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Geography in 3D perspective


Can A Plot Be Overlayed With A Map?Applying the Four-color Theorem to the map of Florida













5












$begingroup$


I would like to build a GeoGraphics map showing a z-elevated perspective (e.g. the view from a plane). Specifically, I'm looking to use multiple GeoMarker's (with custom graphics) in the pseudo-3D perspective.



For example, consider this plot of the Eiffel Tower:



enter image description here



I would like to reproduce it in a 3D perspective like this:



enter image description here



Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.










share|improve this question











$endgroup$
















    5












    $begingroup$


    I would like to build a GeoGraphics map showing a z-elevated perspective (e.g. the view from a plane). Specifically, I'm looking to use multiple GeoMarker's (with custom graphics) in the pseudo-3D perspective.



    For example, consider this plot of the Eiffel Tower:



    enter image description here



    I would like to reproduce it in a 3D perspective like this:



    enter image description here



    Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.










    share|improve this question











    $endgroup$














      5












      5








      5


      2



      $begingroup$


      I would like to build a GeoGraphics map showing a z-elevated perspective (e.g. the view from a plane). Specifically, I'm looking to use multiple GeoMarker's (with custom graphics) in the pseudo-3D perspective.



      For example, consider this plot of the Eiffel Tower:



      enter image description here



      I would like to reproduce it in a 3D perspective like this:



      enter image description here



      Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.










      share|improve this question











      $endgroup$




      I would like to build a GeoGraphics map showing a z-elevated perspective (e.g. the view from a plane). Specifically, I'm looking to use multiple GeoMarker's (with custom graphics) in the pseudo-3D perspective.



      For example, consider this plot of the Eiffel Tower:



      enter image description here



      I would like to reproduce it in a 3D perspective like this:



      enter image description here



      Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.







      geography geographics






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Mar 18 at 20:43







      M.R.

















      asked Mar 17 at 19:40









      M.R.M.R.

      15.7k558188




      15.7k558188




















          1 Answer
          1






          active

          oldest

          votes


















          11












          $begingroup$

          You could use an orthographic with a custom centering:



          GeoGraphics[
          Entity["Building", "EiffelTower::5h9w8"],
          GeoProjection -> "Orthographic", "Centering" -> GeoPosition[-30.858`, 2.295`],
          GeoZoomLevel -> 18,
          GeoRange -> 48.852`, 48.872`, 2.2895`, 2.2995`
          ]




          Note that this does incorporate the curvature of the earth and will be noticeable over larger areas.



          If you're after something flat, you could always inset the tiles in 3D and pick custom View* values. Note I pad the range to allow the map to be seen at an angle:



          im = GeoImage[
          Entity["Building", "EiffelTower::5h9w8"],
          "StreetMapNoLabels",
          GeoZoomLevel -> 17,
          GeoRange -> 48.852`, 48.872`, 2.285`, 2.305`
          ];

          x, y = ImageDimensions[im];

          Graphics3D[
          Texture[im], EdgeForm[], Polygon[0, 0, 0, x, 0, 0, x, y, 0, 0, y, 0,
          VertexTextureCoordinates -> 0, 0, 1, 0, 1, 1, 0, 1],
          Background -> Black,
          Boxed -> False,
          Lighting -> "Neutral",
          ViewAngle -> 0.03233723833101999`,
          ViewCenter -> 0.5`, 0.5`, 0.5`, 1.4456583184354543`, 0.7806170277104297`,
          ViewPoint -> 1.076788325190908`, -3.1635309749673284`, 0.5316001064285271`,
          ViewVertical -> 0.00011882147473772082`, -0.00015290540260965785`, 0.9999999812506973`
          ]


          enter image description here




          Here's a way to 'lift' a GeoGraphics object into 3D. My solution is probably not robust but works for simple cases:



          GeoGraphics3D[args__] := Block[g2d, g3d, ε = .0001,
          g2d = GeoGraphics[args][[1, 1]] /. ___, Opacity[0], ___ -> ;
          g3d = g2d /.
          expr : _[VertexTextureCoordinates, _] :> expr,
          Inset[g_, x_, y_, opos_, Offset[o_]] :> Inset[g, RotationTransform[[CurlyEpsilon], 0, -1, 0]@x, y, 0, opos, .5 o],
          x_Real, y_ :> RotationTransform[[CurlyEpsilon], 0, -1, 0][x, y, 0]
          ;

