Calculate of total length of edges in Voronoi diagram












5












$begingroup$


Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?










share|improve this question







New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    4 hours ago
















5












$begingroup$


Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?










share|improve this question







New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    4 hours ago














5












5








5





$begingroup$


Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?










share|improve this question







New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Does anyone have any suggestions how to determine the total sum of edges length in a Voronoi diagram?







computational-geometry






share|improve this question







New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question







New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question






New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 4 hours ago









Mati GerMati Ger

261




261




New contributor




Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    4 hours ago


















  • $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    4 hours ago
















$begingroup$
Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
$endgroup$
– m_goldberg
4 hours ago




$begingroup$
Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
$endgroup$
– m_goldberg
4 hours ago










2 Answers
2






active

oldest

votes


















5












$begingroup$

SeedRandom[1234];
R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
Total[PropertyValue[{R, 1}, MeshCellMeasure]]



31.1601







share|improve this answer









$endgroup$





















    5












    $begingroup$

    SeedRandom[1]
    pts = RandomReal[{-1, 1}, {5, 2}];
    vm = VoronoiMesh[pts]


    You can use the property "EdgeLengths":



    Total @ vm["EdgeLengths"]



    12.2894




    If you need the lengths of individual edges:



    lengths = RegionMeasure /@ MeshPrimitives[vm, 1]



    {0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}




    Total[lengths]



    12.2894




    Alternatively, you can use ArcLength in place of RegionMeasure:



    lengths == ArcLength /@ MeshPrimitives[vm, 1]
    True





    share|improve this answer











    $endgroup$













      Your Answer





      StackExchange.ifUsing("editor", function () {
      return StackExchange.using("mathjaxEditing", function () {
      StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
      StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
      });
      });
      }, "mathjax-editing");

      StackExchange.ready(function() {
      var channelOptions = {
      tags: "".split(" "),
      id: "387"
      };
      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: false,
      noModals: true,
      showLowRepImageUploadWarning: true,
      reputationToPostImages: null,
      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
      },
      onDemand: true,
      discardSelector: ".discard-answer"
      ,immediatelyShowMarkdownHelp:true
      });


      }
      });






      Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.










      draft saved

      draft discarded


















      StackExchange.ready(
      function () {
      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f192207%2fcalculate-of-total-length-of-edges-in-voronoi-diagram%23new-answer', 'question_page');
      }
      );

      Post as a guest















      Required, but never shown

























      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      5












      $begingroup$

      SeedRandom[1234];
      R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
      Total[PropertyValue[{R, 1}, MeshCellMeasure]]



      31.1601







      share|improve this answer









      $endgroup$


















        5












        $begingroup$

        SeedRandom[1234];
        R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
        Total[PropertyValue[{R, 1}, MeshCellMeasure]]



        31.1601







        share|improve this answer









        $endgroup$
















          5












          5








          5





          $begingroup$

          SeedRandom[1234];
          R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
          Total[PropertyValue[{R, 1}, MeshCellMeasure]]



          31.1601







          share|improve this answer









          $endgroup$



          SeedRandom[1234];
          R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];
          Total[PropertyValue[{R, 1}, MeshCellMeasure]]



          31.1601








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 4 hours ago









          Henrik SchumacherHenrik Schumacher

          54.9k474153




          54.9k474153























              5












              $begingroup$

              SeedRandom[1]
              pts = RandomReal[{-1, 1}, {5, 2}];
              vm = VoronoiMesh[pts]


              You can use the property "EdgeLengths":



              Total @ vm["EdgeLengths"]



              12.2894




              If you need the lengths of individual edges:



              lengths = RegionMeasure /@ MeshPrimitives[vm, 1]



              {0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}




              Total[lengths]



              12.2894




              Alternatively, you can use ArcLength in place of RegionMeasure:



              lengths == ArcLength /@ MeshPrimitives[vm, 1]
              True





              share|improve this answer











              $endgroup$


















                5












                $begingroup$

                SeedRandom[1]
                pts = RandomReal[{-1, 1}, {5, 2}];
                vm = VoronoiMesh[pts]


                You can use the property "EdgeLengths":



                Total @ vm["EdgeLengths"]



                12.2894




                If you need the lengths of individual edges:



                lengths = RegionMeasure /@ MeshPrimitives[vm, 1]



                {0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}




                Total[lengths]



                12.2894




                Alternatively, you can use ArcLength in place of RegionMeasure:



                lengths == ArcLength /@ MeshPrimitives[vm, 1]
                True





                share|improve this answer











                $endgroup$
















                  5












                  5








                  5





                  $begingroup$

                  SeedRandom[1]
                  pts = RandomReal[{-1, 1}, {5, 2}];
                  vm = VoronoiMesh[pts]


                  You can use the property "EdgeLengths":



                  Total @ vm["EdgeLengths"]



                  12.2894




                  If you need the lengths of individual edges:



                  lengths = RegionMeasure /@ MeshPrimitives[vm, 1]



                  {0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}




                  Total[lengths]



                  12.2894




                  Alternatively, you can use ArcLength in place of RegionMeasure:



                  lengths == ArcLength /@ MeshPrimitives[vm, 1]
                  True





                  share|improve this answer











                  $endgroup$



                  SeedRandom[1]
                  pts = RandomReal[{-1, 1}, {5, 2}];
                  vm = VoronoiMesh[pts]


                  You can use the property "EdgeLengths":



                  Total @ vm["EdgeLengths"]



                  12.2894




                  If you need the lengths of individual edges:



                  lengths = RegionMeasure /@ MeshPrimitives[vm, 1]



                  {0.60034, 0.672996, 0.403197, 0.793131, 0.596543, 0.920977, 1.03974, 1.12238, 0.322772, 1.05995, 0.854316, 0.985915, 0.0806386, 0.844254, 0.264125, 1.72809}




                  Total[lengths]



                  12.2894




                  Alternatively, you can use ArcLength in place of RegionMeasure:



                  lengths == ArcLength /@ MeshPrimitives[vm, 1]
                  True






                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited 1 hour ago

























                  answered 4 hours ago









                  kglrkglr

                  186k10202421




                  186k10202421






















                      Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.










                      draft saved

                      draft discarded


















                      Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.













                      Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.












                      Mati Ger is a new contributor. Be nice, and check out our Code of Conduct.
















                      Thanks for contributing an answer to Mathematica 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%2fmathematica.stackexchange.com%2fquestions%2f192207%2fcalculate-of-total-length-of-edges-in-voronoi-diagram%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

                      How to label and detect the document text images

                      Vallis Paradisi

                      Tabula Rosettana