| <!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>SphericalPolygonsSet (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="SphericalPolygonsSet (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/SphericalPolygonsSet.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/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SubCircle.html" title="class in org.apache.commons.math3.geometry.spherical.twod"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../../index.html?org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html" target="_top">Frames</a></li> |
| <li><a href="SphericalPolygonsSet.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><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li><a href="#constructor_detail">Constr</a> | </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.spherical.twod</div> |
| <h2 title="Class SphericalPolygonsSet" class="title">Class SphericalPolygonsSet</h2> |
| </div> |
| <div class="contentContainer"> |
| <ul class="inheritance"> |
| <li><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> |
| <li> |
| <ul class="inheritance"> |
| <li><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html" title="class in org.apache.commons.math3.geometry.partitioning">org.apache.commons.math3.geometry.partitioning.AbstractRegion</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/oned/Sphere1D.html" title="class in org.apache.commons.math3.geometry.spherical.oned">Sphere1D</a>></li> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.commons.math3.geometry.spherical.twod.SphericalPolygonsSet</li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <dl> |
| <dt>All Implemented Interfaces:</dt> |
| <dd><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/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>></dd> |
| </dl> |
| <hr> |
| <br> |
| <pre>public class <span class="strong">SphericalPolygonsSet</span> |
| extends <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractRegion</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/oned/Sphere1D.html" title="class in org.apache.commons.math3.geometry.spherical.oned">Sphere1D</a>></pre> |
| <div class="block">This class represents a region on the 2-sphere: a set of spherical polygons.</div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: SphericalPolygonsSet.java 1591835 2014-05-02 09:04:01Z tn $</dd></dl> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ======== NESTED CLASS SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="nested_class_summary"> |
| <!-- --> |
| </a> |
| <h3>Nested Class Summary</h3> |
| <ul class="blockList"> |
| <li class="blockList"><a name="nested_classes_inherited_from_class_org.apache.commons.math3.geometry.partitioning.Region"> |
| <!-- --> |
| </a> |
| <h3>Nested classes/interfaces inherited from interface org.apache.commons.math3.geometry.partitioning.<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a></h3> |
| <code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Region.Location.html" title="enum in org.apache.commons.math3.geometry.partitioning">Region.Location</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_summary"> |
| <!-- --> |
| </a> |
| <h3>Constructor Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colOne" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(org.apache.commons.math3.geometry.partitioning.BSPTree, double)">SphericalPolygonsSet</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning">BSPTree</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>> tree, |
| double tolerance)</code> |
| <div class="block">Build a polygons set from a BSP tree.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(java.util.Collection, double)">SphericalPolygonsSet</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><<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/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>>> boundary, |
| double tolerance)</code> |
| <div class="block">Build a polygons set from a Boundary REPresentation (B-rep).</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(double)">SphericalPolygonsSet</a></strong>(double tolerance)</code> |
| <div class="block">Build a polygons set representing the whole real 2-sphere.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(double, org.apache.commons.math3.geometry.spherical.twod.S2Point...)">SphericalPolygonsSet</a></strong>(double hyperplaneThickness, |
| <a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/S2Point.html" title="class in org.apache.commons.math3.geometry.spherical.twod">S2Point</a>... vertices)</code> |
| <div class="block">Build a polygon from a simple list of vertices.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double)">SphericalPolygonsSet</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> pole, |
| double tolerance)</code> |
| <div class="block">Build a polygons set representing a hemisphere.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, int, double)">SphericalPolygonsSet</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> center, |
| <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> meridian, |
| double outsideRadius, |
| int n, |
| double tolerance)</code> |
| <div class="block">Build a polygons set representing a regular polygon.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== 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/spherical/twod/SphericalPolygonsSet.html" title="class in org.apache.commons.math3.geometry.spherical.twod">SphericalPolygonsSet</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#buildNew(org.apache.commons.math3.geometry.partitioning.BSPTree)">buildNew</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning">BSPTree</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>> tree)</code> |
| <div class="block">Build a region using the instance as a prototype.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>protected void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#computeGeometricalProperties()">computeGeometricalProperties</a></strong>()</code> |
| <div class="block">Compute some geometrical properties.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Vertex.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Vertex</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#getBoundaryLoops()">getBoundaryLoops</a></strong>()</code> |
