Title :
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
fDate :
6/23/1905 12:00:00 AM
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;
Conference_Titel :
Image Processing, 2001. Proceedings. 2001 International Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
0-7803-6725-1
DOI :
10.1109/ICIP.2001.958075
