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Java example source code file (MicrosphereProjectionInterpolator.java)

This example Java source code file (MicrosphereProjectionInterpolator.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

dimensionmismatchexception, interpolatingmicrosphere, microsphereprojectioninterpolator, multivariatefunction, multivariateinterpolator, nodataexception, notpositiveexception, nullargumentexception, unitsphererandomvectorgenerator

The MicrosphereProjectionInterpolator.java Java example source code

/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
package org.apache.commons.math3.analysis.interpolation;

import org.apache.commons.math3.analysis.MultivariateFunction;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.NoDataException;
import org.apache.commons.math3.exception.NotPositiveException;
import org.apache.commons.math3.exception.NullArgumentException;
import org.apache.commons.math3.random.UnitSphereRandomVectorGenerator;

/**
 * Interpolator that implements the algorithm described in
 * <em>William Dudziak's
 * <a href="http://www.dudziak.com/microsphere.pdf">MS thesis.
 *
 * @since 3.6
 */
public class MicrosphereProjectionInterpolator
    implements MultivariateInterpolator {
    /** Brightness exponent. */
    private final double exponent;
    /** Microsphere. */
    private final InterpolatingMicrosphere microsphere;
    /** Whether to share the sphere. */
    private final boolean sharedSphere;
    /** Tolerance value below which no interpolation is necessary. */
    private final double noInterpolationTolerance;

    /**
     * Create a microsphere interpolator.
     *
     * @param dimension Space dimension.
     * @param elements Number of surface elements of the microsphere.
     * @param exponent Exponent used in the power law that computes the
     * @param 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 {@code background} value will
     * be returned instead.
     * @param darkThreshold Value of the illumination below which a facet is
     * considered dark.
     * @param background Value returned when the {@code maxDarkFraction}
     * threshold is exceeded.
     * @param sharedSphere Whether the sphere can be shared among the
     * interpolating function instances.  If {@code true}, the instances
     * will share the same data, and thus will <em>not be thread-safe.
     * @param 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 org.apache.commons.math3.exception.NotStrictlyPositiveException
     * if {@code dimension <= 0} or {@code elements <= 0}.
     * @throws NotPositiveException if {@code exponent < 0}.
     * @throws NotPositiveException if {@code darkThreshold < 0}.
     * @throws org.apache.commons.math3.exception.OutOfRangeException if
     * {@code maxDarkFraction} does not belong to the interval {@code [0, 1]}.
     */
    public MicrosphereProjectionInterpolator(int dimension,
                                             int elements,
                                             double maxDarkFraction,
                                             double darkThreshold,
                                             double background,
                                             double exponent,
                                             boolean sharedSphere,
                                             double noInterpolationTolerance) {
        this(new InterpolatingMicrosphere(dimension,
                                          elements,
                                          maxDarkFraction,
                                          darkThreshold,
                                          background,
                                          new UnitSphereRandomVectorGenerator(dimension)),
             exponent,
             sharedSphere,
             noInterpolationTolerance);
    }

    /**
     * Create a microsphere interpolator.
     *
     * @param microsphere Microsphere.
     * @param exponent Exponent used in the power law that computes the
     * weights (distance dimming factor) of the sample data.
     * @param sharedSphere Whether the sphere can be shared among the
     * interpolating function instances.  If {@code true}, the instances
     * will share the same data, and thus will <em>not be thread-safe.
     * @param 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 NotPositiveException if {@code exponent < 0}.
     */
    public MicrosphereProjectionInterpolator(InterpolatingMicrosphere microsphere,
                                             double exponent,
                                             boolean sharedSphere,
                                             double noInterpolationTolerance)
        throws NotPositiveException {
        if (exponent < 0) {
            throw new NotPositiveException(exponent);
        }

        this.microsphere = microsphere;
        this.exponent = exponent;
        this.sharedSphere = sharedSphere;
        this.noInterpolationTolerance = noInterpolationTolerance;
    }

    /**
     * {@inheritDoc}
     *
     * @throws DimensionMismatchException if the space dimension of the
     * given samples does not match the space dimension of the microsphere.
     */
    public MultivariateFunction interpolate(final double[][] xval,
                                            final double[] yval)
        throws DimensionMismatchException,
               NoDataException,
               NullArgumentException {
        if (xval == null ||
            yval == null) {
            throw new NullArgumentException();
        }
        if (xval.length == 0) {
            throw new NoDataException();
        }
        if (xval.length != yval.length) {
            throw new DimensionMismatchException(xval.length, yval.length);
        }
        if (xval[0] == null) {
            throw new NullArgumentException();
        }
        final int dimension = microsphere.getDimension();
        if (dimension != xval[0].length) {
            throw new DimensionMismatchException(xval[0].length, dimension);
        }

        // Microsphere copy.
        final InterpolatingMicrosphere m = sharedSphere ? microsphere : microsphere.copy();

        return new MultivariateFunction() {
            /** {inheritDoc} */
            public double value(double[] point) {
                return m.value(point,
                               xval,
                               yval,
                               exponent,
                               noInterpolationTolerance);
            }
        };
    }
}

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