CREATEBASISTRANSFORM3D Compute matrix for transforming a basis into another basis.

   TRANSFO = createBasisTransform3d(SOURCE, TARGET) will create a 4-by-4
   transformation matrix representing the transformation from SOURCE basis
   to TARGET basis. 
    SOURCE and TARGET are either standard 1-by-9 geom3d PLANE
    representations of the form: [x0 y0 z0  ex1 ey1 ez1  ex2 ey2 ez2]
     OR
    SOURCE and TARGET may be any string such as 'global' or 'g' in which
    case they represent the global plane [0 0 0 1 0 0 0 1 0].

   The resulting TRANSFO matrix is such that a point expressed with
   coordinates of the first basis will be represented by new coordinates
   P2 = transformPoint3d(P1, TRANSFO) in the target basis.

   Either (or both) SOURCE or TARGET may be an N-by-9 set of N planes. In
   that case, TRANSFO will be a 4-by-4-by-N array of N transformation
   matrices.

   Example:
     % Calculate local plane coords. of a point given in global coords.
     plane = [10 10 10  1 0 0  0 1 0];
     transfo = createBasisTransform3d('global', plane);
     PT_IN_PLANE = transformPoint3d([3 8 2], transfo)
     PT_IN_PLANE =
         13  18  12

   See also
     transforms3d, transformPoint3d, planePosition, createBasisTransform

Package: matgeom