TY - CPAPER
AB - This paper presents new sufficient conditions under which a field (or image) can be perfectly reconstructed from its samples on a union of two lattices that share a common coarse lattice. In particular, if samples taken on the first lattice can be used to reconstruct a field bandlimited to some spectral support region, and likewise samples taken on the second lattice can reconstruct a field bandlimited to another spectral support region, then under certain conditions, a field bandlimited to the union of these two spectral regions can be reconstructed from its samples on the union of the two respective lattices. These results generalize a previous perfect reconstruction theorem for Manhattan sampling, where data is taken at high density along evenly spaced rows and columns of a rectangular grid. Additionally, a sufficient condition is given under which the Landau lower bound is achieved.
T1 - Sampling 2-D Signals on a Union of Lattices that Intersect on a Lattice
DA - 2014
AU - Unnikrishnan, Jayakrishnan
AU - Prelee, Matthew
JF - Proceedings of the 39th IEEE International Conference on Acoustics, Speech, and Signal Processing
PB - Ieee
PP - New York
ID - 197281
KW - Image sampling
KW - sampling methods
UR - http://infoscience.epfl.ch/record/197281/files/paper_1.pdf
ER -