Grid#
The grid module defines the top level of pytileproj’s tiling system concept. A grid is a collection of tiling systems, which share a tiling concepts, but differ in their projection (however, the projection should be from the same family). An example is the Equi7Grid projection, which is a collection of seven continental equidistant azimuthal projections.
Regular grid#
Within the grid module, the class RegularGrid contains a collection of RegularProjTilingSystem as on-the-fly generated class variables. Next to a RegularProjTilingSystem, the RegularGrid class was designed as the main entry point to handle projected tiling systems and to create them in a flexible and user-friendly way.
Initialisation#
To create a RegularGrid object, one way is to define all the objects directly in Python. In principle, we can start with creating a simple RegularGrid object by using the same regular projected tiling system as defined in the tiling system documentation:
from pathlib import Path
from pytileproj import (
ProjSystemDefinition,
RegularProjTilingSystem,
RegularTilingDefinition,
)
name = "e7eu"
epsg = 27704
min_xy = (0, 0)
max_xy = None # None will be filled with the projection bounds
axis_orientation = ("E", "S")
# this argument is only optional, but in case the EPSG API is down,
# it needs to be provided
proj_zone_geog = Path("../../tests/data/eu_zone.parquet")
proj_def = ProjSystemDefinition(
name=name,
crs=epsg,
min_xy=min_xy,
max_xy=max_xy,
axis_orientation=axis_orientation,
proj_zone_geog=proj_zone_geog,
)
tiling_defs = {
1: RegularTilingDefinition(name="my_coarse_tiling", tile_shape=300_000),
2: RegularTilingDefinition(name="my_fine_tiling", tile_shape=100_000),
}
rpts = RegularProjTilingSystem.from_sampling(
{1: 1_000, 2: 10}, proj_def=proj_def, tiling_defs=tiling_defs
)
With this, we are now able to initialise a RegularGrid object:
from pytileproj import RegularGrid
rgrid = RegularGrid(**{name: rpts})
rgrid
RegularGrid
-----------
RegularProjTilingSystem(e7eu)
However, if we work with a grid system with several tiling systems beneath, then defining everything within Python may become tedious. Therefore, there are several classmethods, which allow to generate a RegularGrid object.
from_sampling is exactly the same method as for a RegularProjTilingSystem, but now working with multiple RegularTilingDefinition instances. Here is an example:
RegularGrid.from_sampling(
{1: 1_000, 2: 10}, proj_defs={name: proj_def}, tiling_defs=tiling_defs
)
RegularGrid
-----------
RegularProjTilingSystem(e7eu)
Export and import grid definitions#
Another possibility is to start from a more generic regular grid definition. As an example, the core tiling system definitions of a RegularGrid object can be exported to a JSON file via
from pathlib import Path
grid_def_path = Path("my_grid_def.json")
rgrid.to_grid_def(grid_def_path)
If we open it, it looks like this:
import json
import pprint
with grid_def_path.open() as f:
grid_def = json.load(f)
pprint.pprint(grid_def) # noqa: T203
{'proj_defs': {'e7eu': {'axis_orientation': ['E', 'S'],
'crs': 27704,
'max_xy': [8400000.0, 5700000.0],
'min_xy': [0.0, 0.0],
'name': 'e7eu',
'proj_zone_geog': {'crs': 'GEOGCRS["WGS '
'84",ENSEMBLE["World '
'Geodetic System 1984 '
'ensemble",MEMBER["World '
'Geodetic System 1984 '
'(Transit)"],MEMBER["World '
'Geodetic System 1984 '
'(G730)"],MEMBER["World '
'Geodetic System 1984 '
'(G873)"],MEMBER["World '
'Geodetic System 1984 '
'(G1150)"],MEMBER["World '
'Geodetic System 1984 '
'(G1674)"],MEMBER["World '
'Geodetic System 1984 '
'(G1762)"],MEMBER["World '
'Geodetic System 1984 '
'(G2139)"],MEMBER["World '
'Geodetic System 1984 '
'(G2296)"],ELLIPSOID["WGS '
'84",6378137,298.257223563,LENGTHUNIT["metre",1]],ENSEMBLEACCURACY[2.0]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic '
'latitude '
'(Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic '
'longitude '
'(Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],USAGE[SCOPE["Horizontal '
'component of 3D '
'system."],AREA["World."],BBOX[-90,-180,90,180]],ID["EPSG",4326]]',
'geom': 'POLYGON '
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'tiling_defs': {'1': {'name': 'my_coarse_tiling',
'tile_shape': [300000.0, 300000.0]},
'2': {'name': 'my_fine_tiling',
'tile_shape': [100000.0, 100000.0]}}}
Now we can use this file to recreate the object by specifying the desired sampling. Like this it is convenient to share a grid definition with other people.
