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| <div class="subTitle">org.apache.commons.math3.geometry.partitioning</div> |
| <h2 title="Interface Embedding" class="title">Interface Embedding<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> |
| <dl> |
| <dt>All Known Implementing Classes:</dt> |
| <dd><a href="../../../../../../org/apache/commons/math3/geometry/spherical/twod/Circle.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Circle</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Plane.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Plane</a></dd> |
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| <pre>public interface <span class="strong">Embedding<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 defines mappers between a space and one of its sub-spaces. |
| |
| <p>Sub-spaces are the lower dimensions subsets of a n-dimensions |
| space. The (n-1)-dimension sub-spaces are specific sub-spaces known |
| as <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>hyperplanes</code></a>. This interface can be used regardless |
| of the dimensions differences. As an example, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed"><code>Line</code></a> in 3D |
| implements Embedding<<a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed"><code>Vector3D</code></a>, {link |
| org.apache.commons.math3.geometry.euclidean.oned.Vector1D Vector1D>, i.e. it |
| maps directly dimensions 3 and 1.</p> |
| |
| <p>In the 3D euclidean space, hyperplanes are 2D planes, and the 1D |
| sub-spaces are lines.</p> |
| |
| <p> |
| Note that this interface is <em>not</em> intended to be implemented |
| by Apache Commons Math users, it is only intended to be implemented |
| within the library itself. New methods may be added even for minor |
| versions, which breaks compatibility for external implementations. |
| </p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.0</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: Embedding.java 1591835 2014-05-02 09:04:01Z tn $</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>Hyperplane</code></a></dd></dl> |
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| <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/Embedding.html" title="type parameter in Embedding">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)">toSpace</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/Embedding.html" title="type parameter in Embedding">T</a>> point)</code> |
| <div class="block">Transform a sub-space point into a space point.</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/Embedding.html" title="type parameter in Embedding">T</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)">toSubSpace</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/Embedding.html" title="type parameter in Embedding">S</a>> point)</code> |
| <div class="block">Transform a space point into a sub-space point.</div> |
| </td> |
| </tr> |
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| <a name="toSubSpace(org.apache.commons.math3.geometry.Point)"> |
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| <h4>toSubSpace</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/Embedding.html" title="type parameter in Embedding">T</a>> toSubSpace(<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/Embedding.html" title="type parameter in Embedding">S</a>> point)</pre> |
| <div class="block">Transform a space point into a sub-space point.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - n-dimension point of the space</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>(n-1)-dimension point of the sub-space corresponding to |
| the specified space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)"><code>toSpace(org.apache.commons.math3.geometry.Point<T>)</code></a></dd></dl> |
| </li> |
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| <a name="toSpace(org.apache.commons.math3.geometry.Point)"> |
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| <h4>toSpace</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/Embedding.html" title="type parameter in Embedding">S</a>> toSpace(<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/Embedding.html" title="type parameter in Embedding">T</a>> point)</pre> |
| <div class="block">Transform a sub-space point into a space point.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - (n-1)-dimension point of the sub-space</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>n-dimension point of the space corresponding to the |
| specified sub-space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)"><code>toSubSpace(org.apache.commons.math3.geometry.Point<S>)</code></a></dd></dl> |
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