User Manual 3.3 Right circular cone

User Manual 3.3 Right circular cone

Definition

The right circular cones are defined in a 3D space by their origin, their axis, height and the half angle :

Implementation

The RightCircularCone 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 two vectors (Vector3D) and two doubles :

Vector3D originCone = new Vector3D(1.0, 1.0, 1.0);
Vector3D direction = new Vector3D(2.0, 0.0, 0.0);
double angle = FastMath.PI / 4.0;
double height = 5.0;
RightCircularCone cone = new RightCircularCone(originCone, axis, angle, height);

The local frame is built such as :

• The axis is the W vector
• U and V are two orthogonal and normalised vectors to complete the frame

Usage

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