List of wavelet-related transforms
Encyclopedia
A list of wavelet
related transforms:
Wavelet
A wavelet is a wave-like oscillation with an amplitude that starts out at zero, increases, and then decreases back to zero. It can typically be visualized as a "brief oscillation" like one might see recorded by a seismograph or heart monitor. Generally, wavelets are purposefully crafted to have...
related transforms:
- Continuous wavelet transformContinuous wavelet transformA continuous wavelet transform is used to divide a continuous-time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability to construct a time-frequency representation of a signal that offers very good time and frequency localization...
(CWT) - Multiresolution analysisMultiresolution analysisA multiresolution analysis or multiscale approximation is the design method of most of the practically relevant discrete wavelet transforms and the justification for the algorithm of the fast wavelet transform...
(MRA) - Discrete wavelet transformDiscrete wavelet transformIn numerical analysis and functional analysis, a discrete wavelet transform is any wavelet transform for which the wavelets are discretely sampled...
(DWT) - Fast wavelet transformFast wavelet transformThe Fast Wavelet Transform is a mathematical algorithm designed to turn a waveform or signal in the time domain into a sequence of coefficients based on an orthogonal basis of small finite waves, or wavelets...
(FWT) - Complex wavelet transformComplex wavelet transformThe complex wavelet transform is a complex-valued extension to the standard discrete wavelet transform . It is a two-dimensional wavelet transform which provides multiresolution, sparse representation, and useful characterization of the structure of an image. Further, it purveys a high degree of...
- Non or undecimated wavelet transform, the downsampling is omitted
- Newland transform, an orthonormal basis of wavelets is formed from appropriately constructed top-hat filters in frequency space
- Wavelet packet decompositionWavelet packet decompositionWavelet packet decomposition is a wavelet transform where the signal is passed through more filters than the discrete wavelet transform ....
(WPD), detail coefficients are decomposed and a variable tree can be formed - Stationary wavelet transform, no downsampling and the filters at each level are different
- e-decimated discrete wavelet transform, depends on if the even or odd coefficients are selected in the downsampling
- Second generation wavelet transformSecond generation wavelet transformIn signal processing, the second generation wavelet transform is a wavelet transform where the filters are not designed explicitly, but the transform consists of the application of the Lifting scheme....
(SGWT), filters and wavelets are not created in the frequency domain - Dual-tree complex wavelet transform (DTCWT), two trees are used for decomposion to produce the real and complex coefficients
- WITS: Where Is The Starlet, a collection of wavelet names in -let and associated multiscale transforms, from activelets to x-lets through bandlets, contourletContourletContourlets form a multiresolution directional tight frame designed to efficiently approximate images made of smooth regions separated by smooth boundaries...
s, curveletCurveletCurvelets are a non-adaptive technique for multi-scale object representation. Being an extension of the wavelet concept, they are becoming popular in similar fields, namely in image processing and scientific computing....
s, noiseletNoiseletThe term noiselet refers to a family of functions which are related to wavelets, analogously to the way that the Fourier basis is related to a time domain signal...
s, wedgelets ...