Geography in 3D perspectiveCan A Plot Be Overlayed With A Map?Applying the Four-color Theorem to the map of Florida
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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
$endgroup$
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
$endgroup$
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
$endgroup$
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
edited Mar 18 at 20:43
M.R.
asked Mar 17 at 19:40
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`
]
$endgroup$
$begingroup$
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
|
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`
]
$endgroup$
$begingroup$
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
|
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`
]
$endgroup$
$begingroup$
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
|
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`
]
$endgroup$
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`
]
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
|
show 3 more comments
$begingroup$
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
|
show 3 more comments
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