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
Interpolatory blending net subdivision schemes of Dubuc–Deslauriers type / C.Conti; N.Dyn; L.Romani. - In: COMPUTER AIDED GEOMETRIC DESIGN. - ISSN 0167-8396. - STAMPA. - 29:(2012), pp. 722-735. [10.1016/j.cagd.2012.08.001]
Interpolatory blending net subdivision schemes of Dubuc–Deslauriers type
CONTI, COSTANZA;
2012
Abstract
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 schemesI documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.