The lifting scheme offers a refined approach to implementing the Discrete Wavelet Transform (DWT) by decomposing traditional convolution-based filtering into a succession of simple, in-place ...

In an increasingly data-driven world, mathematical tools known as wavelets have become an indispensable way to analyze and understand information. Many researchers receive their data in the form of ...

Wavelet transform is being widely used in the field of information processing. One-dimension and two-dimension quantum wavelet transforms have been investigated. However, three-dimensional quantum ...

The French mathematician Yves Meyer, a self-described “nomad” who has made deep contributions to the many subfields through which he has roamed over the past half-century, received the 2017 Abel Prize ...

Mathematical transforms can be a great help in understanding signals. Imaging trying to look at a complex waveform and figuring out the frequency components without the Fourier transform. [Artem ...

A French mathematician known for his pioneering work on a theory used for applications ranging from image compression to the detection of gravitational waves from the merging of black holes has earned ...

This paper is concerned with an orthogonal wavelet series regression estimator of an unknown smooth regression function observed with noise on a bounded interval. The method is based on applying ...

A French mathematician known for his pioneering work on a theory used for applications ranging from image compression to the detection of gravitational waves from the merging of black holes has earned ...