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<title>org.apache.sis.referencing.operation.transform (Apache SIS 1.0 API)</title>
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<h1 title="Package" class="title">Package&nbsp;org.apache.sis.referencing.operation.transform</h1>
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<div class="block">Conversions or transformations of multi-dimensional coordinate points.
<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Math­Transform</code></a> provides a single API for
coordinate conversions or transformations, including map projections.
Each <code>Math­Transform</code> instances can:
<ul>
<li>transform a single point,</li>
<li>transform efficiently an array of coordinates,</li>
<li>transform a Java2D <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/Shape.html?is-external=true" title="class or interface in java.awt" class="externalLink"><code>Shape</code></a> (<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform2D.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Math­Transform2D</code></a> only),</li>
<li>compute the transform derivative at a location (for advanced users),</li>
<li>be concatenated in a conversion or transformation chain.</li>
</ul>
<code>Math­Transform</code> are truly <var>n</var>-dimensional, but specialized implementations
for 1D and 2D cases are provided for performance reasons or for inter-operability with Java2D.
In the 2D case, Apache SIS provides instances of the standard <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink"><code>Affine­Transform</code></a>
class when possible.
<p>This package does not include map projections, which are a special kind of transforms defined
in their own <a href="../projection/package-summary.html">projection</a> package.</p>
<div class="section">Creating math transforms</div>
<code>Math­Transform</code> instances can be created either directly or indirectly.
The recommended way is the indirect one: first
<a href="../../CRS.html#findOperation(org.opengis.referencing.crs.CoordinateReferenceSystem,org.opengis.referencing.crs.CoordinateReferenceSystem,org.opengis.metadata.extent.GeographicBoundingBox)">find the coordinate operation</a>
(generally from a pair of <var>source</var> and <var>target</var> CRS), then invoke
<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/CoordinateOperation.html?is-external=true#getMathTransform()" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Coordinate­Operation​.get­Math­Transform()</code></a>.
However sophisticated users can also create math transforms explicitly from a group of parameter values
using the <a href="DefaultMathTransformFactory.html" title="class in org.apache.sis.referencing.operation.transform">math
transform factory</a>.
<div class="section">Non-spatial coordinates</div>
<code>Math­Transform</code> usually performs conversions or transformations from points given in a
<a href="../AbstractCoordinateOperation.html#getSourceCRS()">source coordinate reference system</a> to coordinate values for the same points in the
<a href="../AbstractCoordinateOperation.html#getTargetCRS()">target coordinate reference system</a>. However the conversions are not necessarily between CRS;
a <code>Math­Transform</code> can also be used for converting the sample values in a raster for example.
Such kind of transforms are named <a href="TransferFunction.html" title="class in org.apache.sis.referencing.operation.transform">transfer functions</a>.</div>
<dl>
<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>0.5</dd>
<p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
</dl>
</section>
<ul class="blockList">
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<table class="typeSummary">
<caption><span>Interface Summary</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Interface</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
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<th class="colFirst" scope="row"><a href="LinearTransform.html" title="interface in org.apache.sis.referencing.operation.transform">LinearTransform</a></th>
<td class="colLast">
<div class="block">A usually affine, or otherwise a projective transform, which convert coordinates using only linear equations.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="MathTransformProvider.html" title="interface in org.apache.sis.referencing.operation.transform">MathTransformProvider</a></th>
<td class="colLast">
<div class="block">An object capable to create <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Math­Transform</code></a> instances from given parameter values.</div>
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<table class="typeSummary">
<caption><span>Class Summary</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Class</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></th>
<td class="colLast">
<div class="block">Provides a default implementation for most methods required by the <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Math­Transform</code></a> interface.</div>
</td>
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<th class="colFirst" scope="row"><a href="AbstractMathTransform.Inverse.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform.Inverse</a></th>
<td class="colLast">
<div class="block">Base class for implementations of inverse math transforms.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="AbstractMathTransform1D.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform1D</a></th>
<td class="colLast">
<div class="block">Base class for math transforms that are known to be one-dimensional in all cases.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="AbstractMathTransform1D.Inverse.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform1D.Inverse</a></th>
<td class="colLast">
<div class="block">Base class for implementation of inverse math transforms.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="AbstractMathTransform2D.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform2D</a></th>
<td class="colLast">
