Laolacian ovramids. The overcomoleteness of the reoresentationThe Laplacian pyramid was proposed as a compact image code by Burt. However, it is shown that it does not achieve optimal signal compaction due to significant overlap between subbands in the frequency domain. In addition, it also leads to a slightly redundant signal representation. An extension of the Laplacian pyramid is proposed that exploits this redundancy to achieve better signal compaction. In contrast to the unidirectional fine to coarse approach used by all multiscale representations, the proposed signal representation adopts a hi-directional approach. Each subband finally depends on both its coarser and finer neighboring subbands. The representation is symmetric in the sense that each subbandis aproduct of an approximation process (based on a finer approximation) as well as a prediction process (based on a coarser approximation). Applications a e in the areas of image characterisation, zooming and compression.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.