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<div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.operation.projection</a></div>
<h2 title="Class TransverseMercator" class="title">Class TransverseMercator</h2>
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<li><a href="../transform/AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></li>
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<li><a href="../transform/AbstractMathTransform2D.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform2D</a></li>
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<li><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></li>
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<li>TransverseMercator</li>
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<pre>public class <span class="typeNameLabel">TransverseMercator</span>
extends <a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></pre>
<div class="block"><cite>Transverse Mercator</cite> projection (EPSG codes 9807).
This class implements the "JHS formulas" reproduced in
IOGP Publication 373-7-2 – Geomatics Guidance Note number 7, part 2 – April 2015.
<div class="section">Description</div>
This is a cylindrical projection, in which the cylinder has been rotated 90°.
Instead of being tangent to the equator (or to an other standard latitude), it is tangent to a central meridian.
Deformation are more important as we are going further from the central meridian.
The Transverse Mercator projection is appropriate for region which have a greater extent north-south than east-west.
<p>There are a number of versions of the Transverse Mercator projection including the Universal (UTM)
and Modified (MTM) Transverses Mercator projections. In these cases the earth is divided into zones.
For the UTM the zones are 6 degrees wide, numbered from 1 to 60 proceeding east from 180 degrees longitude,
and between latitude 84 degrees North and 80 degrees South. The central meridian is taken as the center of the zone
and the latitude of origin is the equator. A scale factor of 0.9996 and false easting of 500000 metres is used for
all zones and a false northing of 10000000 metres is used for zones in the southern hemisphere.</div>
<dl>
<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>0.6</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="Mercator.html" title="class in org.apache.sis.referencing.operation.projection"><code>Mercator</code></a>,
<a href="ObliqueMercator.html" title="class in org.apache.sis.referencing.operation.projection"><code>Oblique­Mercator</code></a>,
<a href="../../../../../../serialized-form.html#org.apache.sis.referencing.operation.projection.TransverseMercator">Serialized Form</a></dd>
<p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
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<code><a href="NormalizedProjection.ParameterRole.html" title="enum in org.apache.sis.referencing.operation.projection">Normalized­Projection​.Parameter­Role</a></code></li>
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<code><a href="NormalizedProjection.html#eccentricity">eccentricity</a>, <a href="NormalizedProjection.html#eccentricitySquared">eccentricity­Squared</a></code></li>
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<th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E(org.opengis.referencing.operation.OperationMethod,org.apache.sis.parameter.Parameters)">TransverseMercator</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/OperationMethod.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">OperationMethod</a>&nbsp;method,
<a href="../../../parameter/Parameters.html" title="class in org.apache.sis.parameter">Parameters</a>&nbsp;parameters)</code></th>
<td class="colLast">
<div class="block">Creates a Transverse Mercator projection from the given parameters.</div>
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<td class="colFirst"><code><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">MathTransform</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#createMapProjection(org.opengis.referencing.operation.MathTransformFactory)">createMapProjection</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransformFactory.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransformFactory</a>&nbsp;factory)</code></th>
<td class="colLast">
<div class="block">Returns the sequence of <cite>normalization</cite><code>this</code><cite>denormalization</cite> transforms
as a whole.</div>
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<tr id="i1" class="rowColor">
<td class="colFirst"><code>protected void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#inverseTransform(double%5B%5D,int,double%5B%5D,int)">inverseTransform</a></span>&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff)</code></th>
<td class="colLast">
