kcrisman wrote: > > > On Oct 13, 6:05 pm, "[email protected]" <[email protected]> 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.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 --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
