  Blending schemes based on circles provide smooth `fair' interpolations
between series of points. Here we demonstrate a simple, robust set of
algorithms for performing circle blends for a range of cases. An arbitrary
level of G-continuity can be achieved by simple alterations to the underlying
parameterisation. Our method exploits the computational framework provided by
conformal geometric algebra. This employs a five-dimensional representation of
points in space, in contrast to the four-dimensional representation typically
used in projective geometry. The advantage of the conformal scheme is that
straight lines and circles are treated in a single, unified framework. As a
further illustration of the power of the conformal framework, the basic idea is
extended to the case of sphere blending to interpolate over a surface.
