Transforming 2D points on to a regular grid or latticeRotate a grid, made up of lines, so that it aligns with the xy axesMake a series of points curlColor points in ListPointPlot3DCreating a grid of coloured pointsPlot colored grid3d points projected to y-z plane and colorized according x-velocity using a grid for averagingColored grid congruencesTransforming a conic to it's standard formRemoving anomalous points from data

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Transforming 2D points on to a regular grid or lattice


Rotate a grid, made up of lines, so that it aligns with the xy axesMake a series of points curlColor points in ListPointPlot3DCreating a grid of coloured pointsPlot colored grid3d points projected to y-z plane and colorized according x-velocity using a grid for averagingColored grid congruencesTransforming a conic to it's standard formRemoving anomalous points from data






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








3












$begingroup$


I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:



colors = RandomColor[100];
coords = DimensionReduce[colors, 2, Method -> "TSNE"];
ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]


enter image description here



However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.



Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?










share|improve this question









$endgroup$




















    3












    $begingroup$


    I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:



    colors = RandomColor[100];
    coords = DimensionReduce[colors, 2, Method -> "TSNE"];
    ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]


    enter image description here



    However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.



    Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?










    share|improve this question









    $endgroup$
















      3












      3








      3





      $begingroup$


      I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:



      colors = RandomColor[100];
      coords = DimensionReduce[colors, 2, Method -> "TSNE"];
      ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]


      enter image description here



      However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.



      Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?










      share|improve this question









      $endgroup$




      I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:



      colors = RandomColor[100];
      coords = DimensionReduce[colors, 2, Method -> "TSNE"];
      ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]


      enter image description here



      However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.



      Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?







      color geometric-transform dimension-reduction






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 9 hours ago









      CrêpoCrêpo

      3951 silver badge9 bronze badges




      3951 silver badge9 bronze badges























          1 Answer
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          5














          $begingroup$

          enter image description here



          It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.



          colors=RandomColor[100];
          coords=DimensionReduce[colors,2,Method->"TSNE"];

          gridStep=.5;

          ListPlot[
          Thread[Style[Round[coords,gridStep],colors]],
          PlotStyle->PointSize[.03],
          Frame->True,
          FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
          GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
          GridLinesStyle->Directive[Gray, Dashed]]





          share|improve this answer











          $endgroup$

















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            1 Answer
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            active

            oldest

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            active

            oldest

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            5














            $begingroup$

            enter image description here



            It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.



            colors=RandomColor[100];
            coords=DimensionReduce[colors,2,Method->"TSNE"];

            gridStep=.5;

            ListPlot[
            Thread[Style[Round[coords,gridStep],colors]],
            PlotStyle->PointSize[.03],
            Frame->True,
            FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
            GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
            GridLinesStyle->Directive[Gray, Dashed]]





            share|improve this answer











            $endgroup$



















              5














              $begingroup$

              enter image description here



              It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.



              colors=RandomColor[100];
              coords=DimensionReduce[colors,2,Method->"TSNE"];

              gridStep=.5;

              ListPlot[
              Thread[Style[Round[coords,gridStep],colors]],
              PlotStyle->PointSize[.03],
              Frame->True,
              FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
              GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
              GridLinesStyle->Directive[Gray, Dashed]]





              share|improve this answer











              $endgroup$

















                5














                5










                5







                $begingroup$

                enter image description here



                It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.



                colors=RandomColor[100];
                coords=DimensionReduce[colors,2,Method->"TSNE"];

                gridStep=.5;

                ListPlot[
                Thread[Style[Round[coords,gridStep],colors]],
                PlotStyle->PointSize[.03],
                Frame->True,
                FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
                GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
                GridLinesStyle->Directive[Gray, Dashed]]





                share|improve this answer











                $endgroup$



                enter image description here



                It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.



                colors=RandomColor[100];
                coords=DimensionReduce[colors,2,Method->"TSNE"];

                gridStep=.5;

                ListPlot[
                Thread[Style[Round[coords,gridStep],colors]],
                PlotStyle->PointSize[.03],
                Frame->True,
                FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
                GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
                GridLinesStyle->Directive[Gray, Dashed]]






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 2 hours ago

























                answered 2 hours ago









                Vitaliy KaurovVitaliy Kaurov

                58.9k6 gold badges166 silver badges286 bronze badges




                58.9k6 gold badges166 silver badges286 bronze badges































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