A Cascadic Geometric Filtering Approach to Subdivision

curvature motion will be presented.
Such an evolution can be understood as a natural geometric filter
process where time corresponds to
the filter width. Thus, subdivision can be interpreted as the
application of a ´´geometric´´ filter on an initial surface.
The approach closely connects subdivision to surface fairing concerning
the geometric smoothing and
to cascadic multigrid methods with respect to the actual numerical
procedure. The derived method does not distinguish between different
valences of nodes nor between different mesh refinement types.