RE: [ft-devel] Re: preliminary analysis of the problem with cubic spline optimisation

[David Bevan]

> -----Original Message-----
> From: address@hidden
> [mailto:address@hidden 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 %^>