[comp.graphics] 2D cubic spline curves

ritter@versatc.UUCP (Jack Ritter) (01/13/89)

We want to plot curves on our raster plotters.
We define a curve as a series of parametrically defined pieces, eg:

	 x = a1*u**3 + a2*u**2 + a3*u + a4   and
	 y = b1*u**3 + b2*u**2 + b3*u + b4  ,
	   for a given range in u (arc length).

The curve has a given width. The issue is accuracy.
We will draw a curve as a series of piecewise linear line segments.
We have considered accuracy in terms of chord tolerance, angle
between adjacent lines, size of du, arc length, and some other wierd shit.
We would be interested in any suggestions on curve accuracy,
or rendering 2D parametric cubics in general. Comments or
references welcome.



-- 
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   Jack Ritter, S/W Eng. Versatec, 2805 Bowers Av, Santa Clara, CA 95051
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