Le 2 oct. 09 à 19:15, Hugh Senior a écrit :
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,
François
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