3D geometries are spatial objects that have an additional dimension, usually representing height or depth. PostGIS supports several types of 3D geometries, such as POINTZ, LINESTRINGZ, POLYGONZ, and their multi- and curved variants. These geometries can store the Z coordinate as a numeric value or as a measure (M) value, which can be used for linear referencing or temporal data. You can also use the geometry type GEOMETRYZM, which can store both Z and M values for any geometry type.
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In many cases, GIS data is also temporal. The 3rd or 4th dimension can be used to indicate the epoch (or seconds from Jan 1, 1970 in UTC) of when a sample was taken or an event occurred. If this is your case, you may want to consider how you will index unchanging GIS data, such as property parcels or state/county boundaries. Extruding these from an epoch of 0 to some very distant future (IE 50 years from now) allows you to ensure that intersecting events are intersecting in time as well as space. Take into consideration the nature of your data - if you are projecting trends into the future, you want the future date to be beyond the range of your projections.
You can create 3D geometries in PostGIS using several methods, such as constructor functions like ST_MakePoint, ST_MakeLine, and ST_MakePolygon, passing the Z or M values as arguments. You can also use the WKT (Well-Known Text) or WKB (Well-Known Binary) formats, specifying the Z or M dimensionality in the geometry type name. Additionally, you can utilize the ST_Force3D, ST_Force3DM, ST_Force4D, or ST_ForceZM functions to convert 2D geometries to 3D or 4D geometries by adding a default value (0) or a specified value for the missing dimension. Finally, you can assign a spatial reference system (SRS) to a geometry with the ST_SetSRID function and optionally change its dimensionality to match the SRS.
Indexing 3D geometries in PostGIS can improve the performance of spatial queries and operations, especially if you have large or complex datasets. PostGIS supports two types of spatial indexes: GiST (Generalized Search Tree) and SP-GiST (Space-Partitioned GiST). GiST indexes are based on bounding boxes, which are rectangular envelopes that contain the geometries. SP-GiST indexes are based on quad-trees, which are hierarchical structures that divide the space into four quadrants recursively. Both types of indexes can handle 3D geometries, but they have different advantages and disadvantages.
GiST indexes are more flexible and robust, as they can support any geometry type, any operator, and any SRS. However, they can also be larger and slower than SP-GiST indexes, as they may have more overlap and redundancy in the bounding boxes. SP-GiST indexes are more efficient and compact, as they can reduce the index size and the number of comparisons. However, they can also be more limited and restrictive, as they only support POINTZ and BOX3D types, only support the &&& operator (which tests if two 3D boxes overlap), and only support the SRS with the EPSG code 4979 (which is WGS 84 with height).
To create a GiST index on a 3D geometry column, you can use the CREATE INDEX statement, and specify USING GIST as the index method. For example:
CREATE INDEX idx_3d_geom_gist ON my_table USING GIST (geom);
To create a SP-GiST index on a 3D geometry column, you can use the CREATE INDEX statement, and specify USING SPGIST as the index method. For example:
CREATE INDEX idx_3d_geom_spgist ON my_table USING SPGIST (geom);
PostGIS enables you to perform various spatial queries and operations on 3D geometries, such as measuring distances, lengths, areas, and volumes with the ST_3DDistance, ST_3DLength, ST_3DArea, and ST_3DVolume functions. You can also find the closest points or lines between 3D geometries using the ST_3DClosestPoint or ST_3DShortestLine functions, interpolate points along 3D lines or curves with the ST_LineInterpolatePoint or ST_LineInterpolatePoints functions with the M values, and extract or modify the Z or M values of 3D geometries with the ST_Z, ST_M, ST_SetZ, ST_SetM, or ST_SnapToGrid functions. Additionally, you can perform spatial joins, filters, or aggregations on 3D geometries using the spatial operators and functions such as &&&, ST_3DIntersects, ST_3DUnion, and ST_3DCollect.
Working with 3D geometries in PostGIS can offer many benefits and challenges, depending on your use case and data quality. For instance, you can store and analyze more realistic and accurate representations of the real world, such as terrain, buildings, infrastructure, etc., and leverage the existing spatial functions and operators of PostGIS for 3D geometries. Additionally, you can integrate temporal data with spatial data using the M values, and perform spatio-temporal analysis and visualization. However, you may need more storage space and processing power to handle 3D geometries due to their complexity and size. Furthermore, you must ensure the consistency and validity of the Z or M values, as they may vary depending on the data source, method, or standard. Finally, you should consider the trade-offs between different types of spatial indexes, as they may affect query speed and accuracy.
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