William F Pokorny <ano### [at] anonymousorg> wrote:

> This a general helper function / technique to match any two curves at
> their endpoints given you have the means to calculate the first and
> second derivatives for both curves being glued together at (t).

Are f' and f" arguments to the function?

> The function will calculate and return 'k(t)' or the 'radius of
> curvature' (1.0/k(t)).
>
> Attaching images showing on the left k(t), and on the right the 'radius
> of curvature' at t, as the length of the normal vectors for a
> f_bezier_2d_cubic() curve.

That's pretty slick.
(If you add f'", then you can match RATE of curvature, so that reflections are
smooth as well.)


Do you plug f_bezier_2d_cubic() into your function and it calculates the
derivatives?  Can you plug in, say, Perlin Noise, and have that work?

You've been busy!  :)

- BW

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