How to convert a ListContourPlot into primitive usable with Graphics3D?












4












$begingroup$


Consider a dataset such as the one you can find here. Using ListContourPlot on this dataset we get something like the following:



enter image description here



What I want is to have this same image, but as a primitive that can be embedded in a Graphics3D, so that I can for example stack a number of such images on top of each other.



Is there any easy way to do that?










share|improve this question









$endgroup$

















    4












    $begingroup$


    Consider a dataset such as the one you can find here. Using ListContourPlot on this dataset we get something like the following:



    enter image description here



    What I want is to have this same image, but as a primitive that can be embedded in a Graphics3D, so that I can for example stack a number of such images on top of each other.



    Is there any easy way to do that?










    share|improve this question









    $endgroup$















      4












      4








      4





      $begingroup$


      Consider a dataset such as the one you can find here. Using ListContourPlot on this dataset we get something like the following:



      enter image description here



      What I want is to have this same image, but as a primitive that can be embedded in a Graphics3D, so that I can for example stack a number of such images on top of each other.



      Is there any easy way to do that?










      share|improve this question









      $endgroup$




      Consider a dataset such as the one you can find here. Using ListContourPlot on this dataset we get something like the following:



      enter image description here



      What I want is to have this same image, but as a primitive that can be embedded in a Graphics3D, so that I can for example stack a number of such images on top of each other.



      Is there any easy way to do that?







      plotting graphics graphics3d






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 6 hours ago









      glSglS

      4,96411144




      4,96411144






















          2 Answers
          2






          active

          oldest

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          3












          $begingroup$

          Consider modifying your data by adding a dummy $z$ value, used as a sort of index to each dataset, then using ListSliceContourPlot3D:



          Flatten[{{#1, #2, -3, #3}& @@@ data, {#1, #2, 3, 2 #3}& @@@ data}, 1];

          ListSliceContourPlot3D[
          %,
          {"ZStackedPlanes", {-3, 3}},
          PlotRange -> {Automatic, Automatic, {-6, 6}}
          ]


          Mathematica graphics



          Here I am arbitrarily positioning your original data on the $z=-3$ plane; then creating a new dataset by simply multiplying your original $z$ values by an arbitrary constant, just to have something else to plot.






          share|improve this answer











          $endgroup$





















            1












            $begingroup$

            Here is another possibility if you really want to use Graphics3D with 2D contour plots. I think MarcoB's answer is probably the best, but it might depend on exactly what you're doing with your data.



            I define dat to be the data you linked to on PasteBin.



            plot = ListContourPlot[dat, AspectRatio -> 1/2, 
            ColorFunction -> "TemperatureMap", PlotRangePadding -> 0]


            Contour plot of OP's data.



            Show[
            Graphics3D[{
            Texture[plot],
            Polygon[{{0, 0, 0}, {2, 0, 0}, {2, 1, 0}, {0, 1, 0}},
            VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
            Texture[plot],
            Polygon[{{0, 0, 0.5}, {2, 0, 0.5}, {2, 1, 0.5}, {0, 1, 0.5}},
            VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
            Texture[plot],
            Polygon[{{0, 0, 1}, {2, 0, 1}, {2, 1, 1}, {0, 1, 1}},
            VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}]
            }],
            Lighting -> {"Ambient", White}
            ]


            Using the Texture option in Graphics3D, I can add the plot as the texture of a 2D polygon in 3D space. I believe it will stretch the texture to fit the polygon as long as you specify the VertexTextureCoordinates to be the 4 corners.



            Contour plots in 3D space.



            Of course you can make the white border transparent if you prefer, and other tweaks like changing the aspect ratio, etc.






            share|improve this answer









            $endgroup$













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              2 Answers
              2






              active

              oldest

              votes








              2 Answers
              2






              active

              oldest

              votes









              active

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              votes






              active

              oldest

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              3












              $begingroup$

              Consider modifying your data by adding a dummy $z$ value, used as a sort of index to each dataset, then using ListSliceContourPlot3D:



              Flatten[{{#1, #2, -3, #3}& @@@ data, {#1, #2, 3, 2 #3}& @@@ data}, 1];

              ListSliceContourPlot3D[
              %,
              {"ZStackedPlanes", {-3, 3}},
              PlotRange -> {Automatic, Automatic, {-6, 6}}
              ]


