> "GA" == GRAHAM ASHER writes:
GA> Some reasons this hasn't made very many waves;
GA> 1. My impression is that nearly all actual fonts are TrueType these
GA> days. TrueType does't use cubic splines. It uses quadratics only.
Cubic fonts remain an important sector, especially for print and f
nd s-coordinates with the same sign.
Graham
- Original Message
From: Werner LEMBERG
To: david.be...@pb.com
Cc: graham.as...@btinternet.com; freetype-devel@nongnu.org
Sent: Tuesday, 31 August, 2010 14:29:49
Subject: Re: [ft-devel] a satisfactory fix for the cubic spline bug
> If I
: Tuesday, 31 August, 2010 17:07:52
Subject: Re: [ft-devel] a satisfactory fix for the cubic spline bug
Can you give the workings? The equation I think you mean is this one:
0.07200(v + 3.180556)v + 0.449000,
so when I substitute 0.1 for v I get
0.07200(0.1 + 3.180556)0.1 + 0.449000
which gives
e roots, posing more problems for integer overflow and speed.
>
> If you can code up a better fix than mine, using one of the algorithms you
> cite,
> I will be very happy to withdraw my suggestion in favour of yours. I think
> an
> insuperable difficulty will be the possibility of
> If I was managing this project, I would certainly consider this an
> unacceptable approach / sequence of events.
Usually, I'm quite conservative, and Graham has provided a lot of
useful additions to the FreeType code. I trust him to fix that in due
course.
> Better to keep the inefficiency th
ack in the pre-history of FT, since it is obviously of critical
> importance for
> correct output.
>
> Since it apparently hasn't been, we can make use of the latest research.
>
> David %^>
>
>
> > -Original Message-
> > From: freetype-devel-
12:18:45
Subject: Re: [ft-devel] a satisfactory fix for the cubic spline bug
David,
Thank you very much for the citations, which are very interesting, but I don't
think anybody is proposing reinventing anything - least of all me. The problem
here is not whether there are known rigorous m
> Naively, I had assumed that this sort of issue would have been
> resolved properly back in the pre-history of FT, since it is
> obviously of critical importance for correct output.
Well, Graham tries to make FreeType faster than the originally used
(and working) algorithm.
> Since it apparentl
al Message
From: David Bevan
To: freetype-devel
Sent: Tuesday, 31 August, 2010 9:14:36
Subject: RE: [ft-devel] a satisfactory fix for the cubic spline bug
Rather than piecemeal reinventing of the wheel, I would have thought that FT
should implement a mathematically rigorous flattener. The follo
el
> Subject: [ft-devel] a satisfactory fix for the cubic spline bug
>
> I thought about this overnight and realised that we can slightly modify
> the existing heuristic to get a much simpler fix. Instead of trying to
> find points on the curve or trying to measure the distance from a
I thought about this overnight and realised that we can slightly modify
the existing heuristic to get a much simpler fix. Instead of trying to
find points on the curve or trying to measure the distance from a point
to a straight line, we adapt the earlier idea, used in existing FreeType
code, o
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