Version 3.0 (R14) Wavelet Toolbox™ Software

This table summarizes what's new in V3.0 (R14):

New Features and Changes	Version Compatibility Considerations	Fixed Bugs and Known Problems	Related Documentation at Web Site
V3.0 (R14)	Yes--Details labeled as Compatibility Considerations, below. See also Summary.	Fixed Bugs	No

New features and changes introduced in this version are

Wavelet Design for CWT Tool Added

The New Wavelet for CWT tool designs a new wavelet adapted to a given pattern using least squares optimization. The new wavelet can be used for accurate pattern detection using the continuous wavelet transform (cwt). This new tool is useful for creating new wavelets for accurate 1-D pattern detection. From the command line, use the pat2cwav function.

Image Fusion Tool Added

The Image Fusion tool performs fusion of two images. Image fusion using wavelets merges the wavelet decompositions of two original images using various fusion methods applied to approximations coefficients and details coefficients. Examples of uses of this tool are creating a new image from two different images and restoring an image from two fuzzy versions of an original image. From the command line, use the wfusimg and wfusmat functions to fuse two images and fuse two matrices or arrays, respectively.

Fractional Brownian Generation 1-D Tool Added

The Fractional Brownian Generation 1-D tool performs the random generation of fractional Brownian motion, which is a useful model for Internet traffic and financial series. From the command line, use the wfbm and wfbmesti functions to synthesize and perform parameter estimation of fractional Brownian motion, respectively.

Lifting Methods Added

You can use lifting methods to design new wavelets. The new lifting methods also allow integer-to-integer wavelet transforms and transforms using different length decomposition high-pass and low-pass filters. Five groups of new lifting functions are included in Wavelet Toolbox, Version 3.0:

• Key lifting scheme structures
• addlift--Add primal or dual elementary lifting steps to a lifting scheme
• displs--Display a lifting scheme
• lsinfo--Information about lifting schemes
• Biorthogonal quadruplets of filters
• bswfun--Compute and plot biorthogonal "scaling and wavelet" functions
• filt2ls--Transform a quadruplet of filters to a lifting scheme
• liftfilt--Apply elementary lifting steps on quadruplet of filters
• ls2filt--Transform a lifting scheme to a quadruplet of filters
• Orthogonal or biorthogonal ("true") wavelets and "lazy" wavelets.
• liftwave--Provides lifting scheme associated to a wavelet
• wave2lp--Provides Laurent polynomials associated to a wavelet
• wavenames--Provides wavelet names available for LWT
• Direct and inverse Lifting Wavelet Transform (LWT)
• lwt--1-D Lifting Wavelet Transform
• lwt2--2-D Lifting Wavelet Transform
• lwtcoef--Extract or reconstruct 1-D LWT wavelet coefficients
• lwtcoef2--Extract or reconstruct 2-D LWT wavelet coefficients
• ilwt--Inverse 1-D Lifting Wavelet Transform
• ilwt2--Inverse 2-D Lifting Wavelet Transform
• Laurent polynomials and matrices (see Note below)
• laurmat--Constructor for the class LM of Laurent Matrices
• laurpoly--Constructor for the class LP of Laurent Polynomials

Compatibility Consideration

If you saved laurmat or laurpoly objects using the names lm or lp, respectively, in the Beta release, you must rename them to laurmat or laurpoly, respectively, in this release of Wavelet Toolbox 3.0.

Speed Enhancements

Many functions, including those involving decomposition and reconstruction, have been enhanced so they run more efficiently.

New Extension Modes for DWT

Four new extension modes are available for dwt, which allows specifying half- or whole-point symmetry, or half- or whole-point anti-symmetry. See dwtmode. These new extension modes are supported by both wextend to extend or truncate signal or images, and by the corresponding GUI tools: Signal Extension and Image Extension.

New Supported Image Formats

Images stored using JPEG, TIFF, PCX, and others can be directly loaded into the Wavelet Toolbox GUI.

Images stored in uint8 format can be used in all the 2-D tools.

Images stored in True Colour mode are converted automatically in indexed mode when loaded in the 2-D tools. See the Wavelet Toolbox documentation on working with images for more information.

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Version 3.0.1 (R14SP1) Wavelet Toolbox™ Software

Fixed Bugs

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