LIFTPACK is a software package written in C for fast calculation of 1D
and 2D wavelet transforms using the lifting scheme.
The lifting scheme is a new approach for the construction of wavelets
entirely in the spatial domain, i.e., independent of the Fourier
Transform. Constructing wavelets using lifting consists of three simple
phases: the first step or Lazy wavelet "splits" the data into two subsets,
even and odd, the second step calculates the wavelet coefficients (high
pass) as the failure to "predict" the odd set based on the even, and
finally the third step "updates" the even set using the wavelet
coefficients to compute the scaling function coefficients (low pass). The
predict phase ensures polynomial cancelation in the high pass (vanishing
moments of the dual wavelet) and the update phase ensures preservation of
moments in the low pass (vanishing moments of the primal wavelet). By
varying the order, an entire family of transforms can be built.
The lifting scheme ensures fast calculation of the forward and inverse
wavelet transforms that only involve FIR filters. The transform works for
images of arbitrary size with correct treatment of the boundaries. Also,
all computations can be done in-place.
LIFTPACK implements Haar wavelets and biorthogonal wavelets of even number
of vanishing moments. It also implements biorthogonal wavelet packets and
spatial mustiscale filtering operations for image processing effects. 1-D
and 2-D signals are accepted. All UNIX platforms are supported. After some
modifications, the software runs under DOS, Windows 3.1/95/NT, and MAC
platforms. Running times depend on the testing platform, but, under UNIX
boxes, they are usually faster than traditional fast wavelet
implementations. However, it is important to take into account that
LIFTPACK is a general purpose library. For a given wavelet, faster
implementations can be obtained by hardwiring the
Current Version: 1.0 (Release), 3.0beta
License Type: http://www.cs.sc.edu/~fernande/liftpack/license.html
Source Code Availability:
Available Binary Packages:
- Debian Package: No
- RedHat RPM Package: No
- Other Packages: Yes (gzipped tar file for Linux 2.0.29)
IRIX: gcc and cc, ULTRIX: gcc and cc, SunOS and Solaris: gcc (cc has portability problems),
FreeBSD: gcc and cc, Linux: gcc and cc, AIX: cc (after some modifications) and gcc,
HP-UX: gcc and cc (it not completely tested yet),
Windows 95/Windows NT: Borland C/C++ and Visual C/C++ (it not completely tested yet; an appropriate Makefile has not been written yet),
MacOS: it seems that portability is not too complicated.
An ANSI C compiler, Tcl/Tk and Tix (optional), gunzip and tar.
http://cm.bell-labs.com/who/wim/papers/papers.html#spie96 (Algorithms used by LIFTPACK)
http://www.cs.sc.edu/~fernande/liftpack/liftbibl.html#spie96 (technical report)
M. Unser, A. Aldroubi, and A. F. Laine, editors,
Wavelet Applications in Signal and Image Processing IV, Proc. SPIE 2825,
1996, pp. 396-408.
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