001    /*
002     *    GeoAPI - Java interfaces for OGC/ISO standards
003     *    http://www.geoapi.org
004     *
005     *    Copyright (C) 2004-2012 Open Geospatial Consortium, Inc.
006     *    All Rights Reserved. http://www.opengeospatial.org/ogc/legal
007     *
008     *    Permission to use, copy, and modify this software and its documentation, with
009     *    or without modification, for any purpose and without fee or royalty is hereby
010     *    granted, provided that you include the following on ALL copies of the software
011     *    and documentation or portions thereof, including modifications, that you make:
012     *
013     *    1. The full text of this NOTICE in a location viewable to users of the
014     *       redistributed or derivative work.
015     *    2. Notice of any changes or modifications to the OGC files, including the
016     *       date changes were made.
017     *
018     *    THIS SOFTWARE AND DOCUMENTATION IS PROVIDED "AS IS," AND COPYRIGHT HOLDERS MAKE
019     *    NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
020     *    TO, WARRANTIES OF MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE OR THAT
021     *    THE USE OF THE SOFTWARE OR DOCUMENTATION WILL NOT INFRINGE ANY THIRD PARTY
022     *    PATENTS, COPYRIGHTS, TRADEMARKS OR OTHER RIGHTS.
023     *
024     *    COPYRIGHT HOLDERS WILL NOT BE LIABLE FOR ANY DIRECT, INDIRECT, SPECIAL OR
025     *    CONSEQUENTIAL DAMAGES ARISING OUT OF ANY USE OF THE SOFTWARE OR DOCUMENTATION.
026     *
027     *    The name and trademarks of copyright holders may NOT be used in advertising or
028     *    publicity pertaining to the software without specific, written prior permission.
029     *    Title to copyright in this software and any associated documentation will at all
030     *    times remain with copyright holders.
031     */
032    package org.opengis.geometry.coordinate;
033    
034    import org.opengis.annotation.UML;
035    
036    import static org.opengis.annotation.Obligation.*;
037    import static org.opengis.annotation.Specification.*;
038    
039    
040    /**
041     * A placement defined by linear transformation from the parameter space to the target
042     * coordinate space. In 2-dimensional Cartesian parameter space, (<var>u</var>, <var>v</var>),
043     * transforms into a 3-dimensional coordinate reference system, (<var>x</var>, <var>y</var>, <var>z</var>),
044     * by using an affine transformation, (<var>u</var>, <var>v</var>) &rarr; (<var>x</var>, <var>y</var>, <var>z</var>),
045     * which is defined:
046     *
047     * <P><center><img src="doc-files/AffinePlacement.png"></center></P>
048     *
049     * Then, given this equation, the {@link #getLocation()} method returns the direct position
050     * (<var>x</var><sub>0</sub>, <var>y</var><sub>0</sub>, <var>z</var><sub>0</sub>), which
051     * is the target position of the origin in (<var>u</var>, <var>v</var>). The two
052     * {@linkplain #getReferenceDirection(int) reference directions}
053     * (<var>u</var><sub>x</sub>, <var>u</var><sub>y</sub>, <var>u</var><sub>z</sub>)
054     * and (<var>v</var><sub>x</sub>, <var>v</var><sub>y</sub>, <var>v</var><sub>z</sub>) are the
055     * target directions of the unit basis vectors at the origin in (<var>u</var>, <var>v</var>).
056     *
057     * @author  Martin Desruisseaux (IRD)
058     * @author  Axel Francois (LSIS/Geomatys)
059     * @version 3.1
060     * @since   2.0
061     *
062     * @navassoc 1 - - Position
063     *
064     * @todo Refactor as an {@code org.opengis.referencing.operation.AffineTransform} interface?
065     */
066    @UML(identifier="GM_AffinePlacement", specification=ISO_19107)
067    public interface AffinePlacement extends Placement {
068        /**
069         * Gives the target of the parameter space origin. This is the vector
070         * (<var>x</var><sub>0</sub>, <var>y</var><sub>0</sub>, <var>z</var><sub>0</sub>)
071         * in the formulae shown in the class description.
072         *
073         * @return The target of the parameter space origin.
074         */
075        @UML(identifier="location", obligation=MANDATORY, specification=ISO_19107)
076        Position getLocation();
077    
078        /**
079         * Gives the target directions for the coordinate basis vectors of the parameter space.
080         * These are the columns of the matrix in the formulae given in the class description.
081         * The number of directions given shall be {@link #getInDimension() inDimension}.
082         * The dimension of the directions shall be {@link #getOutDimension() outDimension}.
083         *
084         * @param  dimension The in dimension, as an index from 0 inclusive to
085         *         {@link #getInDimension() inDimension} exclusive.
086         * @return The direction as an array of length {@link #getOutDimension() outDimension}.
087         */
088        @UML(identifier="refDirection", obligation=MANDATORY, specification=ISO_19107)
089        double[] getReferenceDirection(int dimension);
090    }