Interpolatory refinable functions, subdivision and wavelets
Thesis (DSc (Mathematical Sciences))--University of Stellenbosch, 2005.
Subdivision is an important iterative technique for the efficient generation of curves and surfaces in geometric modelling. The convergence of a subdivision scheme is closely connected to the existence of a corresponding refinable function. In turn, such a refinable function can be used in the multi-resolutional construction method for wavelets, which are applied in many areas of signal analysis.