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TransformChangeBasis Method (Point3d, Vector3d, Vector3d, Vector3d, Point3d, Vector3d, Vector3d, Vector3d)

Gets a change of basis transformation. The change of basis transformation is not the same as the rotation transformation that rotates one orthonormal frame to another.

Namespace:  Rhino.Geometry
Assembly:  RhinoCommon (in RhinoCommon.dll)
Since: 8.17
Syntax
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public static Transform ChangeBasis(
	Point3d P0,
	Vector3d X0,
	Vector3d Y0,
	Vector3d Z0,
	Point3d P1,
	Vector3d X1,
	Vector3d Y1,
	Vector3d Z1
)

Parameters

P0
Type: Rhino.GeometryPoint3d
Initial center.
X0
Type: Rhino.GeometryVector3d
Initial basis X (can be any 3d basis).
Y0
Type: Rhino.GeometryVector3d
Initial basis Y (can be any 3d basis).
Z0
Type: Rhino.GeometryVector3d
Initial basis Z (can be any 3d basis).
P1
Type: Rhino.GeometryPoint3d
Final center.
X1
Type: Rhino.GeometryVector3d
Final basis X (can be any 3d basis).
Y1
Type: Rhino.GeometryVector3d
Final basis Y (can be any 3d basis).
Z1
Type: Rhino.GeometryVector3d
Final basis Z (can be any 3d basis).

Return Value

Type: Transform
A change of basis transformation if success, on failure.
Remarks
Change of basis transformations and rotation transformations are often confused. This is a change of basis transformation. If Q = P0 + a0*X0 + b0*Y0 + c0*Z0 = P1 + a1*X1 + b1*Y1 + c1*Z1, then this transform will map the point (a0,b0,c0) to (a1,b1,c1).
See Also