I would like to define a helix with a
- start pitch
- end pitch
- start radius
- end radius
- start angle
The pitch and radius parameters should be interpolated linearly from each end along the length of the helix.
My aim is to create a NURBS curve that closely matches this helix with the smallest number of control points I need. My geometry library has a function for directly generating nurbs curves from knot vectors and ctrlPoints.
NurbsCurve Create(int degree, double[] knotVector, Point4D[] ctrlPoints);
What is the math required to generated these parameters?