| <div class="block">Get the boundary loops of the polygon.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/enclosing/EnclosingBall.html" title="class in org.apache.commons.math3.geometry.enclosing">EnclosingBall</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/S2Point.html" title="class in org.apache.commons.math3.geometry.spherical.twod">S2Point</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#getEnclosingCap()">getEnclosingCap</a></strong>()</code> |
| <div class="block">Get a spherical cap enclosing the polygon.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.geometry.partitioning.AbstractRegion"> |
| <!-- --> |
| </a> |
| <h3>Methods inherited from class org.apache.commons.math3.geometry.partitioning.<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractRegion</a></h3> |
| <code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#applyTransform(org.apache.commons.math3.geometry.partitioning.Transform)">applyTransform</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#checkPoint(org.apache.commons.math3.geometry.partitioning.BSPTree, org.apache.commons.math3.geometry.Point)">checkPoint</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#checkPoint(org.apache.commons.math3.geometry.partitioning.BSPTree, org.apache.commons.math3.geometry.Vector)">checkPoint</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#checkPoint(org.apache.commons.math3.geometry.Point)">checkPoint</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#checkPoint(org.apache.commons.math3.geometry.Vector)">checkPoint</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#contains(org.apache.commons.math3.geometry.partitioning.Region)">contains</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#copySelf()">copySelf</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#getBarycenter()">getBarycenter</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#getBoundarySize()">getBoundarySize</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#getSize()">getSize</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#getTolerance()">getTolerance</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#getTree(boolean)">getTree</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#intersection(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">intersection</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#isEmpty()">isEmpty</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#isEmpty(org.apache.commons.math3.geometry.partitioning.BSPTree)">isEmpty</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#isFull()">isFull</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#isFull(org.apache.commons.math3.geometry.partitioning.BSPTree)">isFull</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#projectToBoundary(org.apache.commons.math3.geometry.Point)">projectToBoundary</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#setBarycenter(org.apache.commons.math3.geometry.Point)">setBarycenter</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#setBarycenter(org.apache.commons.math3.geometry.Vector)">setBarycenter</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#setSize(double)">setSize</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</a></code></li> |
| </ul> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods_inherited_from_class_java.lang.Object"> |
| <!-- --> |
| </a> |
| <h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> |
| <code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="SphericalPolygonsSet(double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>SphericalPolygonsSet</h4> |
| <pre>public SphericalPolygonsSet(double tolerance)</pre> |
| <div class="block">Build a polygons set representing the whole real 2-sphere.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>tolerance</code> - below which points are consider to be identical</dd></dl> |
| </li> |
| </ul> |
| <a name="SphericalPolygonsSet(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>SphericalPolygonsSet</h4> |
| <pre>public SphericalPolygonsSet(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> pole, |
| double tolerance)</pre> |
| <div class="block">Build a polygons set representing a hemisphere.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>pole</code> - pole of the hemisphere (the pole is in the inside half)</dd><dd><code>tolerance</code> - below which points are consider to be identical</dd></dl> |
| </li> |
| </ul> |
| <a name="SphericalPolygonsSet(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, int, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>SphericalPolygonsSet</h4> |
| <pre>public SphericalPolygonsSet(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> center, |
| <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> meridian, |
| double outsideRadius, |
| int n, |
| double tolerance)</pre> |
| <div class="block">Build a polygons set representing a regular polygon.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>center</code> - center of the polygon (the center is in the inside half)</dd><dd><code>meridian</code> - point defining the reference meridian for first polygon vertex</dd><dd><code>outsideRadius</code> - distance of the vertices to the center</dd><dd><code>n</code> - number of sides of the polygon</dd><dd><code>tolerance</code> - below which points are consider to be identical</dd></dl> |
| </li> |
| </ul> |
| <a name="SphericalPolygonsSet(org.apache.commons.math3.geometry.partitioning.BSPTree, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>SphericalPolygonsSet</h4> |
| <pre>public SphericalPolygonsSet(<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning">BSPTree</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>> tree, |
| double tolerance)</pre> |
| <div class="block">Build a polygons set from a BSP tree. |
| <p>The leaf nodes of the BSP tree <em>must</em> have a |
| <code>Boolean</code> attribute representing the inside status of |
| the corresponding cell (true for inside cells, false for outside |
| cells). In order to avoid building too many small objects, it is |
| recommended to use the predefined constants |
| <code>Boolean.TRUE</code> and <code>Boolean.FALSE</code></p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>tree</code> - inside/outside BSP tree representing the region</dd><dd><code>tolerance</code> - below which points are consider to be identical</dd></dl> |
| </li> |
| </ul> |
| <a name="SphericalPolygonsSet(java.util.Collection, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>SphericalPolygonsSet</h4> |
