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		<id>https://patrius.cnes.fr/index.php?title=User_Manual_3.3_Plates&amp;diff=1638&amp;oldid=prev</id>
		<title>Admin : Page créée avec « ====Definition==== The plates are rectangles defined in a 3D space by their centre and a local orthogonal frame (U, V, W).  The normalized U vector defines the &quot;length&quot; di... »</title>
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		<updated>2018-04-04T13:34:30Z</updated>

		<summary type="html">&lt;p&gt;Page créée avec « ====Definition==== The plates are rectangles defined in a 3D space by their centre and a local orthogonal frame (U, V, W).  The normalized U vector defines the &amp;quot;length&amp;quot; di... »&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Nouvelle page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;====Definition====&lt;br /&gt;
The plates are rectangles defined in a 3D space by their centre and a local orthogonal frame (U, V, W).&lt;br /&gt;
&lt;br /&gt;
The normalized U vector defines the &amp;quot;length&amp;quot; direction, the normalized V vector defines the &amp;quot;width&amp;quot; direction.&lt;br /&gt;
&lt;br /&gt;
The four corners are named C1, C2, C3 and C4 in the following order :&lt;br /&gt;
&lt;br /&gt;
[[File:rectangle1.png|center]]&lt;br /&gt;
====Implementation====&lt;br /&gt;
The Plate object implements the [{{JavaDoc3.3}}/org/apache/commons/math3/geometry/euclidean/threed/SolidShape.html SolidShape interface]. Please refer to the [{{JavaDoc3.3}}/org/apache/commons/math3/geometry/euclidean/threed/Plate.html Plate javadoc] for a complete list of public methods.&lt;br /&gt;
&lt;br /&gt;
====Instantiation====&lt;br /&gt;
The plate object is built from a centre (Vector3D), two vectors (Vector3D) to describe its orientation, and two dimensions : &lt;br /&gt;
&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;java&amp;quot;&amp;gt;&lt;br /&gt;
Vector3D center = new Vector3D(1.0, 1.0, 1.0);&lt;br /&gt;
Vector3D uVector = new Vector3D(1.0, 1.0, 0.0);&lt;br /&gt;
Vector3D inputvVector = new Vector3D(-5.0, 1.0, 0.0);&lt;br /&gt;
Plate plate = new Plate(center, uVector, inputvVector, 4.0, 2.0);&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The local frame of the plate is built from the two orientation vector :&lt;br /&gt;
&lt;br /&gt;
* U is the first once normalized (uVector)&lt;br /&gt;
* V is the vector normal to U in plane define by the two given vectors, in the direction of the second one (positive dot product with &amp;quot;input vVector&amp;quot;)&lt;br /&gt;
&lt;br /&gt;
====Usage====&lt;br /&gt;
Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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