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MathGroup Archive 2007

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Re: Flat colour in RegionPlot; millions of little triangles

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81625] Re: Flat colour in RegionPlot; millions of little triangles
  • From: Chris Chiasson <chris.chiasson at gmail.com>
  • Date: Sat, 29 Sep 2007 06:26:53 -0400 (EDT)
  • References: <fdkqst$7bk$1@smc.vnet.net>

On Sep 29, 1:21 am, Will Robertson <wsp... at gmail.com> wrote:
> Hello,
>
> I'm creating a bunch RegionPlot figures at the moment and I'm a little
> concerned by the algorithm Mathematica uses to save the figure.
> Consider something like this, adapted from the RegionPlot help:
>
> RegionPlot[
>  Abs[Nest[(#^2 + x + I y) &, x + I y, 16]] < 2, {x, -2, 1}, {y, -1.5,
> 1.5}]
> Export["region-plot.svg", %];
>
> (I've chosen SVG just so I can open the image in Inkscape. The effect
> is visible in EPS and PDF images as well.)
>
> The resulting image is a funny shape that consists of millions (I
> exaggerate) of polygons that fill the region, obviously corresponding
> to the mesh used in Mathematica to create the region. However, it also
> creates a grey outline that is a *single* graphic object that is
> otherwise transparent.
>
> In Inkscape, I can delete *all* of the polygons and apply a fill
> colour to the single graphic object that defines the outline. This
> reduces the complexity and file size of the image by orders of
> magnitude with the same (or better!) output quality.
>
> Is there a way to replicate this process within Mathematica itself
> before I output to PDF? I am loath to perform this task manually in
> Inkscape every time I generate an image.
>
> Many thanks,
> Will Robertson

lol...



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