| <pre>public SphericalPolygonsSet(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><<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/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>>> boundary, |
| double tolerance)</pre> |
| <div class="block">Build a polygons set from a Boundary REPresentation (B-rep). |
| <p>The boundary is provided as a collection of <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>sub-hyperplanes</code></a>. Each sub-hyperplane has the |
| interior part of the region on its minus side and the exterior on |
| its plus side.</p> |
| <p>The boundary elements can be in any order, and can form |
| several non-connected sets (like for example polygons with holes |
| or a set of disjoint polygons considered as a whole). In |
| fact, the elements do not even need to be connected together |
| (their topological connections are not used here). However, if the |
| boundary does not really separate an inside open from an outside |
| open (open having here its topological meaning), then subsequent |
| calls to the <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html#checkPoint(org.apache.commons.math3.geometry.Point)"><code>checkPoint</code></a> method will not be meaningful anymore.</p> |
| <p>If the boundary is empty, the region will represent the whole |
| space.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>boundary</code> - collection of boundary elements, as a |
| collection of <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>SubHyperplane</code></a> objects</dd><dd><code>tolerance</code> - below which points are consider to be identical</dd></dl> |
| </li> |
| </ul> |
| <a name="SphericalPolygonsSet(double, org.apache.commons.math3.geometry.spherical.twod.S2Point...)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>SphericalPolygonsSet</h4> |
| <pre>public SphericalPolygonsSet(double hyperplaneThickness, |
| <a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/S2Point.html" title="class in org.apache.commons.math3.geometry.spherical.twod">S2Point</a>... vertices)</pre> |
| <div class="block">Build a polygon from a simple list of vertices. |
| <p>The boundary is provided as a list of points considering to |
| represent the vertices of a simple loop. The interior part of the |
| region is on the left side of this path and the exterior is on its |
| right side.</p> |
| <p>This constructor does not handle polygons with a boundary |
| forming several disconnected paths (such as polygons with holes).</p> |
| <p>For cases where this simple constructor applies, it is expected to |
| be numerically more robust than the <a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html#SphericalPolygonsSet(java.util.Collection, double)"><code>general constructor</code></a> using <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>subhyperplanes</code></a>.</p> |
| <p>If the list is empty, the region will represent the whole |
| space.</p> |
| <p> |
| Polygons with thin pikes or dents are inherently difficult to handle because |
| they involve circles with almost opposite directions at some vertices. Polygons |
| whose vertices come from some physical measurement with noise are also |
| difficult because an edge that should be straight may be broken in lots of |
| different pieces with almost equal directions. In both cases, computing the |
| circles intersections is not numerically robust due to the almost 0 or almost |
| π angle. Such cases need to carefully adjust the <code>hyperplaneThickness</code> |
| parameter. A too small value would often lead to completely wrong polygons |
| with large area wrongly identified as inside or outside. Large values are |
| often much safer. As a rule of thumb, a value slightly below the size of the |
| most accurate detail needed is a good value for the <code>hyperplaneThickness</code> |
| parameter. |
| </p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>hyperplaneThickness</code> - tolerance below which points are considered to |
| belong to the hyperplane (which is therefore more a slab)</dd><dd><code>vertices</code> - vertices of the simple loop boundary</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="buildNew(org.apache.commons.math3.geometry.partitioning.BSPTree)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>buildNew</h4> |
| <pre>public <a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html" title="class in org.apache.commons.math3.geometry.spherical.twod">SphericalPolygonsSet</a> buildNew(<a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning">BSPTree</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>> tree)</pre> |
| <div class="block">Build a region using the instance as a prototype. |
| <p>This method allow to create new instances without knowing |
| exactly the type of the region. It is an application of the |
| prototype design pattern.</p> |
| <p>The leaf nodes of the BSP tree <em>must</em> have a |
| <code>Boolean</code> attribute representing the inside status of |
| the corresponding cell (true for inside cells, false for outside |
| cells). In order to avoid building too many small objects, it is |
| recommended to use the predefined constants |
| <code>Boolean.TRUE</code> and <code>Boolean.FALSE</code>. The |
| tree also <em>must</em> have either null internal nodes or |
| internal nodes representing the boundary as specified in the |
| <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html#getTree(boolean)"><code>getTree</code></a> method).</p></div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html#buildNew(org.apache.commons.math3.geometry.partitioning.BSPTree)">buildNew</a></code> in interface <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/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>></code></dd> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#buildNew(org.apache.commons.math3.geometry.partitioning.BSPTree)">buildNew</a></code> in class <code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractRegion</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/oned/Sphere1D.html" title="class in org.apache.commons.math3.geometry.spherical.oned">Sphere1D</a>></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>tree</code> - inside/outside BSP tree representing the new region</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the built region</dd></dl> |
| </li> |
| </ul> |
| <a name="computeGeometricalProperties()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>computeGeometricalProperties</h4> |
| <pre>protected void computeGeometricalProperties() |
