Wavelet Toolbox
Index
A
Adding a new wavelet
Algorithm
Coifman-Wickerhauser <1>
<2>
Decomposition
Discrete Wavelet Transform (DWT)
Fast Wavelet Transform (FWT)
Filters
For biorthogonal
Mallat <1>
<2>
Rationale
Reconstruction
Stationary Wavelet Transform (SWT)
Analysis
Biorthogonal <1>
<2>
Case study
Continuous
Continuous complex
Continuous or discrete
Continuous real
Discrete
Illustrated examples
Local
Local and global
Multiscale <1>
<2>
One-dimensional discrete wavelet
One-dimensional wavelet packet
Orthogonal <1>
<2>
<3>
<4>
Redundant
Time-scale <1>
<2>
<3>
Translation invariant
Two-dimensional discrete wavelet
Two-dimensional wavelet packet
Wavelet <1>
<2>
Wavelet Packet
See also Transform
Approximation
Coefficients <1>
<2>
<3>
Definition <1>
<2>
Reconstruction
Axes
View
B
Basis
Binning <1>
<2>
<3>
<4>
Biorthogonal wavelets <1>
<2>
See also Analysis
Border distortion
Boundary value replication
Periodic extension
Periodized Wavelet Transform
Smooth padding <1>
<2>
<3>
Symmetric extension <1>
<2>
Symmetrization
Zero-padding <1>
<2>
<3>
Breakdown <1>
<2>
Frequency
Variance
C
Chirp <1>
<2>
<3>
Coefficients
Approximation <1>
<2>
<3>
Coloration
Complex Continuous Wavelet
Continuous Wavelet
Detail <1>
<2>
<3>
Discrete Wavelet <1>
<2>
Line
Load
See Importing to the GUI
Save
See Exporting from the GUI
Coiflets <1>
<2>
Coloration mode <1>
<2>
Color coding
Controlling the colormap
Complex frequency B-Spline wavelets
Complex Gaussian wavelets
Complex Morlet wavelets
Complex Shannon wavelets
Compression <1>
<2>
<3>
<4>
Default values <1>
<2>
<3>
Difference with de-noising
Energy ratio
Methods
Norm recovery
Number of zeros
Procedure <1>
<2>
Retained energy
Continuous Wavelet Transform
See Analysis, Transform
CWT
See Transform
D
Daubechies wavelets <1>
<2>
Decimation
See Downsampling
Decomposition <1>
<2>
<3>
<4>
<5>
Best-level
Entropy-based criteria
Hierarchical organization
Load
See Importing to the GUI
Multi-step
Optical comparison
Optimal
Save
See Exporting from the GUI
Structure <1>
<2>
<3>
De-noising <1>
<2>
Basic model <1>
<2>
Default values <1>
<2>
<3>
Fixed form threshold
Image <1>
<2>
<3>
Methods
Minimax performance
Noise size estimate
Non-white noise
Procedure <1>
<2>
SURE estimate
Using SWT <1>
<2>
<3>
<4>
<5>
Variance adaptive
White noise
Density estimation <1>
<2>
Detail
Coefficients <1>
<2>
<3>
Decomposition
Definition <1>
<2>
Orientation
Reconstruction
Dilation <1>
<2>
Discontinuity <1>
<2>
See also Breakdown
Discrete Meyer wavelet
Discrete Wavelet Transform
See Analysis, Transform
Display mode 2-D
Square
Tree
Downsampling <1>
<2>
DWT
See Transform
E
Edge effects
See Border distortion
Entropy <1>
<2>
Estimation
Default values
See Function estimation
Exporting from the GUI
Complex Continuous Wavelet
Continuous Wavelet
Discrete Stationary Wavelet 1-D
Discrete Stationary Wavelet 2-D
Discrete Wavelet 1-D
Discrete Wavelet 2-D
Image extension
Signal extension
Variance adaptive thresholding
Wavelet Density Estimation 1-D
Wavelet Packets
Wavelet Regression Estimation 1-D
Extension mode
See Border distortion
F
Fast multiplication of large matrices
Fast Wavelet Transform (FWT)
See Transform
Filter
Banks
Decomposition
FIR <1>
<2>
<3>
<4>
<5>
<6>
High-pass
Low-pass
Minimum phase
Quadrature mirror <1>
<2>
<3>
Reconstruction <1>
<2>
Scaling
See also Twin-scale relation
Fingerprint
Fixed design
See Regression estimation
Fourier <1>
<2>
<3>
Analysis <1>
<2>
<3>
<4>
Short-time analysis (STFT)
Windowed analysis
Fractal <1>
<2>
Frequency
Parameter
Related to scale
See also Fourier
Frequency B-Spline wavelets
Full decomposition mode
Function estimation
FWT
See Transform
G
Gaussian wavelets
GUI <1>
<2>
<3>
Complex Continuous Wavelet
Continuous Wavelet
Density estimation
Full window resolution
Image de-noising using SWT
Image extension / truncation
Local variance adaptive thresholding
Regression estimation
Signal de-noising using SWT
Signal extension / truncation
Using menus
Using the mouse
Wavelet coefficients selection 1-D
Wavelet coefficients selection 2-D
Wavelet Display
