Wavelet Transforms and their Applications to Turbulence

Marie Farge · Annual Review of Fluid Mechanics · 1992

Summary

Wavelet transforms are recent mathematical techniques, based on group theory and square integrable representations, which allows one to unfold a signal, or a field, into both space and scale, and possibly directions.

Type: article
Published: 1992-01-01
Cited by: 3,088
References: 129
Access: Open access
DOI: https://doi.org/10.1146/annurev.fl.24.010192.002143
OpenAlex: https://openalex.org/W2063615912
Semantic Scholar: https://api.semanticscholar.org/CorpusID:14101226

Keywords

Turbulence, Wavelet, Computer science, Wavelet transform, Artificial intelligence

References

Introduction to the special issue on wavelet transforms and multiresolution signal analysisIngrid Daubechies, Stéphane Mallat, Alan S. Willsky — 1992
Time-frequency representations : wavelet packets and optimal decompositionBruno Torrésani — 1992
Advective flows in a plane rotating layer of a conducting fluidS. N. Aristov, П. Г. Фрик — 1988
Compactly supported wavelets and the numerical solution of Burgers' equationAndrew Latto, Eric Tenenbaum — 1990
Intermediate spaces and interpolation, the complex methodA. Calderón — 1964
EXPERIMENTAL CHARACTERISATION OF STEADY 2-D VORTEX COUPLESJ. Duc, J. Sommeria — 1988
Analyse multiresolution par ondelettes non orthogonales et bancs de filtres numeriquesJean-Christophe Feauveau — 1990
Time-frequency and time-scale (signal processing)Patrick Flandrin — 1988
Wavelets and their ApplicationsMary Beth Ruskai — 1992
A First Course in TurbulenceHenk Tennekes, John L. Lumley — 1972
Image analysis with 2D wavelet transform: Detection of position, orientation and visual contrast of simple objectsJean-Pierre Antoine, Romain Murenzi, Bernard Piette — 1991
The wavelet transform : some applications to fluid dynamics and turbulenceJacques Liandrat, F. Moret-Bailly — 1990
Continuous wavelet analysis of coherent structuresM. Farge, Yann Guezennec, Chih‐Ming Ho — 1990
Multiscale system theoryAlbert Benveniste, Ramine Nikoukhah, Alan S. Willsky — 1990
In search of a general picture processing operatorGoesta H. Granlund — 1978
Dual spectra and mixed energy cascade of turbulence in the wavelet representation.Charles Meneveau — 1991
A block spin construction of ondelettes. Part I: Lemarié functionsGuy Battle — 1987
Large-scale turbulence in Rayleigh-Bénard convectionS. N. Aristov, П. Г. Фрик — 1989
Computing Three-Dimensional Incompressible Flows with Vortex ElementsAnthony C. Leonard — 1985
Wavelet Analysis of Coherent Structures in Two-Dimensional Turbulent FlowsMarie Farge — 1991

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Wavelet Transforms and their Applications to Turbulence

Summary

Keywords

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