User Manual 3.3 Spheroids : Différence entre versions
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| − | The Spheroid object in the SIRIUS library implements the [ | + | The Spheroid 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/Spheroid.html Javadoc] for a complete list of public methods. |
==== Instantiation ==== | ==== Instantiation ==== | ||
Version actuelle en date du 4 avril 2018 à 14:13
Definition
A spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal equatorial radii. Assuming the XYZ coordinate system is such that the spheroid is centered and axis-aligned, the spheroids equation is given by:
The equatorial radius is called the transverse radius whereas the polar radius [math]b[/math] is the conjugate radius.
Implementation
The Spheroid 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 a spheroid object, the user must specify the spheroids' center, it's axis of revolution and both semi-axis (the transverse radius [math]a[/math] and the conjugate radius [math]b[/math]). For example :
// Spheroid parameters Vector3D position = new Vector3D(1, 2, 3); Vector3D revAxis = new Vector3D(0, 1, 1); double a = 2.0; double b = 1.0; // The spheroid itself Spheroid mySpheroid = new Spheroid(position, revAxis, a, b);
Usage
Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.
