Pyramidal directional filter banks and curvelets

Author

Do, Minh N. ; Vetterli, Martin

Author_Institution

Audio-Visual Commun. Lab., Swiss Fed. Inst. of Technol., Lausanne, Switzerland

Volume

3

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

158

Abstract

A flexible multiscale and directional representation for images is proposed. The scheme combines directional filter banks with the Laplacian pyramid to provide a sparse representation for two-dimensional piecewise smooth signals resembling images. The underlying expansion is a frame and can be designed to be a tight frame. Pyramidal directional filter banks provide an effective method to implement the digital curvelet transform. The regularity issue of the iterated filters in the directional filter bank is examined

Keywords

image reconstruction; image representation; image resolution; iterative methods; wavelet transforms; Laplacian pyramid; digital curvelet transform; directional filter banks; directional image representation; frame expansion; iterated filters; multiscale image representation; piecewise smooth signals; pyramidal directional filter banks; regularity; sparse representation; tight frame; two-dimensional signals; Channel bank filters; Filter bank; Frequency; Image representation; Image resolution; Laboratories; Laplace equations; Matrix decomposition; Signal processing; Signal resolution;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2001. Proceedings. 2001 International Conference on

Conference_Location

Thessaloniki

Print_ISBN

0-7803-6725-1

Type

conf

DOI

10.1109/ICIP.2001.958075

Filename

958075