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Re: Re: Re: Extracting contour values from

  • To: mathgroup at smc.vnet.net
  • Subject: [mg100838] Re: [mg100834] Re: [mg100808] Re: Extracting contour values from
  • From: Syd Geraghty <sydgeraghty at me.com>
  • Date: Tue, 16 Jun 2009 21:48:58 -0400 (EDT)
  • References: <h12gg4$ect$1@smc.vnet.net> <200906150119.VAA11428@smc.vnet.net>

Hi Curtis,

The solution provided by Yan Zhuang was embarrassingly easy to  
implement, use MaxRecursion:-



ContourPlot[Cos[x*y], {x, -Pi, Pi}, {y, -Pi, Pi}, MaxRecursion -> 6]



 >>You could try to use MaxRecursion option for ContourPlot.  I have  
attached
 >>a notebook to show the result.	

 >>Sincerely,

 >>Ms. Yan Zhuang, Ph.D.
 >>Technical Support
 >>Wolfram Research, Inc.

It is intriguing to note that you really do need the value of  
MaxRecursion >5 to erase this ContourPlot "artifact"!

Also with MaxRecursion -> {0,1} the plot is different than without the  
option! Try:-

Table[ContourPlot[Cos[x*y], {x, -Pi, Pi}, {y, -Pi, Pi},  MaxRecursion - 
 > i], {i, 0,6,1}]

Also:

WorkingPrecision-> n (where n<1000) does not affect the result.

Neither does PerformanceGoal -> "Quality".

My thanks to Yan for a prompt and precise solution.

I suggest however that in the interests of continuous improvement of  
the Mathematica I love that whatever is causing this behaviour is  
fixed in a future release.

Cheers ... Syd


Syd Geraghty B.Sc, M.Sc.

sydgeraghty at mac.com

Mathematica 7.0.1 for Mac OS X x86 (64 - bit) (18th February 2009)
MacOS X V 10.5.6
MacBook Pro 2.33 GHz Intel Core 2 Duo  2GB RAM




On Jun 15, 2009, at 12:21 PM, Curtis Osterhoudt wrote:

> Yup. Shows up here, too (7.0.0 on a linux system). It can be  
> somewhat remediated by explicitly giving a relatively large (and  
> odd) number of PlotPoints, like PlotPoints->99. The hole in the  
> middle will be filled in--mostly.
>


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