'Declaration
 
Public Overloads Function ChangeBasis( _
   ByVal initial As Plane, _
   ByVal final As Plane _
) As Boolean

public bool ChangeBasis( 
   Plane initial,
   Plane final
)

Parameters

initial

Initial plane

final

Final plane

Return Value

If you have points defined with respect to planes, the version of ChangeBasis() that takes two planes computes the transformation to change coordinates from one plane to another. The predefined world plane Plane.XY can be used as an argument.

If P = plane0.Evaluate(a0, b0, c0)

and (a1,b1,c1) = ChangeBasis(plane0, plane1) * new Point3D(a0, b0, c0)

then P = plane1.Evaluate(a1, b1, c1)

The version of ChangeBasis() that takes six vectors maps (a0, b0, c0) to (a1, b1, c1) where a0*X0 + b0*Y0 + c0*Z0 = a1*X1 + b1*Y1 + c1*Z1.

The version of ChangeBasis() that takes six vectors with center points maps (a0, b0, c0) to (a1, b1, c1) where P0 + a0*X0 + b0*Y0 + c0*Z0 = P1 + a1*X1 + b1*Y1 + c1*Z1.

The change of basis transformation is not the same as the rotation transformation that rotates one orthonormal frame to another. See the Rotation() method.

Reference

Transformation Class
Transformation Members
Overload List