Subject: Re: Estimation of Bezier curve flatness criteria
> The original problem is building stoke for Bezier curves. In my
> situation stoke have to consists of Bezier curves with the same degree.
It took a while to realize that by "stoke" you meant "stroke", and by
that you meant you want to draw a Bezier curve as a line of a certain
width. So, in more usual terms, you need an offset curve for a
Bezier, und you want to draw that as a Bezier
> (P0,P1,P2) - source curve
Not really. Those are the control points of the center curve.
> (L0,L1,L2) and (P0,P1,P2) - left and right curves
> I think, I have found effective flatness criteria for source curve, I
> suppose that distance between source and left/right curves in "good"
> cases is about distance between parametric centers dist(P(0.5),L(0.5)).
Flatness is not really your problem, so I doubt a flatness criterion
will be the best tool to solve it.
The actual problem is that the true offset curve of a Bezier curve is
not itself a bezier curve. And no, de Casteljau in and of itself
won't help. You have to replace the Bezier curve by a Bezier
*spline*, or by a completely different type of curve (a NURBS, maybe).
Hans-Bernhard Broeker (email@example.com)
Even if all the snow were burnt, ashes would remain.
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Re: Estimation of Bezier curve flatness criteria
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