complexType AffineTransform

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
children	tns:HorizontalScale tns:VerticalShear tns:HorizontalShear tns:VerticalScale tns:HorizontalTranslation tns:VerticalTranslation
used by	element  AffineTransform
annotation	documentation An affine transformation of the two dimensional plane. Points that are collinear before the transformation are still collinear afterwards. Ratios of distances between collinear points are preserved by the transformation. The transformation has six parameters: a - horizontal scale b - horizontal shear c - horizontal translation d - vertical shear e - vertical scale f - vertical translation A point (x, y) is transformed to the point (ax + by + c, dx + ey + f).The transformation can be expressed as matrix multiplication: --     --  --   --     --           -- | a b c |  |  x  |     | ax + by + c | | d e f |  |  y  |  =  | dx + ey + f | --     --  |  1  |     --           --    --   -- or: --     --  --   --     --           -- | x y 1 |  | a d |     | ax + by + c | --     --  | b e |  =  | dx + ey + f |            | c f |     --           --            --   --

element AffineTransform/HorizontalScale

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
type	xsd:double
properties	content  simple
annotation	documentation Value a in the affine transform equation. The Scale simply expands or shrinks all distances by a constant amount in a horizontal direction. The Scale is the only transformation that will change the area.

element AffineTransform/VerticalShear

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
type	xsd:double
properties	content  simple
annotation	documentation Value d in the affine transform equation. The Shear is the transformation in which all points along a given line remain fixed, while other points are shifted parallel to the line in a vertical direction by a distance proportional to their perpendicular distance.

element AffineTransform/HorizontalShear

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
type	xsd:double
properties	content  simple
annotation	documentation Value b in the affine transform equation. The Shear is the transformation in which all points along a given line remain fixed, while other points are shifted parallel to the line in a horizontal direction by a distance proportional to their perpendicular distance.

element AffineTransform/VerticalScale

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
type	xsd:double
properties	content  simple
annotation	documentation Value e in the affine transform equation. The Scale simply expands or shrinks all distances by a constant amount in a vertical direction. The Scale is the only transformation that will change the area.

element AffineTransform/HorizontalTranslation

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
type	xsd:double
properties	content  simple
annotation	documentation Value c in the affine transform equation. The Translation consists of a constant offset with no rotation or distortion in the horizontal direction.

element AffineTransform/VerticalTranslation

diagram
namespace	http://www.mapinfo.com/midev/service/common/v1
type	xsd:double
properties	content  simple
annotation	documentation Value f in the affine transform equation. The Translation consists of a constant offset with no rotation or distortion in the vertical direction.

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