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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
$begingroup$
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:
I would like to reproduce it in a 3D perspective like this:
Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.
geography geographics
asked 2 days ago
M.R.M.R.
15.7k558188
$endgroup$
add a comment |
$begingroup$
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:
I would like to reproduce it in a 3D perspective like this:
Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.
geography geographics
asked 2 days ago
M.R.M.R.
15.7k558188
$endgroup$
add a comment |
$begingroup$
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:
I would like to reproduce it in a 3D perspective like this:
Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.
geography geographics
asked 2 days ago
M.R.M.R.
15.7k558188
$endgroup$
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:
I would like to reproduce it in a 3D perspective like this:
Both examples come from google maps, I’m not sure if this is possible in 11.3, but would love to know.
geography geographics
geography geographics
asked 2 days ago
M.R.M.R.
15.7k558188
asked 2 days ago
M.R.M.R.
15.7k558188
edited yesterday
M.R.
asked 2 days ago
M.R.M.R.
15.7k558188
asked 2 days ago
M.R.M.R.
15.7k558188
asked 2 days ago
M.R.M.R.
15.7k558188
15.7k558188
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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`
]
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`
]
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
$endgroup$
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
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
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
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.
2 days ago
2
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
|
show 3 more comments
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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`
]
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`
]
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
$endgroup$
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
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
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
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.
2 days ago
2
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
|
show 3 more comments
$begingroup$
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`
]
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`
]
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
$endgroup$
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
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
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
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.
2 days ago
2
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
|
show 3 more comments
$begingroup$
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`
]
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`
]
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
$endgroup$
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`
]
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`
]
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
edited yesterday
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
answered 2 days ago
Chip HurstChip Hurst
22.5k15892
22.5k15892
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
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
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
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.
2 days ago
2
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
|
show 3 more comments
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
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
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
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.
2 days ago
2
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
This isn't working with my geomarkers, is there some hack for that?
$endgroup$
– M.R.
2 days ago
$begingroup$
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
2 days ago
$begingroup$
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
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
Yup, just like that (and a drop shadow if possible ;))
$endgroup$
– M.R.
2 days ago
$begingroup$
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.
2 days ago
$begingroup$
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.
2 days ago
2
2
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
$begingroup$
@M.R. See my edit.
$endgroup$
– Chip Hurst
yesterday
|
show 3 more comments
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