Journalartikel

Jahr der Veröffentlichung: 2002

Seiten: 231-261

Zeitschrift: BIT Numerical Mathematics

Bandnummer: 42

Heftnummer: 2

ISSN: 0006-3835

DOI Link: https://doi.org/10.1023/A:1021990606994

Verlag: Springer

Abstract: 
To explore the full approximation order and thus compression power of a multifilter, it is usually necessary to incorporate prefilters. Using matrix factorization techniques, we describe an explicit construction of such prefilters. Although in the case of approximation order 1 these prefilters are simply bi-infinite block diagonal matrices, they can become very intricate as soon as one aims for higher approximation order. For this reason, we introduce a particular class of multifilters which we call full rank multifilters. These filters have a peculiar structure which allows us to obtain approximation order without the use of prefilters. he construction of such filters via the lifting scheme is pointed out and examples of the performance of these filters for image compression are given.

Harvard-Zitierstil: Bacchelli, S., Cotronei, M. and Sauer, T. (2002) Multifilters with and without prefilters, BIT Numerical Mathematics, 42(2), pp. 231-261. https://doi.org/10.1023/A:1021990606994

APA-Zitierstil: Bacchelli, S., Cotronei, M., & Sauer, T. (2002). Multifilters with and without prefilters. BIT Numerical Mathematics. 42(2), 231-261. https://doi.org/10.1023/A:1021990606994