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TransformDecomposeSimilarity Method

Decomposes a similarity transformation. The transformation must be affine. A similarity transformation can be broken into a sequence of a dilation, translation, rotation, and a reflection.

Namespace:  Rhino.Geometry
Assembly:  RhinoCommon (in RhinoCommon.dll)
Since: 6.12
Syntax
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public TransformSimilarityType DecomposeSimilarity(
	out Vector3d translation,
	out double dilation,
	out Transform rotation,
	double tolerance
)

Parameters

translation
Type: Rhino.GeometryVector3d
Translation vector.
dilation
Type: SystemDouble
Dilation, where dilation lt; 0 if this is an orientation reversing similarity.
rotation
Type: Rhino.GeometryTransform
A proper rotation transformation, where R*Transpose(R)=I and Determinant(R)=1.
tolerance
Type: SystemDouble
The evaluation tolerance.

Return Value

Type: TransformSimilarityType
The similarity type.
Remarks
If X.DecomposeSimilarity(T, d, R, tol) !=0 then X ~ Translation(T)*Diagonal(d)*R note when d gt;0 the transformation is orientation preserving. If dilation lt; 0 then Diagonal(dilation) is actually a reflection combined with a true dilation, or Diagonal(dilation) = Diagonal(-1) * Diagonal(|diagonal|).
See Also