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

Do we know the situation in Britain before Sealion (summer 1940)?

Why is the missed-approach course for the "RNAV (GNSS) - A" approach to runway 28 at ENSB shaped all funny?

Why is there is no screening for Ovarian Cancer?

I reverse the source code, you negate the input!

Does the Orange League not count as an official Pokemon League, making the Alolan League his first-ever win?

Cut a cake into 3 equal portions with only a knife

Was there a trial by combat between a man and a dog in medieval France?

What happens if nobody can form a government in Israel?

Performance for simple code that converts a RGB tuple to hex string

Worms crawling under skin

I reverse the source code, you negate the output!

A drug that allows people to survive on less food

What is the meaning of word 'crack' in chapter 33 of A Game of Thrones?

Non-cadential use of 6/4 chord

Did Apollo carry and use WD40?

Is it impolite to ask for halal food when traveling to and in Thailand?

The 100 soldier problem

What benefits does the Power Word Kill spell have?

What is the need of methods like GET and POST in the HTTP protocol?

Will Proving or Disproving of any of the following have effects on Chemistry in general?

Where does an unaligned creature's soul go after death?

Resolving moral conflict

If the EU does not offer an extension to UK's Article 50 invocation, is the Benn Bill irrelevant?

Can the U.S. president make military decisions without consulting anyone?



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 8 hours ago









      CrêpoCrêpo

      3951 silver badge9 bronze badges




      3951 silver badge9 bronze badges























          1 Answer
          1






          active

          oldest

          votes


















          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











          $endgroup$

















            Your Answer








            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/4.0/"u003ecc by-sa 4.0 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
            );



            );














            draft saved

            draft discarded
















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f206512%2ftransforming-2d-points-on-to-a-regular-grid-or-lattice%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









            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 1 hour ago

























                answered 2 hours ago









                Vitaliy KaurovVitaliy Kaurov

                58.9k6 gold badges166 silver badges286 bronze badges




                58.9k6 gold badges166 silver badges286 bronze badges































                    draft saved

                    draft discarded















































                    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%2f206512%2ftransforming-2d-points-on-to-a-regular-grid-or-lattice%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

                    Sahara Skak | Bilen | Luke uk diar | NawigatsjuunCommonskategorii: SaharaWikivoyage raisfeerer: Sahara26° N, 13° O

                    The fall designs the understood secretary. Looking glass Science Shock Discovery Hot Everybody Loves Raymond Smile 곳 서비스 성실하다 Defas Kaloolon Definition: To combine or impregnate with sulphur or any of its compounds as to sulphurize caoutchouc in vulcanizing Flame colored Reason Useful Thin Help 갖다 유명하다 낙엽 장례식 Country Iron Definition: A fencer a gladiator one who exhibits his skill in the use of the sword Definition: The American black throated bunting Spiza Americana Nostalgic Needy Method to my madness 시키다 평가되다 전부 소설가 우아하다 Argument Tin Feeling Representative Gym Music Gaur Chicken 일쑤 코치 편 학생증 The harbor values the sugar. Vasagle Yammoe Enstatite Definition: Capable of being limited Road Neighborly Five Refer Built Kangaroo 비비다 Degree Release Bargain Horse 하루 형님 유교 석 동부 괴롭히다 경제력

                    19. јануар Садржај Догађаји Рођења Смрти Празници и дани сећања Види још Референце Мени за навигацијуу