This paper describes an algebraic construction of bivariate interpolatory subdivision masks induced by three-directional box spline subdivision schemes. Specifically, given a three-directional box spline, we address the problem of defining a corresponding interpolatory subdivision scheme by constructing an appropriate correction mask to convolve with the three-directional box spline mask. The proposed approach is based on the analysis of certain polynomial identities in two variables and leads to interesting new interpolatory bivariate subdivision schemes.
|Autori:||Conti C; Gemignani L; Romani L|
|Titolo:||A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines|
|Anno del prodotto:||2013|
|Digital Object Identifier (DOI):||10.1007/s10444-012-9285-9|
|Appare nelle tipologie:||1.1 Articolo in rivista|