RegularGrid.from_grid_def(grid_def_path, {1: 1_000, 2: 10})
RegularGrid
-----------
RegularProjTilingSystem(e7eu)
If we want to be more explicit, there is also the option to export all class properties to a JSON file. This includes the sampling, thus allowing to exactly replicate the object, from which the JSON file was created.
grid_path = Path("my_grid.json")
rgrid.to_file(grid_path)
Now the JSON file looks like this:
with grid_path.open() as f:
grid = json.load(f)
pprint.pprint(grid) # noqa: T203
{'e7eu': {'crs': 27704,
'name': 'e7eu',
'proj_zone_geog': {'crs': 'GEOGCRS["WGS 84",ENSEMBLE["World Geodetic '
'System 1984 ensemble",MEMBER["World '
'Geodetic System 1984 '
'(Transit)"],MEMBER["World Geodetic System '
'1984 (G730)"],MEMBER["World Geodetic '
'System 1984 (G873)"],MEMBER["World '
'Geodetic System 1984 '
'(G1150)"],MEMBER["World Geodetic System '
'1984 (G1674)"],MEMBER["World Geodetic '
'System 1984 (G1762)"],MEMBER["World '
'Geodetic System 1984 '
'(G2139)"],MEMBER["World Geodetic System '
'1984 (G2296)"],ELLIPSOID["WGS '
'84",6378137,298.257223563,LENGTHUNIT["metre",1]],ENSEMBLEACCURACY[2.0]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic '
'latitude '
'(Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic '
'longitude '
'(Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],USAGE[SCOPE["Horizontal '
'component of 3D '
'system."],AREA["World."],BBOX[-90,-180,90,180]],ID["EPSG",4326]]',
'geom': 'POLYGON ((50.064526460000195 '
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'tilings': {'1': {'axis_orientation': ['E', 'S'],
'extent': [0.0, 0.0, 8400000.0, 5700000.0],
'name': 'my_coarse_tiling',
'sampling': 1000.0,
'tile_shape': [300000.0, 300000.0],
'tiling_level': 1},
'2': {'axis_orientation': ['E', 'S'],
'extent': [0.0, 0.0, 8300000.0, 5600000.0],
'name': 'my_fine_tiling',
'sampling': 10.0,
'tile_shape': [100000.0, 100000.0],
'tiling_level': 2}}},
'system_order': ['e7eu']}
And the object can be recreated in the same manner:
RegularGrid.from_file(grid_path)
RegularGrid
-----------
RegularProjTilingSystem(e7eu)
Tiling system order#
An optional argument available for all initalisation methods is system_order, which defines which tiling system should be used and how their order should be. This is important if users only want to work with a subset of the available tiling systems or if projection zones overlap and there should be a preference when querying for tiles and coordinates. In this example we add two tiling systems to a regular grid and define their order:
af_def = ProjSystemDefinition(
name="e7af",
crs=27701,
min_xy=min_xy,
max_xy=max_xy,
axis_orientation=axis_orientation,
proj_zone_geog=Path("../../tests/data/af_zone.parquet"),
)
eu_def = ProjSystemDefinition(
name="e7eu",
crs=27704,
min_xy=min_xy,
max_xy=max_xy,
axis_orientation=axis_orientation,
proj_zone_geog=proj_zone_geog,
)
af_rpts = RegularProjTilingSystem.from_sampling(
{1: 1_000, 2: 10}, proj_def=af_def, tiling_defs=tiling_defs
)
eu_rpts = RegularProjTilingSystem.from_sampling(
{1: 1_000, 2: 10}, proj_def=eu_def, tiling_defs=tiling_defs
)
rgrid = RegularGrid(
system_order=["e7eu", "e7af"], **{rpts.name: rpts for rpts in [af_rpts, eu_rpts]}
)
Supported samplings#
If you are not sure, what samplings you can use for your grid design, you can fetch them directly via the allowed_samplings method with the desired tile size as an argument:
RegularGrid.allowed_samplings(300)
[1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300]
Tiling system access#
The regular projected tiling system can then be accessed with:
rgrid.e7eu # ty: ignore[unresolved-attribute]
RegularProjTilingSystem(e7eu)
or equivalently,
rgrid[name]
RegularProjTilingSystem(e7eu)
In case there are several tiling systems defining the regular grid and you want to know which tiling system(s) to use for a certain location, then you can use get_systems_from_coord or get_systems_from_lonlat. Here is an example with a coordinate inside the regular grid
rgrid.get_systems_from_lonlat(16, 48)
[RegularProjTilingSystem(e7eu)]
and outside
rgrid.get_systems_from_lonlat(-100, 48)
---------------------------------------------------------------------------
GeomOutOfZoneError Traceback (most recent call last)
Cell In[16], line 1
----> 1 rgrid.get_systems_from_lonlat(-100, 48)
File ~/work/pytileproj/pytileproj/src/pytileproj/grid.py:246, in RegularGrid.get_systems_from_lonlat(self, lon, lat)
229 """Get regular, projected tiling system from geographic coordinates.
230
231 Parameters
(...) 243
244 """
245 coord = GeogCoord(x=lon, y=lat)
--> 246 return self.get_systems_from_coord(coord)
File ~/work/pytileproj/pytileproj/src/pytileproj/grid.py:271, in RegularGrid.get_systems_from_coord(self, coord)
268 rptss.append(rpts)
270 if len(rptss) == 0:
--> 271 raise GeomOutOfZoneError(shapely.Point((coord.x, coord.y)))
273 return rptss
GeomOutOfZoneError: The given Point ('POINT (-100 48)') is not within the zone boundaries of the projection.
Geographic coordinate transformation#
A regular grid object also allows to transform geographic coordinates to grid coordinates. Usually, there is a unique result. But in case projection zones of different tiling systems overlap, coordinates are returned for each intersecting tiling system - with the order defined by system_order.
rgrid.lonlat_to_xy(16, 48)
{'e7eu': ProjCoord(5240688.087435639, 1597809.919837502)}