# Wavelets, Their Friends, and What They Can Do for You

@inproceedings{Mohlenkamp2008WaveletsTF, title={Wavelets, Their Friends, and What They Can Do for You}, author={Martin J. Mohlenkamp and Mar{\'i}a Cristina Pereyra}, year={2008} }

These notes were created by Maŕia Cristina Pereyra for the short course Wavelets: Theory and Applications, at the I Panamerican Advanced Studies Institute in Computational Science and Engineering (PASI), Universidad Nacional de Cordoba, Cordoba, Argentina, June 24–July 5, 2002. They were modified and extended by Martin J. Mohlenkamp for the short course Wavelets and Partial Differential Equations, at the II Panamerican Advanced Studies Institute in Computational Science and Engineering…

## 31 Citations

### Adaptive Waveletmethoden zur Approximation von Bildern

- Mathematics
- 2011

This thesis is concerned with adaptive wavelet methods for the approximation of images. First, the Easy-Path-Wavelet-Transform (EPWT) is introduced. The EPWT works as follows. We determine a path…

### Harmonic Analysis : from Fourier to Haar Maŕıa Cristina Pereyra

- Mathematics
- 2009

Contents Introduction xv Chapter 1. Fourier series: some motivation 1 1.1. Some examples and key definitions 1 1.2. Main questions 5 1.3. Fourier series and Fourier coefficients 7 1.4. A little…

### Different Perspectives and Formulas for Capturing Deviation from Ergodicity

- Computer ScienceSIAM J. Appl. Dyn. Syst.
- 2013

This paper describes the development of the Haar ergodicity defect, a technique for assessing the extent to which a given dynamical system falls short of being ergodic, and alternate and recursive formulas for this Haar are given.

### Harmonic Shape Analysis : From Fourier to Wavelets

- Computer Science
- 2013

The theoretical background of the manifold Fourier analysis is explained, focusing on its connection with signal processing and heat diffusion, and a survey of various types of manifold wavelet transform, particularly the spectral manifoldWavelet transform is provided.

### The continuous wavelet transform and window functions

- Mathematics
- 2015

. We deﬁne a window function ψ as an element of L 2 ( R n ) satisfying certain boundedness properties with respect to the L 2 ( R n ) norm and prove that it satisﬁes the admissibility condition if…

### Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets

- Computer Science
- 2013

A superfast discrete Haar wavelet transform (SFHWT) as well as its inverse, using the QTT representation for the Haar transform matrices and input-output vectors is proposed, and it outperforms the traditional FHWT for grid size larger than a certain value depending on the spacial dimension.

### Smoothlets—Multiscale Functions for Adaptive Representation of Images

- Mathematics, Computer ScienceIEEE Transactions on Image Processing
- 2011

From the theoretical considerations and experiments, it follows that smoothlets can assure better image compression than the other known adaptive geometrical methods, namely, wedgelets and second-order wedgelets.

### Evidence for Past Knot Mergers in the HH34 Jet

- Physics
- 2013

alineados. Las posiciones y los movimientos propios de estos nudos pueden ser usados para determinar tiempos dinamicos, y para estimar el per´oodo de eyeccion (tomando diferencias entre los tiempos…

### Comparing field data using Alpert multi-wavelets

- Computer Science, GeologyComputational Mechanics
- 2020

A method to compare sets of full-field data using Alpert tree-wavelet transforms for comparison of field data sets coming from two different sources such as when comparing simulation field data to experimental field data is introduced.

### Texture features for the reproduction of the perceptual organization of sound

- PhysicsArXiv
- 2017

It is concluded that harmonic, impact and continuous process sounds can be largely separated with energy based tonality, pulsality and noisiness.

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