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Re: L-shaped ListContourPlot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg97272] Re: L-shaped ListContourPlot
  • From: Flavio <flavio.cimolin at gmail.com>
  • Date: Mon, 9 Mar 2009 05:18:35 -0500 (EST)
  • References: <goqpdt$lri$1@smc.vnet.net> <goqugi$ngc$1@smc.vnet.net>

Thank you for your explanation, now I understand the problem. I think
however that this kind of behaviour of ListContourPlot and
RegionFunction is quite unstable, in fact it appears for very thin
gaps of points: my example had a very raw mesh, but even if I use a
very fine mesh the same thing happens, if the interval appears to be a
little outside the data.

Kind regards,
Flavio Cimolin


On 6 Mar, 11:39, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
wrote:
> Hi,
>
> try
>
> ListContourPlot[data, ColorFunction -> "Rainbow", PlotRange -> All,
>   RegionFunction -> Function[{x, y, z}, (y < 5) || (x < 2)],
>   Epilog -> (Point[Take[#, 2]] & /@ data)]
>
> and you see that at x==2 are data points, for 2<x<16 thre are no
> data points and making a cut in the drawing where
> no data exist will cause errors in the interpolation of the
> data for drawing.
>
> Regards
>    Jens
>
> Flavio wrote:
> > Hello,
>
> > I have some pressure data coming from an external FE solver, which I
> > want to plot in Mathematica, for a L-shaped domain. I have tried to
> > use ListContourPlot (or ListDensityPlot), but I have found an
> > unexpected behaviour in controlling the shape of the domain with the
> > RegionFunction option. I am using Mathematica 6.0.
>
> > The command I use for the plot is the following:
>
> > ListContourPlot[data, ColorFunction -> "Rainbow", PlotRange -> All,
> >  RegionFunction -> Function[{x, y, z}, (y < 5) || (x < 2)]]
>
> > Now... if I keep the (x < 2), everything goes well, but if I put (x <
> > 3), instead of having an L-shaped domain, I obtain a strange oblique
> > boundary. Is there an explanation to this?
>
> > In order to test it, you can consider the following data:
>
> > data = {{0.`, 0.`, 39.99`}, {0.`, 1.`, 39.99`}, {0.`, 2.`,
> >     40.4`}, {0.`, 3.`, 42.24`}, {0.`, 4.`, 41.88`}, {2.`, 0.`,
> >     39.37`}, {2.`, 1.`, 39.32`}, {2.`, 2.`, 39.56`}, {2.`, 3.`,
> >     44.06`}, {2.`, 4.`, 41.01`}, {4.`, 0.`, 35.72`}, {4.`, 1.`,
> >     35.63`}, {4.`, 2.`, 35.48`}, {4.`, 3.`, 37.45`}, {4.`, 4.`,
> >     29.15`}, {6.`, 0.`, 30.95`}, {6.`, 1.`, 30.89`}, {6.`, 2.`,
> >     30.59`}, {6.`, 3.`, 29.59`}, {6.`, 4.`, 29.7`}, {8.`, 0.`,
> >     27.12`}, {8.`, 1.`, 27.12`}, {8.`, 2.`, 27.03`}, {8.`, 3.`,
> >     26.33`}, {8.`, 4.`, 26.99`}, {10.`, 0.`, 23.94`}, {10.`, 1.`,
> >     23.93`}, {10.`, 2.`, 23.9`}, {10.`, 3.`, 23.56`}, {10.`, 4.`,
> >     23.7`}, {12.`, 0.`, 21.05`}, {12.`, 1.`, 21.04`}, {12.`, 2.`,
> >     20.99`}, {12.`, 3.`, 20.75`}, {12.`, 4.`, 20.64`}, {14.`, 0.`,
> >     18.44`}, {14.`, 1.`, 18.42`}, {14.`, 2.`, 18.29`}, {14.`, 3.`,
> >     17.82`}, {14.`, 4.`, 17.37`}, {16.`, 0.`, 16.39`}, {16.`, 1.`,
> >     16.36`}, {16.`, 2.`, 16.07`}, {16.`, 3.`, 14.82`}, {16.`, 4.`,
> >     12.77`}, {18.`, 0.`, 15.3`}, {18.`, 1.`, 15.28`}, {18.`, 2.`,
> >     14.93`}, {18.`, 3.`, 12.67`}, {18.`, 4.`, 11.7`}, {20.`, 0.`,
> >     15.15`}, {20.`, 1.`, 15.14`}, {20.`, 2.`, 14.7`}, {20.`, 3.`,
> >     12.46`}, {20.`, 4.`, 12.08`}, {0.`, 5.`, 41.35`}, {0.`, 6.`,
> >     40.95`}, {0.`, 7.`, 40.94`}, {0.`, 8.`, 41.23`}, {0.`, 9.`,
> >     41.7`}, {2.`, 5.`, 37.5`}, {2.`, 6.`, 38.08`}, {2.`, 7.`,
> >     39.48`}, {2.`, 8.`, 40.55`}, {2.`, 9.`, 41.42`}, {17.`,
> >     5.`, -8.22`}, {17.`, 6.`, -4.96`}, {17.`, 7.`, -3.1`}, {17.`,
> >     8.`, -1.44`}, {17.`, 9.`, -0.29`}, {19.`, 5.`, 10.19`}, {19.`,
> >     6.`, 5.42`}, {19.`, 7.`, 2.01`}, {19.`, 8.`, 0.52`}, {19.`, 9.`=
,
> >     0.09`}};
>
> > Thank you for your help.
>
> > Kind regards,
> > Flavio Cimolin



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