          Graphics3D[
          g3d,
          Boxed -> False,
          ImageSize -> Large,
          Lighting -> "Ambient", White
          ]
          ]


          Example:



          eif = Entity["Building", "EiffelTower::5h9w8"];

          Show[
          GeoGraphics3D[
          GeoMarker[eif], Text[Style["Eiffel Tower", ColorData[112, 1], 14], eif, 0, 1],
          GeoRange -> Quantity[1000, "Meters"],
          GeoZoomLevel -> 17
          ],
          ViewAngle -> 2°,
          ViewPoint -> 1.75`, -2.85`, 0.55`
          ]


          enter image description here






          share|improve this answer











          $endgroup$












          • $begingroup$
            This isn't working with my geomarkers, is there some hack for that?
            $endgroup$
            – M.R.
            Mar 18 at 1:46










          • $begingroup$
            Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
            $endgroup$
            – Chip Hurst
            Mar 18 at 1:51










          • $begingroup$
            Yup, just like that (and a drop shadow if possible ;))
            $endgroup$
            – M.R.
            Mar 18 at 2:07










          • $begingroup$
            I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
            $endgroup$
            – M.R.
            Mar 18 at 3:37






          • 2




            $begingroup$
            @M.R. See my edit.
            $endgroup$
            – Chip Hurst
            Mar 18 at 17:35










          Your Answer





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          1 Answer
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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          11












          $begingroup$

          You could use an orthographic with a custom centering:



          GeoGraphics[
          Entity["Building", "EiffelTower::5h9w8"],
          GeoProjection -> "Orthographic", "Centering" -> GeoPosition[-30.858`, 2.295`],
          GeoZoomLevel -> 18,
          GeoRange -> 48.852`, 48.872`, 2.2895`, 2.2995`
          ]




          Note that this does incorporate the curvature of the earth and will be noticeable over larger areas.



          If you're after something flat, you could always inset the tiles in 3D and pick custom View* values. Note I pad the range to allow the map to be seen at an angle:



          im = GeoImage[
          Entity["Building", "EiffelTower::5h9w8"],
          "StreetMapNoLabels",
          GeoZoomLevel -> 17,
          GeoRange -> 48.852`, 48.872`, 2.285`, 2.305`
          ];

          x, y = ImageDimensions[im];

          Graphics3D[
          Texture[im], EdgeForm[], Polygon[0, 0, 0, x, 0, 0, x, y, 0, 0, y, 0,
          VertexTextureCoordinates -> 0, 0, 1, 0, 1, 1, 0, 1],
          Background -> Black,
          Boxed -> False,
          Lighting -> "Neutral",
          ViewAngle -> 0.03233723833101999`,
          ViewCenter -> 0.5`, 0.5`, 0.5`, 1.4456583184354543`, 0.7806170277104297`,
          ViewPoint -> 1.076788325190908`, -3.1635309749673284`, 0.5316001064285271`,
          ViewVertical -> 0.00011882147473772082`, -0.00015290540260965785`, 0.9999999812506973`
          ]


          enter image description here




          Here's a way to 'lift' a GeoGraphics object into 3D. My solution is probably not robust but works for simple cases:



          GeoGraphics3D[args__] := Block[g2d, g3d, ε = .0001,
          g2d = GeoGraphics[args][[1, 1]] /. ___, Opacity[0], ___ -> ;
          g3d = g2d /.
          expr : _[VertexTextureCoordinates, _] :> expr,
          Inset[g_, x_, y_, opos_, Offset[o_]] :> Inset[g, RotationTransform[[CurlyEpsilon], 0, -1, 0]@x, y, 0, opos, .5 o],
          x_Real, y_ :> RotationTransform[[CurlyEpsilon], 0, -1, 0][x, y, 0]
          ;

          Graphics3D[
          g3d,
          Boxed -> False,
          ImageSize -> Large,
          Lighting -> "Ambient", White
          ]
          ]


          Example:



          eif = Entity["Building", "EiffelTower::5h9w8"];

          Show[
          GeoGraphics3D[
          GeoMarker[eif], Text[Style["Eiffel Tower", ColorData[112, 1], 14], eif, 0, 1],
          GeoRange -> Quantity[1000, "Meters"],
          GeoZoomLevel -> 17
          ],
          ViewAngle -> 2°,
          ViewPoint -> 1.75`, -2.85`, 0.55`
          ]


          enter image description here






          share|improve this answer











          $endgroup$












          • $begingroup$
            This isn't working with my geomarkers, is there some hack for that?
            $endgroup$
            – M.R.
            Mar 18 at 1:46










