"Bald Eagle" <cre### [at] netscapenet> wrote:

> There are still "bumps", so I think I still need to somehow account for the
> varying curvature along the splines.

So, I guess what I'm going to have to do is work out the first and second
derivatives of the Bernstein polynomials and calculate the curvature K (okay, I
already know how to do this, and have done it, and have code)

K = (x' y'' - x'' y') / (x' x' + y' y') ^ (3/2)

but then I need to figure out how to solve for sets of control point coordinates
that give me matching curvatures.

The task of fairing these curves to match "smoothly" is a conceptually
straightforward thing - hammering out the details of how to do that appears to
be a bit more mathematically involved than most would first imagine.

- BW

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