Construction of a reflector surface

Contexts in source publication

Context 1

... start with an elliptically shaped cylinder as our B-Brep. Please see Figure 1. A "spinal curve" is drawn through the centre of the B-Brep and a number of points are established on the curve. ...

Context 2

... "spinal curve" is drawn through the centre of the B-Brep and a number of points are established on the curve. In the example shown here there are only four points (Figure 1b) but any appropriate number may be chosen. At each one of the points, a "spinal plane" is created perpendicular to the spinal curve. ...

Context 3

... the intersections between these planes and the original B-Brep volume are calculated. This gives us four Bounding Nurb Curves (BN Curves), one for each plane ( Figure 1c). Each spinal plane has its own U and V axes. ...

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... are the points that will be used to build the reflector surface. The points are perturbed along the V axes of their respective spinal planes, their maximum and minimum perturbations being limited by their associated BN Curve (Figure 1d). ...

Context 5

... pairs of the construction curves are then used to create surface "strips". Then, finally, these strips are joined together to create the reflector surface, as shown in Figure 1e. ...

Context 6

... parameter pair (si, ti) represents a point on the reflector. An example of parameterised, pre-determined reflection points is shown in Figure 1f. ...