Now showing items 1-4 of 4
Interpolatory bivariate refinable functions and subdivision
(Stellenbosch : Stellenbosch University, 2008-03)
See full text for abstract.
Polynomial containment in refinement spaces and wavelets based on local projection operators
(Stellenbosch : Stellenbosch University, 2007-03)
ENGLISH ABSTRACT: See full text for abstract
Vector refinable splines and subdivision
(Stellenbosch : Stellenbosch University, 2008-12)
In this thesis we study a standard example of refinable functions, that is, functions which can be reproduced by the integer shifts of their own dilations. Using the cardinal B-spline as an introductory example, we prove ...
Interpolatory refinement pairs with properties of symmetry and polynomial filling
(Stellenbosch : University of Stellenbosch, 2008-03)
Subdivision techniques have, over the last two decades, developed into a powerful tool in computer-aided geometric design (CAGD). In some applications it is required that data be preserved exactly; hence the need for ...