https://patrius.cnes.fr/index.php?action=history&feed=atom&title=User_Manual_3.4.1_Infinite_Elliptic_CylinderUser Manual 3.4.1 Infinite Elliptic Cylinder - Historique des versions2026-05-04T13:31:04ZHistorique des versions pour cette page sur le wikiMediaWiki 1.43.8https://patrius.cnes.fr/index.php?title=User_Manual_3.4.1_Infinite_Elliptic_Cylinder&diff=1618&oldid=prevAdmin : Page créée avec « ====Definition==== An infinite elliptic cylinder is a quadric surface obtained by extending an ellipse about its normal axis; in other words, a cylinder with an elliptic b... »2018-04-04T12:31:17Z<p>Page créée avec « ====Definition==== An infinite elliptic cylinder is a quadric surface obtained by extending an ellipse about its normal axis; in other words, a cylinder with an elliptic b... »</p>
<p><b>Nouvelle page</b></p><div>====Definition====<br />
An infinite elliptic cylinder is a quadric surface obtained by extending an ellipse about its normal axis; in other words, a cylinder with an elliptic base. Assuming the XYZ coordinate system is such that the cylinder is centered and axis-aligned, the cylinders equation is given by:<br />
<br />
<center><br />
<math>\mathcal{C} = \left\{ (x, y, z) \in {R}^3 \middle/ {x^2 \over a^2} + {y^2 \over b^2} = 1 \right\}</math><br />
</center><br />
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[[File:ellipticCylinder.png|center]]<br />
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====Implementation====<br />
The Infinite Elliptic Cylinder object in the SIRIUS library implements the [MAT_GEO_InfiniteCylinderInterface infinite cylinder interface]. Please refer to the [{{JavaDoc3.4.1}}/org/apache/commons/math3/geometry/euclidean/threed/InfiniteEllipticCylinder.html Javadoc] for a complete list of public methods.<br />
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====Instantiation====<br />
In order to instantiate an infinite elliptic cylinder object, the user must specify the cylinders' "center", its main axis, its axis along which semi axis is <math>a</math> and both semi-axis. For example :<br />
<br />
<syntaxhighlight lang="java"><br />
// Cylinders parameters<br />
Vector3D position = new Vector3D(1, 2, 3);<br />
Vector3D axis = new Vector3D(0, 1, 1);<br />
Vector3D axisU = new Vector3D(2,-1, 0);<br />
double a = 2.0;<br />
double b = 1.0;<br />
// The cylinder itself<br />
InfiniteEllipticCylinder myCylinder = new InfiniteEllipticCylinder(position, axis, axisU, a, b);<br />
</syntaxhighlight><br />
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====Usage====<br />
Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.</div>Admin