On Oct 13, 10:44 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.
>
> A quick google search turns up several references to
> software:http://geomblog.blogspot.com/2008/01/plotting-implicit-functions-bleg...
>
> The maple help page may
> help:http://www.maplesoft.com/support/help/Maple/view.aspx?path=plots/impl...
>
> 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/6b1d3...
>
> More references and
> algorithms:http://www.tangentspace.net/cz/archives/2007/08/implicit-plotting-cod...
>
> 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
>
Yes to all the above.
- kcrisman
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