TY - JOUR
T1 - A family of two-dimensional nonseparable malvar wavelets
AU - Xia, Xiang Gen
AU - Suter, Bruce W.
PY - 1995/7
Y1 - 1995/7
N2 - Malvar wavelets or lapped orthogonal transform (LOT) has been recognized as a useful tool in eliminating blocking effects in transform coding. Recently, it has been also extended to more general forms, which enable one to construct an orthonormal basis from arbitrary local orthonormal bases on different intervals. In this paper, we study two-dimensional cases and construct nonseparable Malvar wavelets, which are potentially important in multidimensional signal analysis. With nonseparable Malvar wavelets, we then construct nonseparable Lemarié-Meyer wavelets which are band-limited. We discuss the implementation and applications of nonseparable Malvar wavelets in image processing. Finally, we present several numerical examples.
AB - Malvar wavelets or lapped orthogonal transform (LOT) has been recognized as a useful tool in eliminating blocking effects in transform coding. Recently, it has been also extended to more general forms, which enable one to construct an orthonormal basis from arbitrary local orthonormal bases on different intervals. In this paper, we study two-dimensional cases and construct nonseparable Malvar wavelets, which are potentially important in multidimensional signal analysis. With nonseparable Malvar wavelets, we then construct nonseparable Lemarié-Meyer wavelets which are band-limited. We discuss the implementation and applications of nonseparable Malvar wavelets in image processing. Finally, we present several numerical examples.
UR - http://www.scopus.com/inward/record.url?scp=0040161149&partnerID=8YFLogxK
U2 - 10.1006/acha.1995.1017
DO - 10.1006/acha.1995.1017
M3 - Article
AN - SCOPUS:0040161149
SN - 1063-5203
VL - 2
SP - 243
EP - 256
JO - Applied and Computational Harmonic Analysis
JF - Applied and Computational Harmonic Analysis
IS - 3
ER -