This directory includes matlab interface of the Curvelet transform
using usfft.
Basic functions
fdct_usfft.m -- forward Curvelet transform
afdct_usfft.m -- adjoint Curvelet transform
ifdct_usfft.m -- inverse Curvelet transform
fdct_usfft_param.m -- returns the location of each Curvelet in phase-space
Useful tools
fdct_usfft_dispcoef.m -- returns a matrix contains all Curvelet coefficients
fdct_usfft_pos2idx.m -- for fixed scale and fixed direction, returns
the Curvelet which is closest to a certain point on the image
Demos
fdct_usfft_demo_basic.m -- display the shape of a Curvelet
fdct_usfft_demo_recon.m -- partial reconstruction using Curvelet
fdct_usfft_demo_disp.m -- display all the Curvelet coefficients of an image
fdct_usfft_demo_denoise.m -- image denoising using Curvelet
Abstract - A fl exible multiscale and directional representation for images is
proposed. The scheme combines directional fi lter banks with the
Laplacian pyramid to provides 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 fi lter banks provide an effective
method to implement the digital Curvelet transform. The regularity
issue of the iterated fi lters in the directional fi lter bank is examined.
