[metapost] MF interpolation instability
jacko at bop.com.pl
Fri Jun 21 10:12:48 CEST 2013
> Also I don't know if it make sense, but at least it looks symmetric and
> it's correct.
Very many thanks, Luigi! Your examples are very useful as an argument
that, in principle, polygonal pen envelopes can be calculated correctly,
at least the asymmetry reported by Stephan is not unavoidable.
There is a tough problem, however, with the endpoints, as this requires
employing a "removing overlaps" procedure which, as the experience shows,
was nowhere implemented robustly as yet.
Alternatively (and rather ugly), we could decide that additional paths,
namely, pen countours, are being drawn at the endpoints.
Cheers -- Jacko
Ps. As to removing overlaps, a few years ago I suggested that the procedure
finding a common outline could be a hybrid creature, i.e., it could
operate on both outlines and a bitmap, using the bitmap as an auxiliary
mean to decide which segments of the outline are relevant. I still believe
that it might be a satisfactory solution, unfortunately, I haven't
tackled the problem seriously yet, sorry...
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