SMOOTH LOCAL SINUSOIDAL BASES ON 2-DIMENSIONAL L-SHAPED REGIONS

Authors
XIA XG
Citation
Xg. Xia, SMOOTH LOCAL SINUSOIDAL BASES ON 2-DIMENSIONAL L-SHAPED REGIONS, The journal of fourier analysis and applications, 4(1), 1998, pp. 53-66
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
The journal of fourier analysis and applications → ACNP
ISSN journal
10695869
Volume
4
Issue
1
Year of publication
1998
Pages
53 - 66
Database
ISI
SICI code
1069-5869(1998)4:1<53:SLSBO2>2.0.ZU;2-Y
Abstract
In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined on L-shaped reg ions. With this construction, one is able to construct local sinusoida l bases and lapped orthogonal transforms (LOT) on arbitrarily shaped r egions. This work is motivated from and useful in object-based video c oding, where a segmented moving object may have arbitrary shape and bl ock transform coding of this object is needed.