Dual univariate m-ary subdivision schemes of de Rham-type

作者：Conti Costanza; Romani Lucia^*

来源：Journal of Mathematical Analysis and Applications, 2013, 407(2): 443-456.

DOI：10.1016/j.jmaa.2013.05.009

• Linear subdivision
• Arity m
• Primal and dual parametrization
• Smoothness
• Polynomial reproduction

In this paper, we present an algebraic perspective of the de Rham transform of a binary subdivision scheme and propose an elegant strategy for constructing dual m-ary approximating subdivision schemes of de Rham-type, starting from two primal schemes of arity m and 2, respectively. On the one hand, this new strategy allows us to show that several existing dual corner-cutting subdivision schemes fit into a unified framework. On the other hand, the proposed strategy provides a straightforward algorithm for constructing new dual subdivision schemes having higher smoothness and higher polynomial reproduction capabilities with respect to the two given primal schemes.

• 出版日期2013-11-15