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From: Andong He on 22 Dec 2009 04:05
I created an .eps plot using MATHEMATICA, and wanna add it into my .pdf file. The plot has a rigion filled using command "RegionPlot" in MATHEMATICA. The picture looks fine in MATHEMATICA and PHOTOSHOP, but when I insert into a .tex file and generate a .pdf file, the filled region shows weird pattern of grids and diagonal lines.

How does that happen? Thanks

From: Patrick Scheibe on 26 Dec 2009 19:08
Hi,

this happens since RegionPlot does not draw one region but divides the
region to scan into smaller ones and draws polygons for every small area
which fullfils your region-inequality.

I assume your weird patterns look like these

RegionPlot[Abs[Nest[#1^2 + x + I*y & , x + I*y, 8]] < 2,
{x, -2, 1}, {y, -1.5, 1.5}, Mesh -> All, PlotPoints -> 5,
MaxRecursion -> 5, Frame -> False]

?

The problem is to force Mathematica to really plot only one region. It
is (always?) a composition of many polygons even if you (in the case of
a region plot) are only interested in one region.

Here is a quick hack.
Try to export the graphics p1 and p2 to eps and compare the drawing
speed (takes a few seconds to calculate):

p1 = RegionPlot[Abs[Nest[#1^2 + x + I*y & , x + I*y, 8]] < 2,
{x, -2, 1}, {y, -1.5, 1.5}, PlotPoints -> 30,
MaxRecursion -> 7, Frame -> False,
BoundaryStyle -> {Darker[Blue]}, PlotStyle -> Darker[Blue]]

p2 = RegionPlot[Abs[Nest[#1^2 + x + I*y & , x + I*y, 8]] < 2,
{x, -2, 1}, {y, -1.5, 1.5}, PlotPoints -> 30,
MaxRecursion -> 7, Frame -> False,
BoundaryStyle -> {Darker[Blue]}, PlotStyle -> None] /.
Line[pts__] :> Polygon[pts]

Cheers
Patrick


On Tue, 2009-12-22 at 04:05 -0500, Andong He wrote:
> I created an .eps plot using MATHEMATICA, and wanna add it into my .pdf file. The plot has a rigion filled using command "RegionPlot" in MATHEMATICA. The picture looks fine in MATHEMATICA and PHOTOSHOP, but when I insert into a .tex file and generate a .pdf file, the filled region shows weird pattern of grids and diagonal lines.
>
> How does that happen? Thanks
>


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