          • $begingroup$
            Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
            $endgroup$
            – Chip Hurst
            Mar 18 at 1:51










          • $begingroup$
            Yup, just like that (and a drop shadow if possible ;))
            $endgroup$
            – M.R.
            Mar 18 at 2:07










          • $begingroup$
            I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
            $endgroup$
            – M.R.
            Mar 18 at 3:37






          • 2




            $begingroup$
            @M.R. See my edit.
            $endgroup$
            – Chip Hurst
            Mar 18 at 17:35















          11












          $begingroup$

          You could use an orthographic with a custom centering:



          GeoGraphics[
          Entity["Building", "EiffelTower::5h9w8"],
          GeoProjection -> "Orthographic", "Centering" -> GeoPosition[-30.858`, 2.295`],
          GeoZoomLevel -> 18,
          GeoRange -> 48.852`, 48.872`, 2.2895`, 2.2995`
          ]




          Note that this does incorporate the curvature of the earth and will be noticeable over larger areas.



          If you're after something flat, you could always inset the tiles in 3D and pick custom View* values. Note I pad the range to allow the map to be seen at an angle:



          im = GeoImage[
          Entity["Building", "EiffelTower::5h9w8"],
          "StreetMapNoLabels",
          GeoZoomLevel -> 17,
          GeoRange -> 48.852`, 48.872`, 2.285`, 2.305`
          ];

          x, y = ImageDimensions[im];

          Graphics3D[
          Texture[im], EdgeForm[], Polygon[0, 0, 0, x, 0, 0, x, y, 0, 0, y, 0,
          VertexTextureCoordinates -> 0, 0, 1, 0, 1, 1, 0, 1],
          Background -> Black,
          Boxed -> False,
          Lighting -> "Neutral",
          ViewAngle -> 0.03233723833101999`,
          ViewCenter -> 0.5`, 0.5`, 0.5`, 1.4456583184354543`, 0.7806170277104297`,
          ViewPoint -> 1.076788325190908`, -3.1635309749673284`, 0.5316001064285271`,
          ViewVertical -> 0.00011882147473772082`, -0.00015290540260965785`, 0.9999999812506973`
          ]


          enter image description here




          Here's a way to 'lift' a GeoGraphics object into 3D. My solution is probably not robust but works for simple cases:



          GeoGraphics3D[args__] := Block[g2d, g3d, ε = .0001,
          g2d = GeoGraphics[args][[1, 1]] /. ___, Opacity[0], ___ -> ;
          g3d = g2d /.
          expr : _[VertexTextureCoordinates, _] :> expr,
          Inset[g_, x_, y_, opos_, Offset[o_]] :> Inset[g, RotationTransform[[CurlyEpsilon], 0, -1, 0]@x, y, 0, opos, .5 o],
          x_Real, y_ :> RotationTransform[[CurlyEpsilon], 0, -1, 0][x, y, 0]
          ;

          Graphics3D[
          g3d,
          Boxed -> False,
          ImageSize -> Large,
          Lighting -> "Ambient", White
          ]
          ]


          Example:



          eif = Entity["Building", "EiffelTower::5h9w8"];

          Show[
          GeoGraphics3D[
          GeoMarker[eif], Text[Style["Eiffel Tower", ColorData[112, 1], 14], eif, 0, 1],
          GeoRange -> Quantity[1000, "Meters"],
          GeoZoomLevel -> 17
          ],
          ViewAngle -> 2°,
          ViewPoint -> 1.75`, -2.85`, 0.55`
          ]


          enter image description here






          share|improve this answer











          $endgroup$












          • $begingroup$
            This isn't working with my geomarkers, is there some hack for that?
            $endgroup$
            – M.R.
            Mar 18 at 1:46










          • $begingroup$
            Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
            $endgroup$
            – Chip Hurst
            Mar 18 at 1:51










          • $begingroup$
            Yup, just like that (and a drop shadow if possible ;))
            $endgroup$
            – M.R.
            Mar 18 at 2:07










          • $begingroup$
            I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
            $endgroup$
            – M.R.
            Mar 18 at 3:37






          • 2




            $begingroup$
            @M.R. See my edit.
            $endgroup$
            – Chip Hurst
            Mar 18 at 17:35













          11












          11








          11





          $begingroup$

          You could use an orthographic with a custom centering:



          GeoGraphics[
          Entity["Building", "EiffelTower::5h9w8"],
          GeoProjection -> "Orthographic", "Centering" -> GeoPosition[-30.858`, 2.295`],
          GeoZoomLevel -> 18,
          GeoRange -> 48.852`, 48.872`, 2.2895`, 2.2995`
          ]




          Note that this does incorporate the curvature of the earth and will be noticeable over larger areas.



