Non-separable extensions of quadrature mirror filters to multiple dimensions

Author

Simoncelli, Eero P. ; Adelson, Edward H.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA

Volume

78

Issue

4

fYear

1990

fDate

4/1/1990 12:00:00 AM

Firstpage

652

Lastpage

664

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

Keywords

computerised picture processing; digital filters; high-pass filters; 3-D spatiotemporal extensions; hexagonal symmetry; high-pass filters; image compression; motion analysis; multiple dimensions; multiscale pyramid representation; nonseparable extensions; nonstandard sampling lattices; orientation analysis; orientation specificity; progressive transmission; quadrature mirror filters; rectangularly sampled images; rhombic-dodecahedral symmetry; Data compression; Filter bank; Frequency; Image analysis; Image coding; Image motion analysis; Image reconstruction; Image sampling; Mirrors; Signal processing;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/5.54805

Filename

54805