorGenerator rand) throws DimensionMismatchException, NoDataException, NullArgumentException

Parameters

xval:double[][]: 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 dimension is thus the dimension of the sampled space).
yval:double[]: Values for the interpolation points.
brightnessExponent:int: Brightness dimming factor.
microsphereElements:int: Number of surface elements of the microsphere.
rand:UnitSphereRandomVectorGenerator: Unit vector generator for creating the microsphere.

Exceptions

DimensionMismatchException:: if the lengths of yval and xval (equal to n, the number of interpolation points) do not match, or the the arrays xval[0] ... xval[n], have lengths different from dimension.
NoDataException:: if there an array has zero-length.
NullArgumentException:: if an argument is null.

Method Detail

cosAngle back to summary

cosAngle	back to summary
private double cosAngle(final RealVector v, final RealVector w) Compute the cosine of the angle between 2 vectors. Parameters v:RealVector Vector. w:RealVector Vector. Returns:double the cosine of the angle between `v` and `w`.

private double cosAngle(final RealVector v, final RealVector w)

Compute the cosine of the angle between 2 vectors.

Parameters

v:RealVector: Vector.
w:RealVector: Vector.

Returns:double

the cosine of the angle between v and w.

value	back to summary
public double value(double[] point) throws DimensionMismatchException Implements org.apache.commons.math3.analysis.MultivariateFunction.value. Doc from org.apache.commons.math3.analysis.MultivariateFunction.value. Compute the value for the function at the given point. Parameters point:double[] Interpolation point. Returns:double the interpolated value. Exceptions DimensionMismatchException: if point dimension does not math sample

value

back to summary

public double value(double[] point) throws DimensionMismatchException

Implements org.apache.commons.math3.analysis.MultivariateFunction.value.

Doc from org.apache.commons.math3.analysis.MultivariateFunction.value.

Compute the value for the function at the given point.

Parameters

point:double[]: Interpolation point.

Returns:double

the interpolated value.

Exceptions

DimensionMismatchException:: if point dimension does not math sample

org.apache.commons.math3.analysis.interpolation back to summary

private Class MicrosphereInterpolatingFunction.MicrosphereSurfaceElement

Class Inheritance

extends Object

java.lang.Object
org.apache.commons.math3.analysis.interpolation.MicrosphereInterpolatingFunction.MicrosphereSurfaceElement

Class for storing the accounting data needed to perform the microsphere projection.

Field Summary

Modifier and Type	Field and Description
private double	brightestIllumination Illumination received from the brightest sample.
private Map.Entry<RealVector, Double>	brightestSample Brightest sample.
private final RealVector	normal Normal vector characterizing a surface element.

Constructor Summary

Access	Constructor and Description
pack-priv	MicrosphereSurfaceElement(double[] Normal vector characterizing a surface element of the microsphere. n)

Method Summary

Modifier and Type	Method and Description
pack-priv double	Returns: the illumination. illumination() Get the illumination of the element.
pack-priv RealVector	Returns: the normal vector normal() Return the normal vector.
pack-priv void	reset() Reset "illumination" and "sampleIndex".
pack-priv Map.Entry<RealVector, Double>	Returns: the sample. sample() Get the sample illuminating the element the most.
pack-priv void	store(final double illumination received from sample illuminationFromSample, final Map.Entry<RealVector, Double> current sample illuminating the element sample) Store the illumination and index of the brightest sample.

Inherited from java.lang.Object:: clone equals finalize getClass hashCode notify notifyAll toString wait wait wait

Field Detail

brightestIllumination	back to summary
private double brightestIllumination Illumination received from the brightest sample.

brightestSample	back to summary
private Map.Entry<RealVector, Double> brightestSample Brightest sample.

normal	back to summary
private final RealVector normal Normal vector characterizing a surface element.

Constructor Detail

MicrosphereSurfaceElement	back to summary
pack-priv MicrosphereSurfaceElement(double[] n) Parameters n:double[] Normal vector characterizing a surface element of the microsphere.

Method Detail

illumination	back to summary
pack-priv double illumination() Get the illumination of the element. Returns:double the illumination.

illumination

back to summary

pack-priv double illumination()

Get the illumination of the element.

Returns:double: the illumination.

normal	back to summary
pack-priv RealVector normal() Return the normal vector. Returns:RealVector the normal vector

normal

back to summary

pack-priv RealVector normal()

Return the normal vector.

Returns:RealVector: the normal vector

reset	back to summary
pack-priv void reset() Reset "illumination" and "sampleIndex".

sample	back to summary
pack-priv Map.Entry<RealVector, Double> sample() Get the sample illuminating the element the most. Returns:Map.Entry<RealVector, Double> the sample.

sample

back to summary

pack-priv Map.Entry<RealVector, Double> sample()

Get the sample illuminating the element the most.

Returns:Map.Entry<RealVector, Double>: the sample.

store	back to summary
pack-priv void store(final double illuminationFromSample, final Map.Entry<RealVector, Double> sample) Store the illumination and index of the brightest sample. Parameters illuminationFromSample:double illumination received from sample sample:Map.Entry<RealVector, Double> current sample illuminating the element

store

back to summary

pack-priv void store(final double illuminationFromSample, final Map.Entry<RealVector, Double> sample)

Store the illumination and index of the brightest sample.

Parameters

illuminationFromSample:double: illumination received from sample
sample:Map.Entry<RealVector, Double>: current sample illuminating the element

public Class MicrosphereInterpolatingFunction

Nested and Inner Type Summary

Field Summary

Constructor Summary

Method Summary

Field Detail

Constructor Detail

Method Detail

private Class MicrosphereInterpolatingFunction.MicrosphereSurfaceElement

Field Summary

Constructor Summary

Method Summary

Field Detail

Constructor Detail

Method Detail