<div class="block">Transforms the specified (η, ξ) coordinates and stores the result in <code>dst­Pts</code> (angles in radians).</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/Matrix.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Matrix</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#transform(double%5B%5D,int,double%5B%5D,int,boolean)">transform</a></span>&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff,
boolean&nbsp;derivate)</code></th>
<td class="colLast">
<div class="block">Converts the specified (λ,φ) coordinate (units in radians) and stores the result in <code>dst­Pts</code>.</div>
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<h3>Methods inherited from class&nbsp;<a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></h3>
<code><a href="NormalizedProjection.html#computeHashCode()">compute­Hash­Code</a>, <a href="NormalizedProjection.html#equals(java.lang.Object,org.apache.sis.util.ComparisonMode)">equals</a>, <a href="NormalizedProjection.html#getContextualParameters()">get­Contextual­Parameters</a>, <a href="NormalizedProjection.html#getParameterDescriptors()">get­Parameter­Descriptors</a>, <a href="NormalizedProjection.html#getParameterValues()">get­Parameter­Values</a>, <a href="NormalizedProjection.html#inverse()">inverse</a>, <a href="NormalizedProjection.html#tryConcatenate(boolean,org.opengis.referencing.operation.MathTransform,org.opengis.referencing.operation.MathTransformFactory)">try­Concatenate</a></code></li>
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<code><a href="../transform/AbstractMathTransform2D.html#createTransformedShape(java.awt.Shape)">create­Transformed­Shape</a>, <a href="../transform/AbstractMathTransform2D.html#derivative(java.awt.geom.Point2D)">derivative</a>, <a href="../transform/AbstractMathTransform2D.html#getSourceDimensions()">get­Source­Dimensions</a>, <a href="../transform/AbstractMathTransform2D.html#getTargetDimensions()">get­Target­Dimensions</a>, <a href="../transform/AbstractMathTransform2D.html#transform(java.awt.geom.Point2D,java.awt.geom.Point2D)">transform</a></code></li>
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<h3>Methods inherited from interface&nbsp;<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">MathTransform</a></h3>
<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#derivative(org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="externalLink">derivative</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#isIdentity()" title="class or interface in org.opengis.referencing.operation" class="externalLink">is­Identity</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#toWKT()" title="class or interface in org.opengis.referencing.operation" class="externalLink">to­WKT</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(double%5B%5D,int,double%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(double%5B%5D,int,float%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(float%5B%5D,int,double%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(float%5B%5D,int,float%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a></code></li>
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<h4>TransverseMercator</h4>
<pre>public&nbsp;TransverseMercator&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/OperationMethod.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">OperationMethod</a>&nbsp;method,
<a href="../../../parameter/Parameters.html" title="class in org.apache.sis.parameter">Parameters</a>&nbsp;parameters)</pre>
<div class="block">Creates a Transverse Mercator projection from the given parameters.
The <code>method</code> argument can be the description of one of the following:
<ul>
<li><cite>"Transverse Mercator"</cite>.</li>
<li><cite>"Transverse Mercator (South Orientated)"</cite>.</li>
</ul></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>method</code> - description of the projection parameters.</dd>
<dd><code>parameters</code> - the parameter values of the projection to create.</dd>
</dl>
</li>
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<h3>Method Detail</h3>
<a id="createMapProjection(org.opengis.referencing.operation.MathTransformFactory)">
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<h4>createMapProjection</h4>
<pre class="methodSignature">public&nbsp;<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">MathTransform</a>&nbsp;createMapProjection&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransformFactory.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransformFactory</a>&nbsp;factory)
throws <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/util/FactoryException.html?is-external=true" title="class or interface in org.opengis.util" class="externalLink">FactoryException</a></pre>
<div class="block">Returns the sequence of <cite>normalization</cite><code>this</code><cite>denormalization</cite> transforms
as a whole. The transform returned by this method expects (<var>longitude</var>, <var>latitude</var>)
coordinates in <em>degrees</em> and returns (<var>x</var>,<var>y</var>) coordinates in <em>metres</em>.
