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data comes from a spatial type implementation. [^1]: Technically this also applies if you are on the surface of another planet or -celestial body. We'll discuss this later. +celestial body, and also applies if you are above or below the surface. We'll +discuss this later. ## If you don't read anything else +The simplest possible spatial type implementation that can interoperate with most existing +Spatial Type implementations without loosing information is a +"Geometry" [and/or "Geography"](#geometry-and-geography) type, parameterized with `crs` +([Coordinate Reference System](#coordinate-reference-systems)) as a string, with values +encoded as [Well-known binary](#well-known-binary) (if your format has a native way +to store an array of bytes) or [Well-known text](#well-known-text) (otherwise). + +In general, the motivation behind the suggestions in this document are to ensure that +new Spatial Type implementations: + - **Capture producer intent**: Users of your Spatial Type should not have to discard information when converting spatial data from elsewhere. The main thing this means if your Spatial Type intends to interoperate with any other Spatial Type, you need @@ -37,12 +48,18 @@ celestial body. We'll discuss this later. increases the probability that other tools will be able to easily interact with your convention. For example, [GeoParquet](https://geoparquet.org) stores the coordinate reference system as [PROJJSON](#projjson). - and stores geometries as [well-known binary](#well-known-binary). + and stores geometries as [well-known binary](#well-known-binary). It can be tempting + to improve on existing spatial standards because many of them have limitations; however, + such an improvement whose definition lives in a non-spatial format is more likely to + cause confusion and/or misinterpretation than deferring to an existing standard. - **Leverage the capabilities of the format**: Every format has a unique set of features and limitations and there is sometimes a tension between deferring to existing standards and ensuring that users of the format can leverage existing tools that work with the format. For example, [GeoJSON](https://geojson.org) encodes geometries as JavaScript - objects instead of a previously existing + objects instead of a text or binary-based format. + +For more details and ways to ensure that the type definition is precise and unambiguous, +keep reading! ## Prior art @@ -109,8 +126,8 @@ to interpret some sequence of integers. Most modern type systems allow types to have parameters (e.g., Arrow/Parquet/DuckDB decimals can be parameterized with a precision and scale at the type level instead of storing those values alongside each element); however, many older type systems -(e.g., PostgreSQL, SQLite) only have the opportunity to store a type name or identifier. -This requires that all information required to interpret a type lives with each element +(e.g., PostgreSQL) only have the opportunity to store a type name or identifier. +This requires that all information required to interpret a value lives with each element (which, depending on the type, can involve a lot of repetition). If the format allows, spatial data types should be parameterized with a Coordinate @@ -132,8 +149,11 @@ for PostgreSQL, PostGIS, uses two mechanisms to make the CRS of a column known: - It stores a CRS identifier (an integer) with every element that refers to a `spatial_ref_sys` table that contains an extended string definition of that CRS. - It keeps a record of all - [geometry columns as a VIEW](https://postgis.net/docs/using_postgis_dbmanagement.html#geometry_columns) and includes CRS identifier (an integer) that refers to the - `spatial_ref_sys` table. + [geometry columns as a VIEW](https://postgis.net/docs/using_postgis_dbmanagement.html#geometry_columns) + and includes CRS identifier (an integer) that refers to the `spatial_ref_sys` table. + +(These mechanisms are also formalized in the +[OGC Simple Feature Access – Part 2: SQL Option](https://www.ogc.org/publications/standard/sfs/)) For clients reading a table directly, it is possible to look up the type-level CRS by querying the `geometry_columns` and `spatial_ref_sys` tables; however, for clients @@ -149,17 +169,89 @@ integer identifier. ## Coordinate Reference Systems - +A Coordinate Reference System (CRS) is a "unit" for the x, y, z, and/or m[^4] +values https://macwright.com/lonlat/ +[^4]: More about M values later. + +## Geometry and Geography + +Before getting into the differences between Geometry and Geography, the +important takeaway is that elements of a Geography type cannot be +blindly labeled as Geometry without the potential for severely misinterpreting +those elements[^5]. Your Spatial Type implementation does not have to support +Geographies (many do not), but you should be careful not to silently +interoperate with another Spatial Type implementation that does support them. + +[^5]: It is also not a good idea to blindly label a Geometry as a Geography; +however, this comes up much less frequently since Spatial Type implementations +that include Geography as an option are well aware of the problems +associated with this. + +Some Spatial Type implementations have two data types: Geometry and Geography. +Both Geometry and Geography type implementations interpret coordinate values +(i.e., any combination of x, y, z, and/or m values) identically; however the +two types differ with respect to how adjascent coordinates should be connected +(i.e., edges). Among other things, this affects how area, length, and distance +between elements are defined. A precise definition of the edge interpretation +of all Geometry types of which we are aware can found in the widely adopted +["OpenGIS Implementation Specification for Geographic information - Simple feature access - Part 1: Common architecture"](https://www.opengeospatial.org/standards/sfa): + +> **simple feature** feature with all geometric attributes described piecewise +> by straight line or planar interpolation between sets of points (Section 4.19). + +In contrast, Geography data types are newer and have slightly more variation +among implementations. Broadly, all of them define adjascent coordinates in +a line or polygon to be connected as a **geodesic**, or the shortest path +between them over the "surface of the Earth"[^6]. Some selected definitions +include: + +> Conversely, the operations on the `GEOGRAPHY` data type treat the coordinates +> inside objects as spherical coordinates on a spheroid. +> ([Amazon Redshift](https://docs.aws.amazon.com/redshift/latest/dg/geospatial-overview.html)) + +> The `GEOGRAPHY` data type, which models Earth as though it were a perfect sphere... +> Line segments are interpreted as geodesic arcs on the Earth’s surface. +> ([Snowflake](https://docs.snowflake.com/en/sql-reference/data-types-geospatial)) + +> An edge is a spherical geodesic between two endpoints. (That is, edges are +> the shortest path on the surface of a sphere.) +> ([BigQuery](https://cloud.google.com/bigquery/docs/geospatial-data#coordinate_systems_and_edges)) +> `geography` is a spatial data type used to represent a feature in geodetic +> coordinate systems. Geodetic coordinate systems model the earth using an ellipsoid. +> ([PostGIS](https://postgis.net/docs/geography.html)) + +> This type represents data in a round-earth coordinate system. The SQL Server +> `geography` data type stores ellipsoidal (round-earth) data, such as GPS +> latitude and longitude coordinates. +> ([Microsoft SQL Server](https://learn.microsoft.com/en-us/sql/t-sql/spatial-geography/spatial-types-geography)) + +The main inconsistency between definitions is whether or not the existing implementations +use spherical formulas to simplify/accellerate calculations or whether strict ellipsoidal calculations are used. The definitions provided by vendors are not even explicit on this +point in some cases, and we do not reccomend attempting to separate these cases until +the language defining these cases is made explicit in some upstream standard. + +Note that some Spatial Type implementations that include geography only support exactly +one coordinate reference system (BigQuery and Snowflake only allow longitude/latitude on +the WGS84 ellipsoid). + +An excellent read on why databases implement Geography types (including a discussion +of the tradeoffs associated with using one or the other) can be found +[in the PostGIS documentation](http://postgis.net/workshops/postgis-intro/geography.html). + +[^6]: Or Celestial body. Just saying. ### PROJJSON -## Geometries +## Storing Geometries + + + + -## WKB