User Manual 3.3 Elliptic cone
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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.