Wavelet one-dimensional
Wavelet Packet
Wavelet Packet Display
Wavelet two-dimensional
H
Haar wavelet <1>
<2>
Heisenberg uncertainty principle
History
I
IDWT
See Transform
Image
Importing to the GUI
Complex Continuous Wavelet
Continuous Wavelet
Discrete Stationary Wavelet 1-D
Discrete Stationary Wavelet 2-D
Discrete Wavelet 1-D
Discrete Wavelet 2-D
Variance adaptive thresholding
Wavelet Density Estimation 1-D
Wavelet Packets
Wavelet Regression Estimation 1-D
Indexed image
matrix indices, shifting
ISWT
See Transform
L
Level <1>
<2>
<3>
<4>
<5>
<6>
<7>
See also Multilevel, Wavelet Packet Best level
Load
See Importing in the GUI
Local
See Analysis
Local Maxima Lines <1>
<2>
Long-term evolution <1>
<2>
<3>
<4>
<5>
<6>
<7>
M
Mathematical conventions
Merge
See Wavelet Packet
Mexican hat <1>
<2>
Meyer wavelet <1>
<2>
Minimax
Missing data
More display options <1>
<2>
Morlet wavelet <1>
<2>
Multilevel <1>
<2>
<3>
<4>
Multiresolution <1>
<2>
Multistep
N
Node
Action
Label
Noise <1>
<2>
ARMA
Colored
Gaussian <1>
<2>
Processing <1>
<2>
<3>
<4>
<5>
<6>
<7>
Suppressing
See also De-noising
Unscaled
White <1>
<2>
<3>
<4>
<5>
O
Objects
Outliers
P
Packet
See Wavelet Packet
Padding
See Border distortion <1>
<2>
<3>
<4>
Periodized Wavelet Transform
See Border distortion <1>
<2>
<3>
<4>
Positions
Q
Quadrature mirror filters (QMF) <1>
<2>
<3>
R
Random design
See Regression estimation
Reconstruction
Approximation
Detail
Filters
Multi-step
Redundancy
Regression estimation <1>
<2>
Regularity <1>
<2>
Definition
Resemblance index
Residuals display <1>
<2>
<3>
<4>
<5>
Reverse Biorthogonal wavelets
RGB images
Converting from
S
Save
See Exporting from the GUI
Scale <1>
<2>
And frequency
Choosing <1>
<2>
Dyadic <1>
<2>
<3>
To frequency <1>
<2>
<3>
Scale mode
Scaling filter
Scaling function <1>
<2>
<3>
Self-similarity <1>
<2>
Separate mode
Shannon wavelets
Shift
See also Translation
Show and scroll mode
Show and scroll mode (stem coefs)
Shrink
See Thresholding
Signal-end effects
See Border distortion
Spline <1>
<2>
Split
See Wavelet Packet
Square mode
Stationary Wavelet Transform
See Transform
STFT
See Fourier
Superimpose mode
Support
See Wavelet Families
SWT
See Transform
Symlets <1>
<2>
Symmetry
See Wavelet Families
Synthesis <1>
<2>
T
Thresholding
Hard
Interval dependent
Rules
Soft
See also De-noising, Compression
Time-scale
See Analysis
Transform
Continuous versus discrete
Continuous Wavelet (CWT) <1>
<2>
Discrete Wavelet (DWT) <1>
<2>
Fast Wavelet (FWT)
Inverse (IDWT) <1>
<2>
<3>
<4>
Inverse Stationary Wavelet (ISWT)
Stationary Wavelet (SWT)
Translation invariant
Transient
See also Breakdown
Translation
Dyadic
Invariance
See also Shift
Tree
Best
Best-level
Decomposition
Mode <1>
<2>
<3>
Objects
Wavelet <1>
<2>
<3>
Wavelet Packet <1>
<2>
<3>
<4>
Tree mode <1>
<2>
<3>
Trend
See Long-term evolution
Twin-scale relation <1>
<2>
<3>
<4>
U
Upsampling <1>
<2>
<3>
V
Vanishing moments <1>
<2>
<3>
<4>
Variance adaptive thresholding
View Axes
W
Wavelet <1>
<2>
<3>
Add new
Applications
Associated family <1>
<2>
Battle-Lemarie
Biorthogonal <1>
<2>
Candidate to be a
Coefficients
Coiflets <1>
<2>
Complex frequency B-Spline
Complex Gaussian
Complex Morlet
Complex Shannon
Daubechies <1>
<2>
Discrete Meyer
Gaussian
Haar <1>
<2>
History of
Mexican hat <1>
<2>
Meyer <1>
<2>
Morlet <1>
<2>
One-dimensional capabilities <1>
<2>
Order
Organization
Relationship of filters to
Reverse Biorthogonal
Shapes
Symlets <1>
<2>
Translation <1>
<2>
See also Shift
Tree <1>
<2>
<3>
<4>
<5>
<6>
Two-dimensional
Two-dimensional capabilities <1>
<2>
Type
Vanishing moments <1>
<2>
<3>
<4>
<5>
Wavelet Families <1>
<2>
<3>
<4>
<5>
Add new
Full name
Properties <1>
<2>
Regularity <1>
<2>
Short name
Support
Symmetry
Vanishing moments <1>
<2>
<3>
<4>
Wavelet Packet <1>
<2>
<3>
Atoms
Best level <1>
<2>
<3>
Best tree <1>
<2>
<3>
<4>
Building
Compression <1>
<2>
Decomposition <1>
<2>
De-noising
Frequency order
From wavelets to
Merge
Natural order
Objects
Organization
Split
Tree <1>
<2>
<3>
<4>
Z
Zoom <1>
<2>
<3>
<4>
Compatibility with Earlier Versions
