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RE: remicing the mesh in ParamtericPlot3D
*To*: mathgroup at smc.vnet.net
*Subject*: [mg32111] RE: [mg32102] remicing the mesh in ParamtericPlot3D
*From*: "David Park" <djmp at earthlink.net>
*Date*: Thu, 27 Dec 2001 03:34:13 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
Eric,
Yes, you can remove the mesh. But the regular Mathematica method is, to my
mind, a little ackward.
Here is a parametrization of a sphere and a plot using ParametricPlot3D.
sphere[p_, t_] := {Cos[t]Cos[p], Sin[t]Cos[p], Sin[p]}
ParametricPlot3D[Evaluate[sphere[p, t]], {p, -Pi/2, Pi/2}, {t, 0, 2Pi}];
To get with of the so-called "mesh" you really have to use EdgeForm[] and
put it in the fourth argument of the parametrization. In other words, you
have to reparametrize.
sphere2[p_, t_] := {Cos[t]Cos[p], Sin[t]Cos[p], Sin[p], EdgeForm[]}
ParametricPlot3D[Evaluate[sphere2[p, t]], {p, -Pi/2, Pi/2}, {t, 0, 2Pi}];
It is much easier using my DrawGraphics package (at my web site). You just
put any graphics directives before the ParametricDraw3D command.
Needs["DrawGraphics`DrawingMaster`"]
Draw3DItems[
{EdgeForm[],
ParametricDraw3D[
Evaluate[sphere[p, t]], {p, -Pi/2, Pi/2}, {t, 0, 2Pi}]},
Axes -> True];
DrawGraphics also has routines that allow you to smoothly fit together a
number of surfaces at curved edges.
If you need many plot points to obtain a smooth surface but want a courser
"mesh" then there is a very nice package called Smooth3D done by Allan Hayes
and Hartmut Wolf. The package can be obtained from the MathGroup archives:
http://library.wolfram.com/mathgroup/archive/2001/May/msg00292.html
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
> From: Erich Neuwirth [mailto:erich.neuwirth at univie.ac.at]
To: mathgroup at smc.vnet.net
>
> can the mesh in a ParametricPlot3D be removed?
> The returned value is not a Surface object, bt a Graphics3D object.
>
> --
> Erich Neuwirth, Computer Supported Didactics Working Group
> Visit our SunSITE at http://sunsite.univie.ac.at
> Phone: +43-1-4277-38624 Fax: +43-1-4277-9386
>
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