Browsing by Author "Calistrate, Magdalena"
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Item Open Access Binary subdivision schemes(1996) Calistrate, Magdalena; Salkauskas, KestutisThis thesis presents the general theory of uniform binary subdivision schemes with emphasis on the convergence of such algorithms. Also, a generalization of a known result to the case of any set of initial data is stated and proved. In terms of applications, known subdivision schemes and a new one together with graphical examples are discussed in view of properties such as interpolatory, polynomial preserving and the smoothness class of the limit function.