| throws <a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalStateException.html" title="class in org.apache.commons.math3.exception">MathIllegalStateException</a></pre> |
| <div class="block">Compute some geometrical properties. |
| <p>The properties to compute are the barycenter and the size.</p></div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#computeGeometricalProperties()">computeGeometricalProperties</a></code> in class <code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractRegion</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/oned/Sphere1D.html" title="class in org.apache.commons.math3.geometry.spherical.oned">Sphere1D</a>></code></dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalStateException.html" title="class in org.apache.commons.math3.exception">MathIllegalStateException</a></code> - if the tolerance setting does not allow to build |
| a clean non-ambiguous boundary</dd></dl> |
| </li> |
| </ul> |
| <a name="getBoundaryLoops()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getBoundaryLoops</h4> |
| <pre>public <a href="http://docs.oracle.com/javase/6/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Vertex.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Vertex</a>> getBoundaryLoops() |
| throws <a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalStateException.html" title="class in org.apache.commons.math3.exception">MathIllegalStateException</a></pre> |
| <div class="block">Get the boundary loops of the polygon. |
| <p>The polygon boundary can be represented as a list of closed loops, |
| each loop being given by exactly one of its vertices. From each loop |
| start vertex, one can follow the loop by finding the outgoing edge, |
| then the end vertex, then the next outgoing edge ... until the start |
| vertex of the loop (exactly the same instance) is found again once |
| the full loop has been visited.</p> |
| <p>If the polygon has no boundary at all, a zero length loop |
| array will be returned.</p> |
| <p>If the polygon is a simple one-piece polygon, then the returned |
| array will contain a single vertex. |
| </p> |
| <p>All edges in the various loops have the inside of the region on |
| their left side (i.e. toward their pole) and the outside on their |
| right side (i.e. away from their pole) when moving in the underlying |
| circle direction. This means that the closed loops obey the direct |
| trigonometric orientation.</p></div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>boundary of the polygon, organized as an unmodifiable list of loops start vertices.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalStateException.html" title="class in org.apache.commons.math3.exception">MathIllegalStateException</a></code> - if the tolerance setting does not allow to build |
| a clean non-ambiguous boundary</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Vertex.html" title="class in org.apache.commons.math3.geometry.spherical.twod"><code>Vertex</code></a>, |
| <a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Edge.html" title="class in org.apache.commons.math3.geometry.spherical.twod"><code>Edge</code></a></dd></dl> |
| </li> |
| </ul> |
| <a name="getEnclosingCap()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>getEnclosingCap</h4> |
| <pre>public <a href="../../../../../../../org/apache/commons/math3/geometry/enclosing/EnclosingBall.html" title="class in org.apache.commons.math3.geometry.enclosing">EnclosingBall</a><<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Sphere2D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/S2Point.html" title="class in org.apache.commons.math3.geometry.spherical.twod">S2Point</a>> getEnclosingCap()</pre> |
| <div class="block">Get a spherical cap enclosing the polygon. |
| <p> |
| This method is intended as a first test to quickly identify points |
| that are guaranteed to be outside of the region, hence performing a full |
| <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractRegion.html#checkPoint(org.apache.commons.math3.geometry.Vector)"><code>checkPoint</code></a> |
| only if the point status remains undecided after the quick check. It is |
| is therefore mostly useful to speed up computation for small polygons with |
| complex shapes (say a country boundary on Earth), as the spherical cap will |
| be small and hence will reliably identify a large part of the sphere as outside, |
| whereas the full check can be more computing intensive. A typical use case is |
| therefore: |
| </p> |
| <pre> |
| // compute region, plus an enclosing spherical cap |
| SphericalPolygonsSet complexShape = ...; |
| EnclosingBall<Sphere2D, S2Point> cap = complexShape.getEnclosingCap(); |
| |
| // check lots of points |
| for (Vector3D p : points) { |
| |
| final Location l; |
| if (cap.contains(p)) { |
| // we cannot be sure where the point is |
| // we need to perform the full computation |
| l = complexShape.checkPoint(v); |
| } else { |
| // no need to do further computation, |
| // we already know the point is outside |
| l = Location.OUTSIDE; |
| } |
| |
| // use l ... |
| |
| } |
| </pre> |
| <p> |
| In the special cases of empty or whole sphere polygons, special |
| spherical caps are returned, with angular radius set to negative |
| or positive infinity so the <a href="../../../../../../../org/apache/commons/math3/geometry/enclosing/EnclosingBall.html#contains(P)"><code>ball.contains(point)</code></a> |
| method return always false or true. |
| </p> |
| <p> |
| This method is <em>not</em> guaranteed to return the smallest enclosing cap. |
| </p></div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a spherical cap enclosing the polygon</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/SphericalPolygonsSet.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/spherical/twod/Sphere2D.html" title="class in org.apache.commons.math3.geometry.spherical.twod"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../../org/apache/commons/math3/geometry/spherical/twod/SubCircle.html" title="class in org.apache.commons.math3.geometry.spherical.twod"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../../index.html?org/apache/commons/math3/geometry/spherical/twod/SphericalPolygonsSet.html" target="_top">Frames</a></li> |
| <li><a href="SphericalPolygonsSet.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><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li><a href="#constructor_detail">Constr</a> | </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> |