https://patrius.cnes.fr/index.php?action=history&feed=atom&title=User_Manual_3.4.1_Infinite_rectangle_cone 2026-05-02T11:44:04Z Historique des versions pour cette page sur le wiki MediaWiki 1.43.8 https://patrius.cnes.fr/index.php?title=User_Manual_3.4.1_Infinite_rectangle_cone&diff=1625&oldid=prev 2018-04-04T12:58:51Z

<p>Page créée avec « ==== Definition ==== The infinite rectangle cones (infinite pyramids) are defined in a 3D space by their origin, their axis, a local frame (giving the orientation of the... »</p> <p><b>Nouvelle page</b></p><div>==== Definition ====<br /> <br /> The infinite rectangle cones (infinite pyramids) are defined in a 3D space by their origin, their axis, a local frame (giving the orientation of the rectangle) and the two half angles :<br /> <br /> [[File:pyramid6.png|center]]<br /> <br /> ==== Implementation ====<br /> <br /> The InfiniteRectangleCylinder object in the SIRIUS library implements the [MAT_GEO_InfiniteConeInterface InfiniteCone Interface]. Please refer to the [{{JavaDoc3.4.1}}/org/apache/commons/math3/geometry/euclidean/threed/InfiniteRectangleCone.html Javadoc] for a complete list of public methods.<br /> <br /> <br /> ==== Instantiation ====<br /> <br /> The object is built from three vectors (Vector3D) and two doubles : <br /> <br /> &lt;syntaxhighlight lang=&quot;java&quot;&gt;<br /> Vector3D originCone = new Vector3D(1.0, 1.0, 1.0);<br /> Vector3D axis = new Vector3D(2.0, 0.0, 0.0);<br /> Vector3D inputVectorU = new Vector3D(0.0, 1.0, 0.0);<br /> double angleU = FastMath.PI / 4.0;<br /> double angleV = FastMath.PI / 4.0;<br /> <br /> InfiniteRectangleCone cone = new InfiniteRectangleCone(originCone, axis, inputVectorU, angleU, angleV);<br /> &lt;/syntaxhighlight&gt;<br /> <br /> The local frame is built such as :<br /> <br /> * The axis is the W vector<br /> * U is orthogonal to W and its direction is defined by the &#039;input U vector&quot;<br /> * V completes the frame<br /> <br /> ==== Usage ====<br /> <br /> Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.</div>

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