(mysql.info.gz) GIS class geometry
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(mysql.info.gz) GIS geometry class hierarchy
(mysql.info.gz) OpenGIS geometry model
(mysql.info.gz) GIS class point
18.2.2 Class `Geometry'
-----------------------
`Geometry' is the root class of the hierarchy. It is a
non-instantiable class but has a number of properties that are common to
all geometry values created from any of the `Geometry' subclasses.
These properties are described in the following list. (Particular
subclasses have their own specific properties, described later.)
Geometry Properties
...................
A geometry value has the following properties:
* Its *type*. Each geometry belongs to one of the instantiable
classes in the hierarchy.
* Its *SRID*, or Spatial Reference Identifier. This value identifies
the geometry's associated Spatial Reference System that describes
the coordinate space in which the geometry object is defined.
In MySQL, the SRID value is just an integer associated with the
geometry value. All calculations are done assuming Euclidean
(planar) geometry.
* Its *coordinates* in its Spatial Reference System, represented as
double-precision (eight-byte) numbers. All non-empty geometries
include at least one pair of (X,Y) coordinates. Empty geometries
contain no coordinates.
Coordinates are related to the SRID. For example, in different
coordinate systems, the distance between two objects may differ
even when objects have the same coordinates, because the distance
on the *planar* coordinate system and the distance on the
*geocentric* system (coordinates on the Earth's surface) are
different things.
* Its *interior*, *boundary*, and *exterior*. Every geometry
occupies some position in space. The exterior of a geometry is all
space not occupied by the geometry. The interior is the space
occupied by the geometry. The boundary is the interface between
the geometry's interior and exterior.
* Its *MBR* (Minimum Bounding Rectangle), or Envelope. This is the
bounding geometry, formed by the minimum and maximum (X,Y)
coordinates:
((MINX MINY, MAXX MINY, MAXX MAXY, MINX MAXY, MINX MINY))
* Whether the value is *simple* or *non-simple*. Geometry values of
types (`LineString', `MultiPoint', `MultiLineString') are either
simple or non-simple. Each type determines its own assertions for
being simple or non-simple.
* Whether the value is *closed* or *not closed*. Geometry values of
types (`LineString', `MultiString') are either closed or not
closed. Each type determines its own assertions for being closed
or not closed.
* Whether the value is *empty* or *non-empty* A geometry is empty if
it does not have any points. Exterior, interior, and boundary of
an empty geometry are not defined (that is, they are represented
by a `NULL' value). An empty geometry is defined to be always
simple and has an area of 0.
* Its *dimension*. A geometry can have a dimension of -1, 0, 1, or 2:
* -1 for an empty geometry.
* 0 for a geometry with no length and no area.
* 1 for a geometry with non-zero length and zero area.
* 2 for a geometry with non-zero area.
`Point' objects have a dimension of zero. `LineString' objects
have a dimension of 1. `Polygon' objects have a dimension of 2.
The dimensions of `MultiPoint', `MultiLineString', and
`MultiPolygon' objects are the same as the dimensions of the
elements they consist of.
Info Catalog
(mysql.info.gz) GIS geometry class hierarchy
(mysql.info.gz) OpenGIS geometry model
(mysql.info.gz) GIS class point
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