The technique of recursive subdivision can be visualised, loosely,
as successively chopping off the corners of a polyhedron to make it
less pointed. If the polyhedron is represented as a mesh of points
connected by edges, repeated application of the subdivision results
in progressively finer meshes tending in the limit to a surface.
The subdivision is determined by the weightings given to the respective
points and their neighbours…
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.