Non-separable extensions of quadrature mirror filters to multiple dimensions

Eero Simoncelli, Edward H. Adelson

Research output: Contribution to journalArticle

Abstract

Generalized non-separable extensions of quadrature mirror filter (QMF) banks to two and three dimensions, in which the orientation specificity of the high-pass filters is greatly improved, are described. In particular, extensions to two dimensions with hexagonal symmetry, and 3-D spatiotemporal extensions with rhombic-dodecahedral symmetry, are discussed. Although these filters are conceived and designed on nonstandard sampling lattices, they can be applied to rectangularly sampled images. As in one dimension, these transformations can be hierarchically cascaded to form a multiscale pyramid representation. A set of example filters is designed and applied to the problems of image compression, progressive transmission, orientation analysis, and motion analysis.

Original languageEnglish (US)
Pages (from-to)652-664
Number of pages13
JournalProceedings of the IEEE
Volume78
Issue number4
DOIs
StatePublished - Apr 1990

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High pass filters
Filter banks
Digital filters
Image compression
Sampling
Motion analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Non-separable extensions of quadrature mirror filters to multiple dimensions. / Simoncelli, Eero; Adelson, Edward H.

In: Proceedings of the IEEE, Vol. 78, No. 4, 04.1990, p. 652-664.

Research output: Contribution to journalArticle

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