Title
On the multidimensional extension of the quincunx subsampling matrix
Abstract
The dilation matrix associated with the three-dimensional (3-D) face-centered cubic (FCC) sublattice is often considered to be the natural 3-D extension of the two-dimensional (2-D) quincunx dilation matrix. However, we demonstrate that both dilation matrices are of different nature: while the 2-D quincunx matrix is a similarity transform, the 3-D FCC matrix is not. More generally, we show that is...
Year
DOI
Venue
2005
10.1109/LSP.2004.839697
IEEE Signal Processing Letters
Keywords
Field
DocType
Multidimensional systems,Lattices,FCC,Sampling methods,Two dimensional displays,Matrix decomposition,Discrete wavelet transforms,Multidimensional signal processing,Biomedical imaging
Isotropy,Quincunx,Lattice (order),Matrix (mathematics),Mathematical analysis,Quincunx matrix,Artificial intelligence,Upsampling,Cartesian coordinate system,Dilation (morphology),Pattern recognition,Algorithm,Mathematics
Journal
Volume
Issue
ISSN
12
2
1070-9908
Citations 
PageRank 
References 
6
0.47
0
Authors
3
Name
Order
Citations
PageRank
D. Vandeville1484.52
T Blu22574259.70
Unser, M.33438442.40