Smoothing implicit plots with Maxima / wxMaxima












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I'm using Maxima for university mathematics and would like to improve the appearance of the graphs that it generates. Previously, when I'd used plot2d or wxplot2d, I'd see pretty, smooth plots of lines and parabolas. However, now that I'm graphing circles with implicit_plot, they're not nearly as smooth or pretty. It looks like a line that hasn't had any antialiasing applied, like so:



wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] );



Are there any flags I can pass to the {wx,}implicit_plot functions to antialias / smooth the lines drawn? I'm terribly spoilt by what I've seen PGF / TikZ can do and would like to make the same pretty graphics with (wx)Maxima.










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    $begingroup$


    I'm using Maxima for university mathematics and would like to improve the appearance of the graphs that it generates. Previously, when I'd used plot2d or wxplot2d, I'd see pretty, smooth plots of lines and parabolas. However, now that I'm graphing circles with implicit_plot, they're not nearly as smooth or pretty. It looks like a line that hasn't had any antialiasing applied, like so:



    wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] );



    Are there any flags I can pass to the {wx,}implicit_plot functions to antialias / smooth the lines drawn? I'm terribly spoilt by what I've seen PGF / TikZ can do and would like to make the same pretty graphics with (wx)Maxima.










    share|cite|improve this question









    $endgroup$















      1












      1








      1





      $begingroup$


      I'm using Maxima for university mathematics and would like to improve the appearance of the graphs that it generates. Previously, when I'd used plot2d or wxplot2d, I'd see pretty, smooth plots of lines and parabolas. However, now that I'm graphing circles with implicit_plot, they're not nearly as smooth or pretty. It looks like a line that hasn't had any antialiasing applied, like so:



      wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] );



      Are there any flags I can pass to the {wx,}implicit_plot functions to antialias / smooth the lines drawn? I'm terribly spoilt by what I've seen PGF / TikZ can do and would like to make the same pretty graphics with (wx)Maxima.










      share|cite|improve this question









      $endgroup$




      I'm using Maxima for university mathematics and would like to improve the appearance of the graphs that it generates. Previously, when I'd used plot2d or wxplot2d, I'd see pretty, smooth plots of lines and parabolas. However, now that I'm graphing circles with implicit_plot, they're not nearly as smooth or pretty. It looks like a line that hasn't had any antialiasing applied, like so:



      wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] );



      Are there any flags I can pass to the {wx,}implicit_plot functions to antialias / smooth the lines drawn? I'm terribly spoilt by what I've seen PGF / TikZ can do and would like to make the same pretty graphics with (wx)Maxima.







      graphing-functions maxima-software






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      asked Dec 30 '18 at 16:31









      ChrisChris

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          $begingroup$

          After you have loaded implicit_plot, evaluate



          ip_grid : [100,100]$
          wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] )$


          Calling wximplicit_plot like this will result in a smoother picture. The default value of ip_grid is [50, 50]; it defines the size of a grid used to build the curve.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
            $endgroup$
            – Chris
            Mar 9 at 0:40












          • $begingroup$
            No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
            $endgroup$
            – pirx
            Mar 10 at 20:33












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          $begingroup$

          After you have loaded implicit_plot, evaluate



          ip_grid : [100,100]$
          wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] )$


          Calling wximplicit_plot like this will result in a smoother picture. The default value of ip_grid is [50, 50]; it defines the size of a grid used to build the curve.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
            $endgroup$
            – Chris
            Mar 9 at 0:40












          • $begingroup$
            No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
            $endgroup$
            – pirx
            Mar 10 at 20:33
















          0












          $begingroup$

          After you have loaded implicit_plot, evaluate



          ip_grid : [100,100]$
          wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] )$


          Calling wximplicit_plot like this will result in a smoother picture. The default value of ip_grid is [50, 50]; it defines the size of a grid used to build the curve.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
            $endgroup$
            – Chris
            Mar 9 at 0:40












          • $begingroup$
            No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
            $endgroup$
            – pirx
            Mar 10 at 20:33














          0












          0








          0





          $begingroup$

          After you have loaded implicit_plot, evaluate



          ip_grid : [100,100]$
          wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] )$


          Calling wximplicit_plot like this will result in a smoother picture. The default value of ip_grid is [50, 50]; it defines the size of a grid used to build the curve.






          share|cite|improve this answer









          $endgroup$



          After you have loaded implicit_plot, evaluate



          ip_grid : [100,100]$
          wximplicit_plot( (x-1)^2 + y^2 = 3, [x, -6, 6], [y, -6, 6] )$


          Calling wximplicit_plot like this will result in a smoother picture. The default value of ip_grid is [50, 50]; it defines the size of a grid used to build the curve.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Mar 7 at 21:18









          pirxpirx

          11




          11












          • $begingroup$
            Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
            $endgroup$
            – Chris
            Mar 9 at 0:40












          • $begingroup$
            No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
            $endgroup$
            – pirx
            Mar 10 at 20:33


















          • $begingroup$
            Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
            $endgroup$
            – Chris
            Mar 9 at 0:40












          • $begingroup$
            No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
            $endgroup$
            – pirx
            Mar 10 at 20:33
















          $begingroup$
          Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
          $endgroup$
          – Chris
          Mar 9 at 0:40






          $begingroup$
          Using ip_grid does provide some smoothing, but it doesn't quite smooth things the way I would hope. I'm guessing this just isn't supported.
          $endgroup$
          – Chris
          Mar 9 at 0:40














          $begingroup$
          No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
          $endgroup$
          – pirx
          Mar 10 at 20:33




          $begingroup$
          No, apparently you won't get the TikZ-like vector output from it. Consulting the source of implicit_plot (sitting in /usr/share/maxima/5.42.2/share/contrib/implicit_plot.lisp for me) shows that the routine uses two sampling procedures, on the global and local level, to determine the sign changes of the expression to be plotted.
          $endgroup$
          – pirx
          Mar 10 at 20:33


















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