On Tue, Oct 13, 2009 at 7:44 PM, Jason Grout
<jason-s...@creativetrax.com> wrote:
>
> kcrisman wrote:
>>
>>
>> On Oct 13, 6:05 pm, "ma...@mendelu.cz" <ma...@mendelu.cz> wrote:
>>> Hello all, is there any other possibility how to plot implicit
>>> function than implicitplot?
>>>
>>> I do not like implicitplot too much, since it is in fact countourplot
>>> and it is not easy to set the color (for example).
>>
>> There is not currently any other way to do this, I think.  A colleague
>> of mine has some experimental code to implicit plot the "right" way
>> (by following derivatives around and spot-checking nearby to not miss
>> components, I guess), but doesn't consider it ready for prime time
>> yet.
>
>
> How do you do an implicit plot "right"?  Scipy has tools for numerical
> integration (you mention following derivatives), if that helps.

I think what the user wants is to be able to *work with* contour plots
in the same way one can work with normal plots.  E.g., set the color.
Right now they are always black, right?  Etc.

>
> A quick google search turns up several references to software:
> http://geomblog.blogspot.com/2008/01/plotting-implicit-functions-bleg.html
>
> The maple help page may help:
> http://www.maplesoft.com/support/help/Maple/view.aspx?path=plots/implicitplot
>
> This issue has come up before on the list (and Josh Kantor gave an
> algorithm and a reference):
> https://groups.google.com/group/sage-devel/browse_thread/thread/6b1d3d0f06db9c6a
>
> More references and algorithms:
> http://www.tangentspace.net/cz/archives/2007/08/implicit-plotting-code-for-mathematica/
>
> Mma also says: ContourPlot initially evaluates f at a grid of equally
> spaced sample points specified by PlotPoints. Then it uses an adaptive
> algorithm to subdivide at most MaxRecursion times to generate smooth
> contours. http://reference.wolfram.com/mathematica/ref/ContourPlot.html
>
> Jason
>
>
> --
> Jason Grout
>
>
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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