This is documentation for the empirical wavelet transform package in Python. Empirical wavelets are a generalization of wavelets. A family of empirical wavelets can be formed from the translation, ...

Kymatio is an implementation of the wavelet scattering transform in the Python programming language ... The backend defines functions necessary for computation of the scattering transform. Currently, ...

Wavelets are mathematical functions that can be used to represent signals in a different domain than the time or frequency domain. Wavelets have two main properties: they are localized in both ...

Note, however, that this modification will affect all structures because functions that model the image are infinite and range the whole image. Wavelets get around this restriction because these ...

2. Coiflets and Wavelet Interpolation In the context of wavelet theory, we usually deal with wavelets and scaling functions [4]. The wavelet function is defined by building a sequence upon scaling ...

Wavelet functions are derived for polynomials of different degree from which the velocity can be estimated as the ratio of two of the four components of a two dimensional (2-D) wavelet transform of ...

Abstract: We present a wavelet modelling approach to invert for S-wave velocities from broad-band receiver functions. Taking spline function as the basic wavelet, the broad-band receiver function is ...

We present wavelet bases made of piecewise (low degree) polynomial functions with an (arbitrary) assigned number of vanishing moments. We study some of the properties of these wavelet bases; in ...