Example: Cone Data Format
The generating curve of a cone is a line at an angle α to the axis of revolution which intersects the axis at the origin. The v parameter is the height of the point along the axis, and the radial distance of the point is v * tan (α). The following illustration shows a cone.
Data format:
e1[3]
(dbl)
e2[3]
(dbl)
e3[3]
(dbl)
origin[3]
(dbl)
Origin of the local coordinate system
a
(dbl)
The angle between the axis of the cone and the generating line
Parameterization:
(x, y, z) = v * tan(α) * [cos(u) * e1 + sin(u) * e2] + v * e3 + origin