<p>The non-linear part of the returned transform will be <code>this</code> transform, except if the ellipsoid
is spherical. In the later case, <code>this</code> transform will be replaced by a simplified implementation.</p></div>
<dl>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="NormalizedProjection.html#createMapProjection(org.opengis.referencing.operation.MathTransformFactory)">create­Map­Projection</a></code>&nbsp;in class&nbsp;<code><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">Normalized­Projection</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>factory</code> - the factory to use for creating the transform.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the map projection from (λ,φ) to (<var>x</var>,<var>y</var>) coordinates.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/util/FactoryException.html?is-external=true" title="class or interface in org.opengis.util" class="externalLink">Factory­Exception</a></code> - if an error occurred while creating a transform.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../transform/ContextualParameters.html#completeTransform(org.opengis.referencing.operation.MathTransformFactory,org.opengis.referencing.operation.MathTransform)"><code>Contextual­Parameters​.complete­Transform(Math­Transform­Factory, Math­Transform)</code></a></dd>
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<h4>transform</h4>
<pre class="methodSignature">public&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/Matrix.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Matrix</a>&nbsp;transform&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff,
boolean&nbsp;derivate)
throws <a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></pre>
<div class="block">Converts the specified (λ,φ) coordinate (units in radians) and stores the result in <code>dst­Pts</code>.
In addition, opportunistically computes the projection derivative if <code>derivate</code> is <code>true</code>.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="NormalizedProjection.html#transform(double%5B%5D,int,double%5B%5D,int,boolean)">transform</a></code>&nbsp;in class&nbsp;<code><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">Normalized­Projection</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>src­Pts</code> - the array containing the source point coordinate, as (<var>longitude</var>, <var>latitude</var>)
angles in <strong>radians</strong>.</dd>
<dd><code>src­Off</code> - the offset of the single coordinate to be converted in the source array.</dd>
<dd><code>dst­Pts</code> - the array into which the converted coordinate is returned (may be the same than <code>src­Pts</code>).
Coordinates will be expressed in a dimensionless unit, as a linear distance on a unit sphere or ellipse.</dd>
<dd><code>dst­Off</code> - the offset of the location of the converted coordinate that is stored in the destination array.</dd>
<dd><code>derivate</code> - <code>true</code> for computing the derivative, or <code>false</code> if not needed.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the matrix of the projection derivative at the given source position,
or <code>null</code> if the <code>derivate</code> argument is <code>false</code>.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">Projection­Exception</a></code> - if the coordinate can not be converted.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../transform/AbstractMathTransform.html#derivative(org.opengis.geometry.DirectPosition)"><code>Abstract­Math­Transform​.derivative(Direct­Position)</code></a>,
<a href="../transform/AbstractMathTransform.html#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)"><code>Abstract­Math­Transform​.transform(Direct­Position, Direct­Position)</code></a>,
<a href="../transform/MathTransforms.html#derivativeAndTransform(org.opengis.referencing.operation.MathTransform,double%5B%5D,int,double%5B%5D,int)"><code>Math­Transforms​.derivative­And­Transform(Math­Transform, double[], int, double[], int)</code></a></dd>
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<h4>inverseTransform</h4>
<pre class="methodSignature">protected&nbsp;void&nbsp;inverseTransform&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff)
throws <a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></pre>
<div class="block">Transforms the specified (η, ξ) coordinates and stores the result in <code>dst­Pts</code> (angles in radians).</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="NormalizedProjection.html#inverseTransform(double%5B%5D,int,double%5B%5D,int)">inverse­Transform</a></code>&nbsp;in class&nbsp;<code><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">Normalized­Projection</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>src­Pts</code> - the array containing the source point coordinate, as linear distance on a unit sphere or ellipse.</dd>
<dd><code>src­Off</code> - the offset of the point to be converted in the source array.</dd>
<dd><code>dst­Pts</code> - the array into which the converted point coordinate is returned (may be the same than <code>src­Pts</code>).
Coordinates will be (<var>longitude</var>, <var>latitude</var>) angles in <strong>radians</strong>.</dd>
<dd><code>dst­Off</code> - the offset of the location of the converted point that is stored in the destination array.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">Projection­Exception</a></code> - if the point can not be converted.</dd>
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