User Manual 3.3 Ellipsoids : Différence entre versions
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− | The Ellipsoid object in the SIRIUS library implements the [ | + | The Ellipsoid object in the SIRIUS library implements the [[User Manual 3.3 The Ellipsoid Interface|Ellipsoid interface]]. Please refer to the [{{JavaDoc3.3}}/org/apache/commons/math3/geometry/euclidean/threed/Ellipsoid.html Javadoc] for a complete list of public methods. |
==== Instantiation ==== | ==== Instantiation ==== |
Version actuelle en date du 4 avril 2018 à 14:15
Definition
An ellipsoid is a closed quadric surface that is the three dimensional analogue of an ellipse. Assuming the XYZ coordinate system is such that the ellipsoid is centered and axis-aligned, the ellipsoids equation is given by:
a,b and c are called the semi axes of the ellipsoid.
Implementation
The Ellipsoid object in the SIRIUS library implements the Ellipsoid interface. Please refer to the Javadoc for a complete list of public methods.
Instantiation
In order to instantiate an ellipsoid, the user must specify the ellipsoids' center, it's axis of revolution, X-axis, and all three semi-axis [math]a, b[/math] and [math]c[/math]. For example :
// Spheroid parameters Vector3D position = new Vector3D(0, 0, 0); Vector3D revAxis = new Vector3D(0, 0, 1); Vector3D xAxis = new Vector3D(1, 0, 0); double a = 2.0; double c = 1.5; double c = 1.0; // The ellipsoid itself Ellipsoid myEllipsoid = new Ellipsoid(position, revAxis, xAxis, a, b, c);
Usage
Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.