          If you're after something flat, you could always inset the tiles in 3D and pick custom View* values. Note I pad the range to allow the map to be seen at an angle:



          im = GeoImage[
          Entity["Building", "EiffelTower::5h9w8"],
          "StreetMapNoLabels",
          GeoZoomLevel -> 17,
          GeoRange -> 48.852`, 48.872`, 2.285`, 2.305`
          ];

          x, y = ImageDimensions[im];

          Graphics3D[
          Texture[im], EdgeForm[], Polygon[0, 0, 0, x, 0, 0, x, y, 0, 0, y, 0,
          VertexTextureCoordinates -> 0, 0, 1, 0, 1, 1, 0, 1],
          Background -> Black,
          Boxed -> False,
          Lighting -> "Neutral",
          ViewAngle -> 0.03233723833101999`,
          ViewCenter -> 0.5`, 0.5`, 0.5`, 1.4456583184354543`, 0.7806170277104297`,
          ViewPoint -> 1.076788325190908`, -3.1635309749673284`, 0.5316001064285271`,
          ViewVertical -> 0.00011882147473772082`, -0.00015290540260965785`, 0.9999999812506973`
          ]


          enter image description here




          Here's a way to 'lift' a GeoGraphics object into 3D. My solution is probably not robust but works for simple cases:



          GeoGraphics3D[args__] := Block[g2d, g3d, ε = .0001,
          g2d = GeoGraphics[args][[1, 1]] /. ___, Opacity[0], ___ -> ;
          g3d = g2d /.
          expr : _[VertexTextureCoordinates, _] :> expr,
          Inset[g_, x_, y_, opos_, Offset[o_]] :> Inset[g, RotationTransform[[CurlyEpsilon], 0, -1, 0]@x, y, 0, opos, .5 o],
          x_Real, y_ :> RotationTransform[[CurlyEpsilon], 0, -1, 0][x, y, 0]
          ;

          Graphics3D[
          g3d,
          Boxed -> False,
          ImageSize -> Large,
          Lighting -> "Ambient", White
          ]
          ]


          Example:



          eif = Entity["Building", "EiffelTower::5h9w8"];

          Show[
          GeoGraphics3D[
          GeoMarker[eif], Text[Style["Eiffel Tower", ColorData[112, 1], 14], eif, 0, 1],
          GeoRange -> Quantity[1000, "Meters"],
          GeoZoomLevel -> 17
          ],
          ViewAngle -> 2°,
          ViewPoint -> 1.75`, -2.85`, 0.55`
          ]


          enter image description here






          share|improve this answer











          $endgroup$



          You could use an orthographic with a custom centering:



          GeoGraphics[
          Entity["Building", "EiffelTower::5h9w8"],
          GeoProjection -> "Orthographic", "Centering" -> GeoPosition[-30.858`, 2.295`],
          GeoZoomLevel -> 18,
          GeoRange -> 48.852`, 48.872`, 2.2895`, 2.2995`
          ]




          Note that this does incorporate the curvature of the earth and will be noticeable over larger areas.



          If you're after something flat, you could always inset the tiles in 3D and pick custom View* values. Note I pad the range to allow the map to be seen at an angle:



          im = GeoImage[
          Entity["Building", "EiffelTower::5h9w8"],
          "StreetMapNoLabels",
          GeoZoomLevel -> 17,
          GeoRange -> 48.852`, 48.872`, 2.285`, 2.305`
          ];

          x, y = ImageDimensions[im];

          Graphics3D[
          Texture[im], EdgeForm[], Polygon[0, 0, 0, x, 0, 0, x, y, 0, 0, y, 0,
          VertexTextureCoordinates -> 0, 0, 1, 0, 1, 1, 0, 1],
          Background -> Black,
          Boxed -> False,
          Lighting -> "Neutral",
          ViewAngle -> 0.03233723833101999`,
          ViewCenter -> 0.5`, 0.5`, 0.5`, 1.4456583184354543`, 0.7806170277104297`,
          ViewPoint -> 1.076788325190908`, -3.1635309749673284`, 0.5316001064285271`,
          ViewVertical -> 0.00011882147473772082`, -0.00015290540260965785`, 0.9999999812506973`
          ]


          enter image description here




          Here's a way to 'lift' a GeoGraphics object into 3D. My solution is probably not robust but works for simple cases:



