Now showing items 1-4 of 4
A multiresolutional approach to the construction of spline wavelets
(Stellenbosch : Stellenbosch University, 2000-04)
ENGLISH ABSTRACT: In this thesis we study a wavelet construction procedure based on a multiresolutional method, before specializing to the case of spline wavelets. First, we introduce and analyze the concepts of scaling ...
Polynomial containment in refinement spaces and wavelets based on local projection operators
(Stellenbosch : Stellenbosch University, 2007-03)
ENGLISH ABSTRACT: See full text for abstract
Interpolatory refinable functions, subdivision and wavelets
(Stellenbosch : University of Stellenbosch, 2005-03)
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 ...
Cardinal spline wavelet decomposition based on quasi-interpolation and local projection
(Stellenbosch : University of Stellenbosch, 2009-03)
Wavelet decomposition techniques have grown over the last two decades into a powerful tool in signal analysis. Similarly, spline functions have enjoyed a sustained high popularity in the approximation of data. In this ...