Journalartikel
Autorenliste: Conti, C.; Cotronei, M.; Sauer, T.
Jahr der Veröffentlichung: 2008
Seiten: 5-27
Zeitschrift: BIT Numerical Mathematics
Bandnummer: 48
Heftnummer: 1
ISSN: 0006-3835
DOI Link: https://doi.org/10.1007/s10543-008-0162-3
Verlag: Springer
Abstract:
We investigate full rank interpolatory vector subdivision schemes whose masks are positive definite on the unit circle except the point z=1. Such masks are known to give rise to convergent schemes with a cardinal limit function in the scalar case. In the full rank vector case, we show that there also exists a cardinal refinable function based on this mask, however, with respect to a different notion of refinability which nevertheless also leads to an iterative scheme for the computation of vector fields. Moreover, we show the existence of orthogonal scaling functions for multichannel wavelets and give a constructive method to obtain these scaling functions.
Zitierstile
Harvard-Zitierstil: Conti, C., Cotronei, M. and Sauer, T. (2008) Full rank positive matrix symbols: Interpolation and orthogonality, BIT Numerical Mathematics, 48(1), pp. 5-27. https://doi.org/10.1007/s10543-008-0162-3
APA-Zitierstil: Conti, C., Cotronei, M., & Sauer, T. (2008). Full rank positive matrix symbols: Interpolation and orthogonality. BIT Numerical Mathematics. 48(1), 5-27. https://doi.org/10.1007/s10543-008-0162-3
Schlagwörter
full rank schemes; interpolatory matrix refinable function; matrix spectral factorization; refinement equation; SPECTRAL FACTORIZATION; SUBDIVISION; subdivision schemes; WAVELETS
