Hello Francois,
I think we need a RevCoding mathematician! I struggle with elementary
mathematics, let alone polynomial tangent functions!
/H
Le 2 oct. 09 ` 19:15, Hugh Senior a icrit :
>
> I am also trying to plot a curved line through coordinate points, so a
> Bezier curve is not an appropriate route as it intentionally misses
> the
> coordinate point. Similarly, with potentially big distances between
> points,
> how 'smooth' is 'smooth'? A sharp, angular curve at each point or a
> more
> flattened, rounded curve? And this assumes that no curve is
> possible at all
> for the first and last points because there is no way of knowing
> the shape
> at all.
>
> One math guru I spoke to said it's not doable with coordinate data
> anyway,
> only statistical data. I hope he is incorrect.
IF the Bezier curve is a function y=f(x) of the horizontal pixel
number N, the the best you can on screen (or printer fror that
matter) do is draw a line (hopefully anti aliased) from each point
(x,integer((f(x))) to point (x+1,integer(f(x+1))). f is a polynomial.
To manage the general case, you can search for the mathematical (i.e.
maybe non integer) points at which the tangent of the curves is
vertical.
Best regards,
Frangois
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