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<div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.geometry</a></div>
<h2 title="Class Shapes2D" class="title">Class Shapes2D</h2>
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<pre>public final class <span class="typeNameLabel">Shapes2D</span>
extends <a href="../util/Static.html" title="class in org.apache.sis.util">Static</a></pre>
<div class="block">Utility methods working on Java2D shapes.
The <code>transform(…)</code> methods in this class work in the same way than the methods of the same signature
in <a href="Envelopes.html" title="class in org.apache.sis.geometry"><code>Envelopes</code></a>, except that they work on <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink"><code>Rectangle2D</code></a> objects instead than <code>Envelope</code>.
In particular, the same treatment for curvatures and poles is applied.</div>
<dl>
<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>0.8</dd>
<p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
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<h3>Method Summary</h3>
<table class="memberSummary">
<caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd">&nbsp;</span></span><span id="t1" class="tableTab"><span><a href="javascript:show(1);">Static Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd">&nbsp;</span></span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colSecond" scope="col">Method</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tr id="i0" class="altColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Ellipse2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Ellipse2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#circle(java.awt.geom.Point2D,java.awt.geom.Point2D,java.awt.geom.Point2D)">circle</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;P1,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;P2,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;P3)</code></th>
<td class="colLast">
<div class="block">Returns a circle passing by the 3 given points.</div>
</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#colinearPoint(java.awt.geom.Line2D,java.awt.geom.Point2D,double)">colinearPoint</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;line,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;point,
double&nbsp;distance)</code></th>
<td class="colLast">
<div class="block">Returns a point on the given <code>line</code> segment located at the given <code>distance</code> from that line.</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#intersectionPoint(java.awt.geom.Line2D,java.awt.geom.Line2D)">intersectionPoint</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;a,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;b)</code></th>
<td class="colLast">
<div class="block">Returns the intersection point between two line segments.</div>
</td>
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<tr id="i3" class="rowColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nearestColinearPoint(java.awt.geom.Line2D,java.awt.geom.Point2D)">nearestColinearPoint</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;segment,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;point)</code></th>
<td class="colLast">
<div class="block">Returns the point on the given <code>line</code> segment which is closest to the given <code>point</code>.</div>
</td>
</tr>
<tr id="i4" class="altColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#transform(org.opengis.referencing.operation.CoordinateOperation,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)">transform</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/CoordinateOperation.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">CoordinateOperation</a>&nbsp;operation,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;envelope,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;destination)</code></th>
<td class="colLast">
<div class="block">Transforms a rectangular envelope using the given coordinate operation.</div>
</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#transform(org.opengis.referencing.operation.MathTransform2D,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)">transform</a></span>&#8203;(<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">MathTransform2D</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;envelope,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;destination)</code></th>
<td class="colLast">
<div class="block">Transforms a rectangular envelope using the given math transform.</div>
</td>
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<h3>Methods inherited from class&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang" class="externalLink">Object</a></h3>
<code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang" class="externalLink">clone</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang" class="externalLink">equals</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang" class="externalLink">finalize</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang" class="externalLink">get­Class</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang" class="externalLink">hash­Code</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang" class="externalLink">notify</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang" class="externalLink">notify­All</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang" class="externalLink">to­String</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang" class="externalLink">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang" class="externalLink">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait(long,int)" title="class or interface in java.lang" class="externalLink">wait</a></code></li>
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<h4>intersectionPoint</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;intersectionPoint&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;a,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;b)</pre>
<div class="block">Returns the intersection point between two line segments. The lines do not continue to infinity;
if the intersection does not occur between the ending points <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true#getP1()" title="class or interface in java.awt.geom" class="externalLink">P1</a> and
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true#getP2()" title="class or interface in java.awt.geom" class="externalLink">P2</a> of the two line segments, then this method returns <code>null</code>.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>a</code> - the first line segment.</dd>
<dd><code>b</code> - the second line segment.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the intersection point, or <code>null</code> if none.</dd>
</dl>
</li>
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<h4>nearestColinearPoint</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;nearestColinearPoint&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;segment,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;point)</pre>
<div class="block">Returns the point on the given <code>line</code> segment which is closest to the given <code>point</code>.
Let <code>result</code> be the returned point. This method guarantees (except for rounding errors) that:
<ul>
<li><code>result</code> is a point on the <code>line</code> segment. It is located between
the <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true#getP1()" title="class or interface in java.awt.geom" class="externalLink">P1</a> and <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true#getP2()" title="class or interface in java.awt.geom" class="externalLink">P2</a> ending
points of that line segment.</li>
<li>The distance between the <code>result</code> point and the given <code>point</code> is
the shortest distance among the set of points meeting the previous condition.
