The aim is to draw a straight line between the start end end of a cubic
spline, instead of rendering the curve correctly, if the curve deviates
by less than a certain value from the straight line. The code in
gray_render_cubic in ftgrays.c checks only the midpoint of the curve.
However, this
Correction: it's not monotonicity that matters, but having the two
control points on different sides of the straight line.
Graham Asher wrote:
The aim is to draw a straight line between the start end end of a
cubic spline, instead of rendering the curve correctly, if the curve
deviates by
Here's a fix that works. I'm trying to think of a faster way of doing
it. The fix splits the cubic spline in two, guaranteeing that the
resulting curves have their control points on the same side of the
straight lines from start to end, then performs the original test for
the distance (or
GA == Graham Asher graham.as...@btinternet.com writes:
GA Correction: it's not monotonicity that matters, but having the two
GA control points on different sides of the straight line.
Wouldn't the midpoint also fail to be the furthest point from the line
whenever the two off-curve control
It can happen, though. In fact I now don't think it can happen. If
there are any good mathematicians out there (better than me at this,
which sets quite a low bar), please confirm that no point on a cubic
spline curve with both control points on the same side of the straight
line from start to