          GeoGraphics3D[args__] := Block[g2d, g3d, ε = .0001,
          g2d = GeoGraphics[args][[1, 1]] /. ___, Opacity[0], ___ -> ;
          g3d = g2d /.
          expr : _[VertexTextureCoordinates, _] :> expr,
          Inset[g_, x_, y_, opos_, Offset[o_]] :> Inset[g, RotationTransform[[CurlyEpsilon], 0, -1, 0]@x, y, 0, opos, .5 o],
          x_Real, y_ :> RotationTransform[[CurlyEpsilon], 0, -1, 0][x, y, 0]
          ;

          Graphics3D[
          g3d,
          Boxed -> False,
          ImageSize -> Large,
          Lighting -> "Ambient", White
          ]
          ]


          Example:



          eif = Entity["Building", "EiffelTower::5h9w8"];

          Show[
          GeoGraphics3D[
          GeoMarker[eif], Text[Style["Eiffel Tower", ColorData[112, 1], 14], eif, 0, 1],
          GeoRange -> Quantity[1000, "Meters"],
          GeoZoomLevel -> 17
          ],
          ViewAngle -> 2°,
          ViewPoint -> 1.75`, -2.85`, 0.55`
          ]


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Mar 18 at 17:48

























          answered Mar 17 at 23:04









          Chip HurstChip Hurst

          22.6k15892




          22.6k15892











          • $begingroup$
            This isn't working with my geomarkers, is there some hack for that?
            $endgroup$
            – M.R.
            Mar 18 at 1:46










          • $begingroup$
            Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
            $endgroup$
            – Chip Hurst
            Mar 18 at 1:51










          • $begingroup$
            Yup, just like that (and a drop shadow if possible ;))
            $endgroup$
            – M.R.
            Mar 18 at 2:07










          • $begingroup$
            I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
            $endgroup$
            – M.R.
            Mar 18 at 3:37






          • 2




            $begingroup$
            @M.R. See my edit.
            $endgroup$
            – Chip Hurst
            Mar 18 at 17:35
















          • $begingroup$
            This isn't working with my geomarkers, is there some hack for that?
            $endgroup$
            – M.R.
            Mar 18 at 1:46










          • $begingroup$
            Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
            $endgroup$
            – Chip Hurst
            Mar 18 at 1:51










          • $begingroup$
            Yup, just like that (and a drop shadow if possible ;))
            $endgroup$
            – M.R.
            Mar 18 at 2:07










          • $begingroup$
            I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
            $endgroup$
            – M.R.
            Mar 18 at 3:37






          • 2




            $begingroup$
            @M.R. See my edit.
            $endgroup$
            – Chip Hurst
            Mar 18 at 17:35















          $begingroup$
          This isn't working with my geomarkers, is there some hack for that?
          $endgroup$
          – M.R.
          Mar 18 at 1:46




          $begingroup$
          This isn't working with my geomarkers, is there some hack for that?
          $endgroup$
          – M.R.
          Mar 18 at 1:46












          $begingroup$
          Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
          $endgroup$
          – Chip Hurst
          Mar 18 at 1:51




          $begingroup$
          Ah I overlooked that part of your question, sorry. I’m assuming you want them orthogonal to the map facing the view point?
          $endgroup$
          – Chip Hurst
          Mar 18 at 1:51












          $begingroup$
          Yup, just like that (and a drop shadow if possible ;))
          $endgroup$
          – M.R.
          Mar 18 at 2:07




          $begingroup$
          Yup, just like that (and a drop shadow if possible ;))
          $endgroup$
          – M.R.
          Mar 18 at 2:07












          $begingroup$
          I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
          $endgroup$
          – M.R.
          Mar 18 at 3:37




          $begingroup$
          I was hasty in accepting, without GeoMarkers I can't do what I wanted - if you can add that I'll accept it
          $endgroup$
          – M.R.
          Mar 18 at 3:37




          2




          2




          $begingroup$
          @M.R. See my edit.
          $endgroup$
          – Chip Hurst
          Mar 18 at 17:35




          $begingroup$
          @M.R. See my edit.
          $endgroup$
          – Chip Hurst
          Mar 18 at 17:35

















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