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Re: How smooth graphs?

  • To: mathgroup at
  • Subject: [mg61399] Re: [mg61385] How smooth graphs?
  • From: "Virgilio, Vincent - SSD" <Vincent.Virgilio at>
  • Date: Tue, 18 Oct 2005 02:44:42 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

The symptom ("jaggedness", "staircasing", a.k.a pixellation) sounds like
aliasing.  The following antialiasing code might help:

Vince Virgilio

-----Original Message-----
From: Murray Eisenberg [mailto:murray at]
To: mathgroup at
Subject: [mg61399] [mg61385] How smooth graphs?

A colleague, L.J. Moffitt, asked me how the graphs produced by the
following code might be smoothed so as to avoid the jaggedness,
especially the "staircasing".

(This is going to be projected, and at a typical projection resolution
of 1024 x 768, it looks even worse.)

I tried all sorts of ploys, like drastically increasing PlotPoints and
PlotDivision; lowering the Thickness in PlotStyle; and even breaking up
the domain into two subintervals, one where the graph is more level and
the other where the graph is rising rapidly.  Nothing seemed to help.

  p[x_, L_] := (50.*L)/((1000. - 1.*x)*(-9.025*^8 + L + 1000.*x^2))


    Plot[p[x,L],{x, 0, 950},
       AxesLabel->{"Inspection Rate","Robustness"},
       PlotPoints->10000, PlotDivision->50,
   {L,1000000000., 1000000000.+700000000., 10000000}]

Any suggestions that I might pass along to him?

Murray Eisenberg                     murray at
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

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