| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> |
| <title>Hyperplane (Apache Commons Math 3.3 API)</title> |
| <link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style"> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="Hyperplane (Apache Commons Math 3.3 API)"; |
| } |
| //--> |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar_top"> |
| <!-- --> |
| </a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/Hyperplane.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../index.html?org/apache/commons/math3/geometry/partitioning/Hyperplane.html" target="_top">Frames</a></li> |
| <li><a href="Hyperplane.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li>Field | </li> |
| <li>Constr | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li>Constr | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <!-- ======== START OF CLASS DATA ======== --> |
| <div class="header"> |
| <div class="subTitle">org.apache.commons.math3.geometry.partitioning</div> |
| <h2 title="Interface Hyperplane" class="title">Interface Hyperplane<S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>></h2> |
| </div> |
| <div class="contentContainer"> |
| <div class="description"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>S</code> - Type of the 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/spherical/oned/LimitAngle.html" title="class in org.apache.commons.math3.geometry.spherical.oned">LimitAngle</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/oned/OrientedPoint.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">OrientedPoint</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> |
| </dl> |
| <hr> |
| <br> |
| <pre>public interface <span class="strong">Hyperplane<S 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 hyperplane of a space. |
| |
| <p>The most prominent place where hyperplane appears in space |
| partitioning is as cutters. Each partitioning node in a <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning"><code>BSP tree</code></a> has a cut <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>sub-hyperplane</code></a> |
| which is either an hyperplane or a part of an hyperplane. In an |
| n-dimensions euclidean space, an hyperplane is an (n-1)-dimensions |
| hyperplane (for example a traditional plane in the 3D euclidean |
| space). They can be more exotic objects in specific fields, for |
| example a circle on the surface of the unit sphere.</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: Hyperplane.java 1566416 2014-02-09 20:56:55Z luc $</dd></dl> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ========== METHOD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_summary"> |
| <!-- --> |
| </a> |
| <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/Hyperplane.html" title="type parameter in Hyperplane">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#copySelf()">copySelf</a></strong>()</code> |
| <div class="block">Copy the instance.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#getOffset(org.apache.commons.math3.geometry.Point)">getOffset</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> point)</code> |
| <div class="block">Get the offset (oriented distance) of a point.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#getTolerance()">getTolerance</a></strong>()</code> |
| <div class="block">Get the tolerance below which points are considered to belong to the hyperplane.</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#project(org.apache.commons.math3.geometry.Point)">project</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> point)</code> |
| <div class="block">Project a point to the hyperplane.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#sameOrientationAs(org.apache.commons.math3.geometry.partitioning.Hyperplane)">sameOrientationAs</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> other)</code> |
| <div class="block">Check if the instance has the same orientation as another hyperplane.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <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/Hyperplane.html" title="type parameter in Hyperplane">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#wholeHyperplane()">wholeHyperplane</a></strong>()</code> |
| <div class="block">Build a sub-hyperplane covering the whole hyperplane.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="type parameter in Hyperplane">S</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html#wholeSpace()">wholeSpace</a></strong>()</code> |
| <div class="block">Build a region covering the whole space.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="copySelf()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>copySelf</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> copySelf()</pre> |
| <div class="block">Copy the instance. |
| <p>The instance created is completely independant of the original |
| one. A deep copy is used, none of the underlying objects are |
| shared (except for immutable objects).</p></div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a new hyperplane, copy of the instance</dd></dl> |
| </li> |
| </ul> |
| <a name="getOffset(org.apache.commons.math3.geometry.Point)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getOffset</h4> |
| <pre>double getOffset(<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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> point)</pre> |
| <div class="block">Get the offset (oriented distance) of a point. |
| <p>The offset is 0 if the point is on the underlying hyperplane, |
| it is positive if the point is on one particular side of the |
| hyperplane, and it is negative if the point is on the other side, |
| according to the hyperplane natural orientation.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - point to check</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>offset of the point</dd></dl> |
| </li> |
| </ul> |
| <a name="project(org.apache.commons.math3.geometry.Point)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>project</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> project(<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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> point)</pre> |
| <div class="block">Project a point to the hyperplane.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - point to project</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>projected point</dd><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd></dl> |
| </li> |
| </ul> |
| <a name="getTolerance()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getTolerance</h4> |
| <pre>double getTolerance()</pre> |
| <div class="block">Get the tolerance below which points are considered to belong to the hyperplane.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>tolerance below which points are considered to belong to the hyperplane</dd><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd></dl> |
| </li> |
| </ul> |
| <a name="sameOrientationAs(org.apache.commons.math3.geometry.partitioning.Hyperplane)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>sameOrientationAs</h4> |
| <pre>boolean sameOrientationAs(<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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> other)</pre> |
| <div class="block">Check if the instance has the same orientation as another hyperplane. |
| <p>This method is expected to be called on parallel hyperplanes. The |
| method should <em>not</em> re-check for parallelism, only for |
| orientation, typically by testing something like the sign of the |
| dot-products of normals.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - other hyperplane to check against the instance</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>true if the instance and the other hyperplane have |
| the same orientation</dd></dl> |
| </li> |
| </ul> |
| <a name="wholeHyperplane()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>wholeHyperplane</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/Hyperplane.html" title="type parameter in Hyperplane">S</a>> wholeHyperplane()</pre> |
| <div class="block">Build a sub-hyperplane covering the whole hyperplane.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a sub-hyperplane covering the whole hyperplane</dd></dl> |
| </li> |
| </ul> |
| <a name="wholeSpace()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>wholeSpace</h4> |
| <pre><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a><<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="type parameter in Hyperplane">S</a>> wholeSpace()</pre> |
| <div class="block">Build a region covering the whole space.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a region containing the instance</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| </div> |
| <!-- ========= END OF CLASS DATA ========= --> |
| <!-- ======= START OF BOTTOM NAVBAR ====== --> |
| <div class="bottomNav"><a name="navbar_bottom"> |
| <!-- --> |
| </a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/Hyperplane.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../index.html?org/apache/commons/math3/geometry/partitioning/Hyperplane.html" target="_top">Frames</a></li> |
| <li><a href="Hyperplane.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_bottom"> |
| <li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_bottom"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li>Field | </li> |
| <li>Constr | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li>Constr | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_bottom"> |
| <!-- --> |
| </a></div> |
| <!-- ======== END OF BOTTOM NAVBAR ======= --> |
| <p class="legalCopy"><small>Copyright © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |
