User Manual 3.3 Spheres : Différence entre versions

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==== Implementation ====
 
==== Implementation ====
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The Sphere object in the SIRIUS library implements the [MAT_GEO_EllipsoidInterface Ellipsoid interface]. Please refer to the [{{JavaDoc3.3}}/org/apache/commons/math3/geometry/euclidean/threed/Sphere.html Javadoc] for a complete list of public methods.
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The Sphere 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/Sphere.html Javadoc] for a complete list of public methods.
  
 
==== Instantiation ====
 
==== Instantiation ====

Version actuelle en date du 4 avril 2018 à 14:14

Definition

A sphere is an ellipsoid with equal equatorial and polar radii. Assuming the XYZ coordinate system is such that the sphere is centered and axis-aligned, the spheres' equation is given by:

[math]\mathcal{S} = \left\{ (x, y, z) \in \mathbb{R}^3 \middle/ x^2 + y^2 + z^2 = r^2 \right\}[/math]
Sphere.PNG

Implementation

The Sphere object in the SIRIUS library implements the Ellipsoid interface. Please refer to the Javadoc for a complete list of public methods.

Instantiation

The sphere object is built from a centre (Vector3D) and a radius : 

Vector3D centre = new Vector3D(1.0, 5.0,-2.0);
double radius = 1.2;
Sphere sphere = new Sphere(centre, radius);

Usage

Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.

Récupérée de « http://patrius.cnes.fr/index.php?title=User_Manual_3.3_Spheres&oldid=1666 »