User Manual 4.0 Elliptic cone

User Manual 4.0 Elliptic cone

Definition

The elliptic cones are defined in a 3D space by their origin (apex), their local frame, their height and the two angles defining the elliptic basis :

Implementation

The EllipticCone object in the SIRIUS library implements the Cone Interface. Please refer to the Javadoc for a complete list of public methods.

Instantiation

The object is built from three vectors (Vector3D) and three doubles :

Vector3D originCone = new Vector3D(1.0, 1.0, 1.0);
Vector3D direction = new Vector3D(2.0, 0.0, 0.0);
Vector3D inputUvector = new Vector3D(1.0, 1.0, 0.0);
double angleU = FastMath.PI / 4.0;
double angleV = FastMath.PI / 8.0;
double height = 5.0;
EllipticCone cone = new EllipticCone(originCone, direction, inputUvector, angleU, angleV, height);

The local frame is built such as :

• W is the direction vector once normalized
• U is orthogonal to W and its direction is defined by the 'input U vector"
• V completes the frame

Usage

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