  In this work we investigate two distinct extensions of the deformation
procedure introduced in former works on deformed defects. The first extension
deals with the use of deformation functions which can assume complex values,
and the second concerns the possibility of making the deformation dependent on
the defect solution of the model used to implement the deformation. These two
extensions bring the deformation procedure to a significantly higher standard
and allow to build interesting results, as we explicitly illustrate with
examples of current interest to high energy physics.
