I hope this doesn't fall into the category of "too broad", but I've exhausted every other source (and google search) I can think of...
I need to write some code (this is not a programming question, either) which takes a series of control points and produces a bezier curve/spline where the distances between each output point are the same. It also needs to have the curve pass through every control point, not just go "near" them. As an extra confusion, it needs to be able to accept any number, from 2 upwards, of control points.
I believe that this is called a multi-point cardinal spline with regular stepping, but some of my research tells me otherwise.
Could someone who knows simply tell me what I should be looking up and I'll go away and do the more pointed research, please?