A NEW CLASS OF BINARY APPROXIMATING SUBDIVISION SCHEMES
DOI:
https://doi.org/10.11113/jt.v78.8301Keywords:
Approximating scheme, continuity, polynomial reproduction, artifactsAbstract
In this article, we present a general algorithm to generate a new class of binary approximating subdivision schemes and give derivation of some family members. We discuss important properties of derived schemes such as: convergence, continuity, Hlder regularity, degree of polynomial generation and reproduction, support, limit stencils and artifacts. Furthermore, visual performance of proposed schemes has also been presentedIn this article, we present a general algorithm to generate a new class of binary approximating subdivision schemes and give derivation of some family members. We discuss important properties of derived schemes such as: convergence, continuity, Hlder regularity, degree of polynomial generation and reproduction, support, limit stencils and artifacts. Furthermore, visual performance of proposed schemes has also been presented.
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