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| <div class="subTitle">org.apache.commons.math3.geometry.euclidean.twod.hull</div> |
| <h2 title="Class MonotoneChain" class="title">Class MonotoneChain</h2> |
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| <li>org.apache.commons.math3.geometry.euclidean.twod.hull.MonotoneChain</li> |
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| <dt>All Implemented Interfaces:</dt> |
| <dd><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/ConvexHullGenerator2D.html" title="interface in org.apache.commons.math3.geometry.euclidean.twod.hull">ConvexHullGenerator2D</a>, <a href="../../../../../../../../org/apache/commons/math3/geometry/hull/ConvexHullGenerator.html" title="interface in org.apache.commons.math3.geometry.hull">ConvexHullGenerator</a><<a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>></dd> |
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| <pre>public class <span class="strong">MonotoneChain</span> |
| extends <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></pre> |
| <div class="block">Implements Andrew's monotone chain method to generate the convex hull of a finite set of |
| points in the two-dimensional euclidean space. |
| <p> |
| The runtime complexity is O(n log n), with n being the number of input points. If the |
| point set is already sorted (by x-coordinate), the runtime complexity is O(n). |
| <p> |
| The implementation is not sensitive to collinear points on the hull. The parameter |
| <code>includeCollinearPoints</code> allows to control the behavior with regard to collinear points. |
| If <code>true</code>, all points on the boundary of the hull will be added to the hull vertices, |
| otherwise only the extreme points will be present. By default, collinear points are not added |
| as hull vertices. |
| <p> |
| The <code>tolerance</code> parameter (default: 1e-10) is used as epsilon criteria to determine |
| identical and collinear points.</div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: MonotoneChain.java 1568752 2014-02-16 12:19:51Z tn $</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikibooks.org/wiki/Algorithm_Implementation/Geometry/Convex_hull/Monotone_chain"> |
| Andrew's monotone chain algorithm (Wikibooks)</a></dd></dl> |
| </li> |
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| <td class="colOne"><code><strong><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/MonotoneChain.html#MonotoneChain()">MonotoneChain</a></strong>()</code> |
| <div class="block">Create a new MonotoneChain instance.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/MonotoneChain.html#MonotoneChain(boolean)">MonotoneChain</a></strong>(boolean includeCollinearPoints)</code> |
| <div class="block">Create a new MonotoneChain instance.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/MonotoneChain.html#MonotoneChain(boolean, double)">MonotoneChain</a></strong>(boolean includeCollinearPoints, |
| double tolerance)</code> |
| <div class="block">Create a new MonotoneChain instance.</div> |
| </td> |
| </tr> |
| </table> |
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| <tr class="altColor"> |
| <td class="colFirst"><code><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/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/MonotoneChain.html#findHullVertices(java.util.Collection)">findHullVertices</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/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>> points)</code> |
| <div class="block">Find the convex hull vertices from the set of input points.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/ConvexHull2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod.hull">ConvexHull2D</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/MonotoneChain.html#generate(java.util.Collection)">generate</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/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>> points)</code> |
| <div class="block">Builds the convex hull from the set of input points.</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/euclidean/twod/hull/MonotoneChain.html#getTolerance()">getTolerance</a></strong>()</code> |
| <div class="block">Get the tolerance below which points are considered identical.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/MonotoneChain.html#isIncludeCollinearPoints()">isIncludeCollinearPoints</a></strong>()</code> |
| <div class="block">Returns if collinear points on the hull will be added as hull vertices.</div> |
| </td> |
| </tr> |
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| <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> |
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| <li class="blockList"><a name="constructor_detail"> |
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| </a> |
| <h3>Constructor Detail</h3> |
| <a name="MonotoneChain()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>MonotoneChain</h4> |
| <pre>public MonotoneChain()</pre> |
| <div class="block">Create a new MonotoneChain instance.</div> |
| </li> |
| </ul> |
| <a name="MonotoneChain(boolean)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>MonotoneChain</h4> |
| <pre>public MonotoneChain(boolean includeCollinearPoints)</pre> |
| <div class="block">Create a new MonotoneChain instance.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>includeCollinearPoints</code> - whether collinear points shall be added as hull vertices</dd></dl> |
| </li> |
| </ul> |
| <a name="MonotoneChain(boolean, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>MonotoneChain</h4> |
| <pre>public MonotoneChain(boolean includeCollinearPoints, |
| double tolerance)</pre> |
| <div class="block">Create a new MonotoneChain instance.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>includeCollinearPoints</code> - whether collinear points shall be added as hull vertices</dd><dd><code>tolerance</code> - tolerance below which points are considered identical</dd></dl> |
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| <a name="findHullVertices(java.util.Collection)"> |
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| <h4>findHullVertices</h4> |
| <pre>public <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/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>> findHullVertices(<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/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>> points)</pre> |
| <div class="block">Find the convex hull vertices from the set of input points.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>points</code> - the set of input points</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the convex hull vertices in CCW winding</dd></dl> |
| </li> |
| </ul> |
| <a name="getTolerance()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getTolerance</h4> |
| <pre>public double getTolerance()</pre> |
| <div class="block">Get the tolerance below which points are considered identical.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the tolerance below which points are considered identical</dd></dl> |
| </li> |
| </ul> |
| <a name="isIncludeCollinearPoints()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>isIncludeCollinearPoints</h4> |
| <pre>public boolean isIncludeCollinearPoints()</pre> |
| <div class="block">Returns if collinear points on the hull will be added as hull vertices.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd><code>true</code> if collinear points are added as hull vertices, or <code>false</code> |
| if only extreme points are present.</dd></dl> |
| </li> |
| </ul> |
| <a name="generate(java.util.Collection)"> |
| <!-- --> |
| </a> |
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| <h4>generate</h4> |
| <pre>public <a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/ConvexHull2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod.hull">ConvexHull2D</a> generate(<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/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>> points) |
| throws <a href="../../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>, |
| <a href="../../../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></pre> |
| <div class="block">Builds the convex hull from the set of input points.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/ConvexHullGenerator2D.html#generate(java.util.Collection)">generate</a></code> in interface <code><a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/hull/ConvexHullGenerator2D.html" title="interface in org.apache.commons.math3.geometry.euclidean.twod.hull">ConvexHullGenerator2D</a></code></dd> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../../../org/apache/commons/math3/geometry/hull/ConvexHullGenerator.html#generate(java.util.Collection)">generate</a></code> in interface <code><a href="../../../../../../../../org/apache/commons/math3/geometry/hull/ConvexHullGenerator.html" title="interface in org.apache.commons.math3.geometry.hull">ConvexHullGenerator</a><<a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Euclidean2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Euclidean2D</a>,<a href="../../../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>points</code> - the set of input points</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the convex hull</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the input collection is <code>null</code></dd> |
| <dd><code><a href="../../../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code> - if generator fails to generate a convex hull for |
| the given set of input points</dd></dl> |
| </li> |
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