Transforming 2D points on to a regular grid or latticeRotate a grid, made up of lines, so that it aligns with...

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Transforming 2D points on to a regular grid or lattice

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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;
}







4












$begingroup$


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, to make something like this:



enter image description here



(this is just a mockup)



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











$endgroup$





















    4












    $begingroup$


    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, to make something like this:



    enter image description here



    (this is just a mockup)



    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











    $endgroup$

















      4












      4








      4





      $begingroup$


      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, to make something like this:



      enter image description here



      (this is just a mockup)



      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, to make something like this:



      enter image description here



      (this is just a mockup)



      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








      edited 1 hour ago







      Crêpo

















      asked 10 hours ago









      CrêpoCrêpo

      4001 silver badge9 bronze badges




      4001 silver badge9 bronze badges

























          1 Answer
          1






          active

          oldest

          votes


















          6














          $begingroup$

          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











          $endgroup$















          • $begingroup$
            You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
            $endgroup$
            – Crêpo
            59 mins ago














          Your Answer








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          1 Answer
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          active

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          active

          oldest

          votes






          active

          oldest

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          6














          $begingroup$

          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











          $endgroup$















          • $begingroup$
            You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
            $endgroup$
            – Crêpo
            59 mins ago
















          6














          $begingroup$

          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











          $endgroup$















          • $begingroup$
            You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
            $endgroup$
            – Crêpo
            59 mins ago














          6














          6










          6







          $begingroup$

          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 3 hours ago

























          answered 3 hours ago









          Vitaliy KaurovVitaliy Kaurov

          58.9k6 gold badges166 silver badges286 bronze badges




          58.9k6 gold badges166 silver badges286 bronze badges















          • $begingroup$
            You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
            $endgroup$
            – Crêpo
            59 mins ago


















          • $begingroup$
            You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
            $endgroup$
            – Crêpo
            59 mins ago
















          $begingroup$
          You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
          $endgroup$
          – Crêpo
          59 mins ago




          $begingroup$
          You're right the question was super unclear. I've made a mockup to try and illustrate what I'm after. I want to transform the data such that it's uniformly distributed across a grid or lattice.
          $endgroup$
          – Crêpo
          59 mins ago



















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