> -----Original Message----- > From: freetype-devel-bounces+david.bevan=pb....@nongnu.org > [mailto:freetype-devel-bounces+david.bevan=pb....@nongnu.org] On Behalf Of > Graham Asher > Sent: 29 August 2010 20:01 > To: James Cloos > Cc: freetype-devel > Subject: Re: [ft-devel] Re: preliminary analysis of the problem with cubic > spline optimisation > > "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 end can be further from the line than the curve's > midpoint as defined by bisection of the curve.
The point at maximal distance is the midpoint ONLY if the control points are equidistant from the chord. David %^> _______________________________________________ Freetype-devel mailing list Freetype-devel@nongnu.org http://lists.nongnu.org/mailman/listinfo/freetype-devel