<div class="block">Base class for math transforms that are known to be two-dimensional in all cases.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="AbstractMathTransform2D.Inverse.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform2D.Inverse</a></th>
<td class="colLast">
<div class="block">Base class for implementation of inverse math transforms.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="ContextualParameters.html" title="class in org.apache.sis.referencing.operation.transform">ContextualParameters</a></th>
<td class="colLast">
<div class="block">The parameters that describe a sequence of
<cite>normalize</cite><cite>non-linear kernel</cite><cite>denormalize</cite> transforms as a whole.</div>
</td>
</tr>
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<th class="colFirst" scope="row"><a href="DatumShiftTransform.html" title="class in org.apache.sis.referencing.operation.transform">DatumShiftTransform</a></th>
<td class="colLast">
<div class="block">Transforms between two CRS (usually geographic) based on different datum.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="DefaultMathTransformFactory.html" title="class in org.apache.sis.referencing.operation.transform">DefaultMathTransformFactory</a></th>
<td class="colLast">
<div class="block">Low level factory for creating <a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">math transforms</a>.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="DefaultMathTransformFactory.Context.html" title="class in org.apache.sis.referencing.operation.transform">DefaultMathTransformFactory.Context</a></th>
<td class="colLast">
<div class="block">Source and target coordinate systems for which a new parameterized transform is going to be used.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="EllipsoidToCentricTransform.html" title="class in org.apache.sis.referencing.operation.transform">EllipsoidToCentricTransform</a></th>
<td class="colLast">
<div class="block">Transform from two- or three- dimensional ellipsoidal coordinates to (geo)centric coordinates.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="InterpolatedGeocentricTransform.html" title="class in org.apache.sis.referencing.operation.transform">InterpolatedGeocentricTransform</a></th>
<td class="colLast">
<div class="block">Transforms between two geographic CRS by performing geocentric translations interpolated from a grid file.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="InterpolatedMolodenskyTransform.html" title="class in org.apache.sis.referencing.operation.transform">InterpolatedMolodenskyTransform</a></th>
<td class="colLast">
<div class="block">Transforms between two geographic CRS by performing geocentric translations interpolated from a grid file, but using
Molodensky approximation.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="InterpolatedTransform.html" title="class in org.apache.sis.referencing.operation.transform">InterpolatedTransform</a></th>
<td class="colLast">
<div class="block">Transforms between two CRS by performing translations interpolated from a grid file.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="MathTransforms.html" title="class in org.apache.sis.referencing.operation.transform">MathTransforms</a></th>
<td class="colLast">
<div class="block">Utility methods creating or working on <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Math­Transform</code></a> instances.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="MolodenskyTransform.html" title="class in org.apache.sis.referencing.operation.transform">MolodenskyTransform</a></th>
<td class="colLast">
<div class="block">Two- or three-dimensional datum shift using the (potentially abridged) Molodensky transformation.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="PassThroughTransform.html" title="class in org.apache.sis.referencing.operation.transform">PassThroughTransform</a></th>
<td class="colLast">
<div class="block">Transform which passes through a subset of coordinates to another transform.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="TransferFunction.html" title="class in org.apache.sis.referencing.operation.transform">TransferFunction</a></th>
<td class="colLast">
<div class="block">The function converting raster <cite>sample values</cite> to <cite>geophysics values</cite>.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="TransformSeparator.html" title="class in org.apache.sis.referencing.operation.transform">TransformSeparator</a></th>
<td class="colLast">
<div class="block">Extracts a sub-transform from a given <code>Math­Transform</code> and source or target dimension indices.</div>
</td>
</tr>
</tbody>
</table>
</li>
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<caption><span>Enum Summary</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Enum</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="ContextualParameters.MatrixRole.html" title="enum in org.apache.sis.referencing.operation.transform">ContextualParameters.MatrixRole</a></th>
<td class="colLast">
<div class="block">Whether a matrix is used for <cite>normalization</cite> or <cite>denormalization</cite>
before or after a non-linear operation.</div>
</td>
</tr>
<tr class="rowColor">
<th class="colFirst" scope="row"><a href="EllipsoidToCentricTransform.TargetType.html" title="enum in org.apache.sis.referencing.operation.transform">EllipsoidToCentricTransform.TargetType</a></th>
<td class="colLast">
<div class="block">Whether the output coordinate system is Cartesian or Spherical.</div>
</td>
</tr>
<tr class="altColor">
<th class="colFirst" scope="row"><a href="IterationStrategy.html" title="enum in org.apache.sis.referencing.operation.transform">IterationStrategy</a></th>
<td class="colLast">
<div class="block">Strategy for iterating over the point arrays given to
<a href="AbstractMathTransform.html#transform(double%5B%5D,int,double%5B%5D,int,int)"><code>Abstract­Math­Transform​.transform(…)</code></a> methods.</div>
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