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
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
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
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
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
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
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
Haar wavelet <1> <2>
Heisenberg uncertainty principle
History
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
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>
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
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>
Objects
Outliers
Packet
See Wavelet Packet
Padding
See Border distortion <1> <2> <3> <4>
Periodized Wavelet Transform
See Border distortion <1> <2> <3> <4>
Positions
Quadrature mirror filters (QMF) <1> <2> <3>
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
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>
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>
Upsampling <1> <2> <3>
Vanishing moments <1> <2> <3> <4>
Variance adaptive thresholding
View Axes
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>
Zoom <1> <2> <3> <4>