<complexType name="AffinePlacementType">
<annotation>
<documentation>A placement takes a standard geometric
construction and places it in geographic space. It defines a
transformation from a constructive parameter space to the
co-ordinate space of the co-ordinate reference system being used.
Parameter spaces in formulae in this International Standard are
given as (u, v) in 2D and(u, v, w) in 3D. Co-ordinate reference
systems positions are given in formulae, in this International
Standard, by either (x, y) in 2D, or (x, y, z) in 3D.
Affine placements are defined by linear transformations from
parameter space to the target co-ordiante space. 2-dimensional
Cartesian parameter space,(u,v) transforms into 3-dimensional co-
ordinate reference systems,(x,y,z) by using an affine
transformation,(u,v)->(x,y,z) which is defined :
x ux vx x0
u
y = uy vy + y0
v
x uz vz z0
Then, given this equation, the location element of the
AffinePlacement is the direct position (x0, y0, z0), which is the
target position of the origin in (u, v). The two reference
directions (ux, uy, uz) and (vx, vy, vz) are the target
directions of the unit vectors at the origin in (u, v).</documentation>
</annotation>
<sequence>
<element name="location" type="gml:DirectPositionType">
<annotation>
<documentation>The location property gives
the target of the parameter space origin. This is the vector
(x0, y0, z0) in the formulae above.</documentation>
</annotation>
</element>
<element name="refDirection" type="gml:VectorType" maxOccurs="unbounded">
<annotation>
<documentation>The attribute refDirection gives the
target directions for the co-ordinate basis vectors of the
parameter space. These are the columns of the matrix in the
formulae given above. The number of directions given shall be
inDimension. The dimension of the directions shall be
outDimension.</documentation>
</annotation>
</element>
<element name="inDimension" type="positiveInteger">
<annotation>
<documentation>Dimension of the constructive parameter
space.</documentation>
</annotation>
</element>
<element name="outDimension" type="positiveInteger">
<annotation>
<documentation>Dimension of the co-ordinate space.</documentation>
</annotation>
</element>
</sequence>
</complexType>
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