THE LIFTING SCHEME - A CONSTRUCTION OF 2ND-GENERATION WAVELETS

Authors
SWELDENS W
Citation
W. Sweldens, THE LIFTING SCHEME - A CONSTRUCTION OF 2ND-GENERATION WAVELETS, SIAM journal on mathematical analysis, 29(2), 1998, pp. 511-546
Citations number
116
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
29
Issue
2
Year of publication
1998
Pages
511 - 546
Database
ISI
SICI code
0036-1410(1998)29:2<511:TLS-AC>2.0.ZU;2-6
Abstract
We present the lifting scheme, a simple construction of second generat ion wavelets; these are wavelets that are not necessarily translates a nd dilates of one fixed function. Such wavelets can be adapted to inte rvals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to a faster, in-place calculation of the wave let transform. Several examples are included.