  Special curves in the Minkowski space such as Minkowski Pythagorean
hodographs play an important role in Computer Aided Geometric Design, and their
usages have been thoroughly studied in the recent years. Also, several papers
have been published which describe methods for interpolating Hermite data in
R2,1 by MPH curves. Bizzarri et al.introduced the class of RE curves and
presented an interpolation method for G1 Hermite data, where the resulting RE
curve yields a rational boundary for the represented domain. We now propose a
new application area for RE curves: skinning of a discrete set of input
circles. We find the appropriate Hermite data to interpolate so that the
obtained rational envelope curves touch each circle at previously defined
points of contact. This way we overcome the problematic scenarios when the
location of the touching points would not be appropriate for skinning purposes.
