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| <div class="subTitle">org.apache.commons.math3.geometry.partitioning</div> |
| <h2 title="Interface Transform" class="title">Interface Transform<S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>,T extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>></h2> |
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| <dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>S</code> - Type of the embedding space.</dd><dd><code>T</code> - Type of the embedded sub-space.</dd></dl> |
| <hr> |
| <br> |
| <pre>public interface <span class="strong">Transform<S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>,T extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>></span></pre> |
| <div class="block">This interface represents an inversible affine transform in a space. |
| <p>Inversible affine transform include for example scalings, |
| translations, rotations.</p> |
| |
| <p>Transforms are dimension-specific. The consistency rules between |
| the three <code>apply</code> methods are the following ones for a |
| transformed defined for dimension D:</p> |
| <ul> |
| <li> |
| the transform can be applied to a point in the |
| D-dimension space using its <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.Point)"><code>apply(Point)</code></a> |
| method |
| </li> |
| <li> |
| the transform can be applied to a (D-1)-dimension |
| hyperplane in the D-dimension space using its |
| <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.partitioning.Hyperplane)"><code>apply(Hyperplane)</code></a> method |
| </li> |
| <li> |
| the transform can be applied to a (D-2)-dimension |
| sub-hyperplane in a (D-1)-dimension hyperplane using |
| its <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.partitioning.SubHyperplane, org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Hyperplane)"><code>apply(SubHyperplane, Hyperplane, Hyperplane)</code></a> |
| method |
| </li> |
| </ul></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.0</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: Transform.java 1554646 2014-01-01 17:22:53Z luc $</dd></dl> |
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| <h3>Method Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> |
| <caption><span>Methods</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Method and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.partitioning.Hyperplane)">apply</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> hyperplane)</code> |
| <div class="block">Transform an hyperplane of a space.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.Point)">apply</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> point)</code> |
| <div class="block">Transform a point of a space.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">T</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html#apply(org.apache.commons.math3.geometry.partitioning.SubHyperplane, org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Hyperplane)">apply</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">T</a>> sub, |
| <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> original, |
| <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> transformed)</code> |
| <div class="block">Transform a sub-hyperplane embedded in an hyperplane.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| </li> |
| </ul> |
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| <a name="apply(org.apache.commons.math3.geometry.Point)"> |
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| <h4>apply</h4> |
| <pre><a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> apply(<a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> point)</pre> |
| <div class="block">Transform a point of a space.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - point to transform</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>a new object representing the transformed point</dd></dl> |
| </li> |
| </ul> |
| <a name="apply(org.apache.commons.math3.geometry.partitioning.Hyperplane)"> |
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| <h4>apply</h4> |
| <pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> apply(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> hyperplane)</pre> |
| <div class="block">Transform an hyperplane of a space.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>hyperplane</code> - hyperplane to transform</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>a new object representing the transformed hyperplane</dd></dl> |
| </li> |
| </ul> |
| <a name="apply(org.apache.commons.math3.geometry.partitioning.SubHyperplane, org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Hyperplane)"> |
| <!-- --> |
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| <h4>apply</h4> |
| <pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">T</a>> apply(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">T</a>> sub, |
| <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> original, |
| <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="type parameter in Transform">S</a>> transformed)</pre> |
| <div class="block">Transform a sub-hyperplane embedded in an hyperplane.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>sub</code> - sub-hyperplane to transform</dd><dd><code>original</code> - hyperplane in which the sub-hyperplane is |
| defined (this is the original hyperplane, the transform has |
| <em>not</em> been applied to it)</dd><dd><code>transformed</code> - hyperplane in which the sub-hyperplane is |
| defined (this is the transformed hyperplane, the transform |
| <em>has</em> been applied to it)</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>a new object representing the transformed sub-hyperplane</dd></dl> |
| </li> |
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