Calculate of total length of edges in Voronoi diagram












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






computational-geometry







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6












$begingroup$


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






computational-geometry







share|improve this question







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Mati Ger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • $begingroup$
    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
    6 hours ago














6












6








6





$begingroup$


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.







$endgroup$




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






computational-geometry




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







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asked 6 hours ago









Mati GerMati Ger

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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.






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  • $begingroup$
    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
    6 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
    6 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
6 hours ago




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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.
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– m_goldberg
6 hours ago










2 Answers
2






active

oldest

votes


















6












$begingroup$

SeedRandom[1234];

R = VoronoiMesh[RandomReal[{-1, 1}, {20, 2}]];

Total[PropertyValue[{R, 1}, MeshCellMeasure]]



31.1601







share|improve this answer









$endgroup$





















    6












    $begingroup$

    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











    $endgroup$













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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      6












      $begingroup$

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



      31.1601







      share|improve this answer









      $endgroup$


















        6












        $begingroup$

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



        31.1601







        share|improve this answer









        $endgroup$
















          6












          6








          6





          $begingroup$

          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 5 hours ago









          Henrik SchumacherHenrik Schumacher

          54.9k474153




          54.9k474153























              6












              $begingroup$

              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











              $endgroup$


















                6












                $begingroup$

                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











                $endgroup$
















                  6












                  6








                  6





                  $begingroup$

                  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 3 hours ago

























                  answered 5 hours ago









                  kglrkglr

                  186k10202421




                  186k10202421






















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