              Mathematica graphics



              Here I am arbitrarily positioning your original data on the $z=-3$ plane; then creating a new dataset by simply multiplying your original $z$ values by an arbitrary constant, just to have something else to plot.






              share|improve this answer











              $endgroup$


















                3












                $begingroup$

                Consider modifying your data by adding a dummy $z$ value, used as a sort of index to each dataset, then using ListSliceContourPlot3D:



                Flatten[{{#1, #2, -3, #3}& @@@ data, {#1, #2, 3, 2 #3}& @@@ data}, 1];

                ListSliceContourPlot3D[
                %,
                {"ZStackedPlanes", {-3, 3}},
                PlotRange -> {Automatic, Automatic, {-6, 6}}
                ]


                Mathematica graphics



                Here I am arbitrarily positioning your original data on the $z=-3$ plane; then creating a new dataset by simply multiplying your original $z$ values by an arbitrary constant, just to have something else to plot.






                share|improve this answer











                $endgroup$
















                  3












                  3








                  3





                  $begingroup$

                  Consider modifying your data by adding a dummy $z$ value, used as a sort of index to each dataset, then using ListSliceContourPlot3D:



                  Flatten[{{#1, #2, -3, #3}& @@@ data, {#1, #2, 3, 2 #3}& @@@ data}, 1];

                  ListSliceContourPlot3D[
                  %,
                  {"ZStackedPlanes", {-3, 3}},
                  PlotRange -> {Automatic, Automatic, {-6, 6}}
                  ]


                  Mathematica graphics



                  Here I am arbitrarily positioning your original data on the $z=-3$ plane; then creating a new dataset by simply multiplying your original $z$ values by an arbitrary constant, just to have something else to plot.






                  share|improve this answer











                  $endgroup$



                  Consider modifying your data by adding a dummy $z$ value, used as a sort of index to each dataset, then using ListSliceContourPlot3D:



                  Flatten[{{#1, #2, -3, #3}& @@@ data, {#1, #2, 3, 2 #3}& @@@ data}, 1];

                  ListSliceContourPlot3D[
                  %,
                  {"ZStackedPlanes", {-3, 3}},
                  PlotRange -> {Automatic, Automatic, {-6, 6}}
                  ]


                  Mathematica graphics



                  Here I am arbitrarily positioning your original data on the $z=-3$ plane; then creating a new dataset by simply multiplying your original $z$ values by an arbitrary constant, just to have something else to plot.







                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited 5 hours ago

























                  answered 5 hours ago









                  MarcoBMarcoB

                  36.4k556112




                  36.4k556112























                      1












                      $begingroup$

                      Here is another possibility if you really want to use Graphics3D with 2D contour plots. I think MarcoB's answer is probably the best, but it might depend on exactly what you're doing with your data.



                      I define dat to be the data you linked to on PasteBin.



                      plot = ListContourPlot[dat, AspectRatio -> 1/2, 
                      ColorFunction -> "TemperatureMap", PlotRangePadding -> 0]


                      Contour plot of OP's data.



                      Show[
                      Graphics3D[{
                      Texture[plot],
                      Polygon[{{0, 0, 0}, {2, 0, 0}, {2, 1, 0}, {0, 1, 0}},
                      VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                      Texture[plot],
                      Polygon[{{0, 0, 0.5}, {2, 0, 0.5}, {2, 1, 0.5}, {0, 1, 0.5}},
                      VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                      Texture[plot],
                      Polygon[{{0, 0, 1}, {2, 0, 1}, {2, 1, 1}, {0, 1, 1}},
                      VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}]
                      }],
                      Lighting -> {"Ambient", White}
                      ]


                      Using the Texture option in Graphics3D, I can add the plot as the texture of a 2D polygon in 3D space. I believe it will stretch the texture to fit the polygon as long as you specify the VertexTextureCoordinates to be the 4 corners.



                      Contour plots in 3D space.



                      Of course you can make the white border transparent if you prefer, and other tweaks like changing the aspect ratio, etc.






                      share|improve this answer









                      $endgroup$


















                        1












                        $begingroup$

                        Here is another possibility if you really want to use Graphics3D with 2D contour plots. I think MarcoB's answer is probably the best, but it might depend on exactly what you're doing with your data.



