Skip to main content

web access - Which external services are compatible with GeoServer?


Using the GeoServer option, it is possible to load map tiles from external services.


Which services are compatible with GeoServer? How can I find such services? Does GeoServer follow a standard that has a name that I can google for?


The documentation shows a few examples:


GeoGraphics[{Entity["AdministrativeDivision", {"California", "UnitedStates"}]}, 
GeoServer -> "http://a.tile.openstreetmap.org/`1`/`2`/`3`.png"
]

Mathematica graphics



Answer




The keywords to search for are "tile server" and "XYZ URL". I was able to find several services compatible with this format.


There is a list, complete with previews here:



(Found through GIS.SE)


The {x}, {y} and {z} placeholders in the URL correspond to `1`, `2` and `3` in Mathematica.


MapBox is another great source for base maps, as shown by @C.E. in his answer.




Here are a few examples that do not require API keys:


From https://basemap.nationalmap.gov/,


USGS[map :"HydroCached" | "ImageryOnly" | "ImageryTopo" |"ShadedReliefOnly" | "Topo"] :=

"https://basemap.nationalmap.gov/arcgis/rest/services/USGS" <> map <> "/MapServer/tile/`1`/`3`/`2`"

From https://carto.com/location-data-services/basemaps/,


carto[style : "light_all" | "dark_all" | "light_nolabels" | "light_only_labels" |"dark_nolabels" | "dark_only_labels"] :=
"https://cartodb-basemaps-1.global.ssl.fastly.net/" <> style <> "/`1`/`2`/`3`.png"

From http://maps.stamen.com/,


stamenBase[style_, format_] := "http://tile.stamen.com/" <> style <> "/`1`/`2`/`3`." <> format
stamen[style : "toner"] := stamenBase[style, "png"]
stamen[style : "watercolor" | "terrain"] := stamenBase[style, "jpg"]


Demo:


GeoGraphics[Entity["AdministrativeDivision", {"California", "UnitedStates"}], 
GeoServer -> #] & /@ {USGS["Topo"], carto["light_all"], stamen["terrain"]}

enter image description here


These are just quick and dirty examples. In some cases it may be beneficial or necessary to set the "Tileset" suboption of GeoServer (see under Details in doc page).




Tile servers can also be used with the interactive DynamicGeoGraphics:


DynamicGeoGraphics[Entity["City", {"Lyon", "RhoneAlpes", "France"}], 

GeoServer -> stamen["toner"]]

enter image description here


Comments

Popular posts from this blog

plotting - Filling between two spheres in SphericalPlot3D

Manipulate[ SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, Mesh -> None, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], {n, 0, 1}] I cant' seem to be able to make a filling between two spheres. I've already tried the obvious Filling -> {1 -> {2}} but Mathematica doesn't seem to like that option. Is there any easy way around this or ... Answer There is no built-in filling in SphericalPlot3D . One option is to use ParametricPlot3D to draw the surfaces between the two shells: Manipulate[ Show[SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], ParametricPlot3D[{ r {Sin[t] Cos[1.5 Pi], Sin[t] Sin[1.5 Pi], Cos[t]}, r {Sin[t] Cos[0 Pi], Sin[t] Sin[0 Pi], Cos[t]}}, {r, 1, 2 - n}, {t, 0, Pi}, PlotStyle -> Yellow, Mesh -> {2, 15}]], {n, 0, 1}]

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]

plotting - Adding a thick curve to a regionplot

Suppose we have the following simple RegionPlot: f[x_] := 1 - x^2 g[x_] := 1 - 0.5 x^2 RegionPlot[{y < f[x], f[x] < y < g[x], y > g[x]}, {x, 0, 2}, {y, 0, 2}] Now I'm trying to change the curve defined by $y=g[x]$ into a thick black curve, while leaving all other boundaries in the plot unchanged. I've tried adding the region $y=g[x]$ and playing with the plotstyle, which didn't work, and I've tried BoundaryStyle, which changed all the boundaries in the plot. Now I'm kinda out of ideas... Any help would be appreciated! Answer With f[x_] := 1 - x^2 g[x_] := 1 - 0.5 x^2 You can use Epilog to add the thick line: RegionPlot[{y < f[x], f[x] < y < g[x], y > g[x]}, {x, 0, 2}, {y, 0, 2}, PlotPoints -> 50, Epilog -> (Plot[g[x], {x, 0, 2}, PlotStyle -> {Black, Thick}][[1]]), PlotStyle -> {Directive[Yellow, Opacity[0.4]], Directive[Pink, Opacity[0.4]],