This distance can be obtained with <code>point​.distance(result)</code>.</li>
</ul></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>segment</code> - the line on which to search for a point.</dd>
<dd><code>point</code> - a point close to the given line.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the nearest point on the given line.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="#colinearPoint(java.awt.geom.Line2D,java.awt.geom.Point2D,double)"><code>colinear­Point(Line2D, Point2D, double)</code></a></dd>
</dl>
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<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;colinearPoint&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Line2D</a>&nbsp;line,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;point,
double&nbsp;distance)</pre>
<div class="block">Returns a point on the given <code>line</code> segment located at the given <code>distance</code> from that line.
Let <code>result</code> be the returned point. If <code>result</code> is not null, then this method guarantees
(except for rounding error) that:
<ul>
<li><code>result</code> is a point on the <code>line</code> segment. It is located between
the <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true#getP1()" title="class or interface in java.awt.geom" class="externalLink">P1</a> and <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Line2D.html?is-external=true#getP2()" title="class or interface in java.awt.geom" class="externalLink">P2</a> ending
points of that line segment.</li>
<li>The distance between the <code>result</code> and the given <code>point</code> is exactly
equal to <code>distance</code>.</li>
</ul>
If no result point meets those conditions, then this method returns <code>null</code>.
If two result points met those conditions, then this method returns the point
which is the closest to <code>line​.get­P1()</code>.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>line</code> - the line on which to search for a point.</dd>
<dd><code>point</code> - a point close to the given line.</dd>
<dd><code>distance</code> - the distance between the given point and the point to be returned.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>a point on the given line located at the given distance from the given point.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="#nearestColinearPoint(java.awt.geom.Line2D,java.awt.geom.Point2D)"><code>nearest­Colinear­Point(Line2D, Point2D)</code></a></dd>
</dl>
</li>
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<h4>circle</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Ellipse2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Ellipse2D</a>&nbsp;circle&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;P1,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;P2,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;P3)</pre>
<div class="block">Returns a circle passing by the 3 given points.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>P1</code> - the first point.</dd>
<dd><code>P2</code> - the second point.</dd>
<dd><code>P3</code> - the third point.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>a circle passing by the given points.</dd>
</dl>
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<h4>transform</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;transform&#8203;(<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">MathTransform2D</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;envelope,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;destination)
throws <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/TransformException.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">TransformException</a></pre>
<div class="block">Transforms a rectangular envelope using the given math transform.
The transformation is only approximated: the returned envelope may be bigger than
necessary, or smaller than required if the bounding box contains a pole.
<p>Note that this method can not handle the case where the rectangle contains the North or South pole,
or when it cross the ±180° longitude, because <code>Math­Transform</code> does not carry sufficient information.
For a more robust rectangle transformation, use <a href="#transform(org.opengis.referencing.operation.CoordinateOperation,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)"><code>transform(Coordinate­Operation, Rectangle2D, Rectangle2D)</code></a>
instead.</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the transform to use. Source and target dimension must be 2.</dd>
<dd><code>envelope</code> - the rectangle to transform (may be <code>null</code>).</dd>
<dd><code>destination</code> - the destination rectangle (may be <code>envelope</code>).
If <code>null</code>, a new rectangle will be created and returned.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd><code>destination</code>, or a new rectangle if <code>destination</code> was non-null and <code>envelope</code> was null.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/TransformException.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Transform­Exception</a></code> - if a transform failed.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="#transform(org.opengis.referencing.operation.CoordinateOperation,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)"><code>transform(Coordinate­Operation, Rectangle2D, Rectangle2D)</code></a>,
<a href="Envelopes.html#transform(org.opengis.referencing.operation.MathTransform,org.opengis.geometry.Envelope)"><code>Envelopes​.transform(Math­Transform, Envelope)</code></a></dd>
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<h4>transform</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;transform&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/CoordinateOperation.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">CoordinateOperation</a>&nbsp;operation,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;envelope,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;destination)
throws <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/TransformException.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">TransformException</a></pre>
<div class="block">Transforms a rectangular envelope using the given coordinate operation.
The transformation is only approximated: the returned envelope may be bigger
than the smallest possible bounding box, but should not be smaller in most cases.
<p>This method can handle the case where the rectangle contains the North or South pole,
or when it cross the ±180° longitude.</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>operation</code> - the operation to use. Source and target dimension must be 2.</dd>
<dd><code>envelope</code> - the rectangle to transform (may be <code>null</code>).</dd>
<dd><code>destination</code> - the destination rectangle (may be <code>envelope</code>).
If <code>null</code>, a new rectangle will be created and returned.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd><code>destination</code>, or a new rectangle if <code>destination</code> was non-null and <code>envelope</code> was null.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/TransformException.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Transform­Exception</a></code> - if a transform failed.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="#transform(org.opengis.referencing.operation.MathTransform2D,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)"><code>transform(Math­Transform2D, Rectangle2D, Rectangle2D)</code></a>,
<a href="Envelopes.html#transform(org.opengis.referencing.operation.CoordinateOperation,org.opengis.geometry.Envelope)"><code>Envelopes​.transform(Coordinate­Operation, Envelope)</code></a></dd>
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