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Finite Ridgelet Transform Toolbox (FRIT) - Version 0.5
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FRIT is a Matlab toolbox that implements the finite ridgelet transforms.
The transform algorithms implemented in this toolbox are mainly based on the
following papers:
1. M. N. Do and M. Vetterli, "Orthogonal finite ridgelet transform for image
compression", IEEE International Conference on Image Processing (ICIP),
Vancouver, Canada, September 2000.
2. M. N. Do and M. Vetterli, "Image denoising using orthonormal finite
ridgelet transform", Proc. of SPIE Conf. on Wavelet Applications in Signal
and Image Processing VIII, San Diego, USA, August 2000.
3. M. N. Do and M. Vetterli, "The finite ridgelet transform for image
representation", IEEE Transactions on Image Processing, November 2002.
The following invertible transforms are provided in the toolbox:
FRAT Finite Radon transform.
FRATC The MEX file (should be compiled before the first use) that does the
actual computation of the FRAT.
FRATF Finite Radon transform. This version use FFT2 and is 100% in Matlab
but slower than FRAT.
FRIT Finite ridgelet transform. This is the general version of the
finite ridgelet transform.
FRITO Orthonormal finite ridgelet transform. There are additional
restrictions on the image size and number of wavelet decomposition
levels.
FRATFD Folded finite Radon transform.
FRITFD Folded finite ridgelet transform
AFRIT Adaptive finite ridgelet transform.
The inverse transforms for those are Ixxx, for example IFRIT.
The script file FRITDEMO contains examples on how to use some of those
functions. In addition, the files COMPARE_NLA, COMPARE_COMPRESS and
COMPARE_DENOISE test the performance of FRIT against other traditional
transforms and produce images that included in the above papers.
This toolbox requires the Wavelet Toolbox by MathWorks. It has been tested
on the Matlab Version 5.3 and the Wavelet Toolbox Version 1.2.
To use the toolbox, before the first run, the two C programs FRATC and IFRATC
have to be complied into mex files. That means, from the Matlab command
window, type:
mex fratc.c
mex ifratc.c
The toolbox includes precompiled mex files for Solaris, Linux and Windows
platforms.
Comments, suggestions, or questions can be sent to:
minhdo@uiuc.edu
http://www.ifp.uiuc.edu/~minhdo
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