                        I define dat to be the data you linked to on PasteBin.



                        plot = ListContourPlot[dat, AspectRatio -> 1/2, 
                        ColorFunction -> "TemperatureMap", PlotRangePadding -> 0]


                        Contour plot of OP's data.



                        Show[
                        Graphics3D[{
                        Texture[plot],
                        Polygon[{{0, 0, 0}, {2, 0, 0}, {2, 1, 0}, {0, 1, 0}},
                        VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                        Texture[plot],
                        Polygon[{{0, 0, 0.5}, {2, 0, 0.5}, {2, 1, 0.5}, {0, 1, 0.5}},
                        VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                        Texture[plot],
                        Polygon[{{0, 0, 1}, {2, 0, 1}, {2, 1, 1}, {0, 1, 1}},
                        VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}]
                        }],
                        Lighting -> {"Ambient", White}
                        ]


                        Using the Texture option in Graphics3D, I can add the plot as the texture of a 2D polygon in 3D space. I believe it will stretch the texture to fit the polygon as long as you specify the VertexTextureCoordinates to be the 4 corners.



                        Contour plots in 3D space.



                        Of course you can make the white border transparent if you prefer, and other tweaks like changing the aspect ratio, etc.






                        share|improve this answer









                        $endgroup$
















                          1












                          1








                          1





                          $begingroup$

                          Here is another possibility if you really want to use Graphics3D with 2D contour plots. I think MarcoB's answer is probably the best, but it might depend on exactly what you're doing with your data.



                          I define dat to be the data you linked to on PasteBin.



                          plot = ListContourPlot[dat, AspectRatio -> 1/2, 
                          ColorFunction -> "TemperatureMap", PlotRangePadding -> 0]


                          Contour plot of OP's data.



                          Show[
                          Graphics3D[{
                          Texture[plot],
                          Polygon[{{0, 0, 0}, {2, 0, 0}, {2, 1, 0}, {0, 1, 0}},
                          VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                          Texture[plot],
                          Polygon[{{0, 0, 0.5}, {2, 0, 0.5}, {2, 1, 0.5}, {0, 1, 0.5}},
                          VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                          Texture[plot],
                          Polygon[{{0, 0, 1}, {2, 0, 1}, {2, 1, 1}, {0, 1, 1}},
                          VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}]
                          }],
                          Lighting -> {"Ambient", White}
                          ]


                          Using the Texture option in Graphics3D, I can add the plot as the texture of a 2D polygon in 3D space. I believe it will stretch the texture to fit the polygon as long as you specify the VertexTextureCoordinates to be the 4 corners.



                          Contour plots in 3D space.



                          Of course you can make the white border transparent if you prefer, and other tweaks like changing the aspect ratio, etc.






                          share|improve this answer









                          $endgroup$



                          Here is another possibility if you really want to use Graphics3D with 2D contour plots. I think MarcoB's answer is probably the best, but it might depend on exactly what you're doing with your data.



                          I define dat to be the data you linked to on PasteBin.



                          plot = ListContourPlot[dat, AspectRatio -> 1/2, 
                          ColorFunction -> "TemperatureMap", PlotRangePadding -> 0]


                          Contour plot of OP's data.



                          Show[
                          Graphics3D[{
                          Texture[plot],
                          Polygon[{{0, 0, 0}, {2, 0, 0}, {2, 1, 0}, {0, 1, 0}},
                          VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                          Texture[plot],
                          Polygon[{{0, 0, 0.5}, {2, 0, 0.5}, {2, 1, 0.5}, {0, 1, 0.5}},
                          VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}],
                          Texture[plot],
                          Polygon[{{0, 0, 1}, {2, 0, 1}, {2, 1, 1}, {0, 1, 1}},
                          VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}]
                          }],
                          Lighting -> {"Ambient", White}
                          ]


                          Using the Texture option in Graphics3D, I can add the plot as the texture of a 2D polygon in 3D space. I believe it will stretch the texture to fit the polygon as long as you specify the VertexTextureCoordinates to be the 4 corners.



                          Contour plots in 3D space.



                          Of course you can make the white border transparent if you prefer, and other tweaks like changing the aspect ratio, etc.







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 5 hours ago









                          MassDefectMassDefect

                          1,688310




                          1,688310






























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