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- Complex_wavelet_transform abstract "The complex wavelet transform (CWT) is a complex-valued extension to the standard discrete wavelet transform (DWT). 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 shift-invariance in its magnitude. However, a drawback to this transform is that it is exhibits (where is the dimension of the signal being transformed) redundancy compared to a separable (DWT). The use of complex wavelets in image processing was originally set up in 1995 by J.M. Lina and L. Gagnon [1] in the framework of the Daubechies orthogonal filters banks[2]. It was then generalized in 1997 by Prof. Nick Kingsbury of Cambridge University.In the area of computer vision, by exploiting the concept of visual contexts, one can quickly focus on candidate regions, where objects of interest may be found, and then compute additional features through the CWT for those regions only. These additional features, while not necessary for global regions, are useful in accurate detection and recognition of smaller objects. Similarly, the CWT may be applied to detect the activated voxels of cortex and additionally the temporal independent component analysis (tICA) may be utilized to extract the underlying independent sources whose number is determined by Bayesian information criterion [3].".
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- Complex_wavelet_transform subject Category:Wavelets.
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- Complex_wavelet_transform comment "The complex wavelet transform (CWT) is a complex-valued extension to the standard discrete wavelet transform (DWT). 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 shift-invariance in its magnitude.".
- Complex_wavelet_transform label "Complex wavelet transform".
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- Complex_wavelet_transform depiction Wavelets_-_DTCWT.png.
- Complex_wavelet_transform isPrimaryTopicOf Complex_wavelet_transform.