Smoothing implicit plots with Maxima / wxMaxima












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









$endgroup$

















    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









    $endgroup$















      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






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Dec 30 '18 at 16:31









      ChrisChris

      83




      83






















          1 Answer
          1






          active

          oldest

          votes


















          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












          Your Answer








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3056988%2fsmoothing-implicit-plots-with-maxima-wxmaxima%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          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












          $begingroup$

          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


















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3056988%2fsmoothing-implicit-plots-with-maxima-wxmaxima%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Biblatex bibliography style without URLs when DOI exists (in Overleaf with Zotero bibliography)

          ComboBox Display Member on multiple fields

          Is it possible to collect Nectar points via Trainline?