We extend our previous work on interpolatory vector subdivision schemes to the multivariate case. As in the univariate case we show that the diagonal and off-diagonal elements of such a scheme have a significantly different structure and that under certain circumstances symmetry of the mask can increase the polynomial reproduction power of the subdivision scheme. Moreover, we briefly point out how tensor product constructions for vector subdivision schemes can be obtained.
Full rank interpolatory subdivision: a first encounter with the multivariate realm / Conti, C; Cotronei, Mariantonia; Sauer, T. - In: JOURNAL OF APPROXIMATION THEORY. - ISSN 0021-9045. - 162:3(2010), pp. 559-575. [10.1016/j.jat.2009.08.008]
Full rank interpolatory subdivision: a first encounter with the multivariate realm
COTRONEI, Mariantonia;
2010-01-01
Abstract
We extend our previous work on interpolatory vector subdivision schemes to the multivariate case. As in the univariate case we show that the diagonal and off-diagonal elements of such a scheme have a significantly different structure and that under certain circumstances symmetry of the mask can increase the polynomial reproduction power of the subdivision scheme. Moreover, we briefly point out how tensor product constructions for vector subdivision schemes can be obtained.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
