Characterization of self-similar multifractals with wavelet maxima

DOI10.1006/acha.1994.1018zbMath0812.28005OpenAlexW2094980521MaRDI QIDQ1340695

Wen-Liang Hwang, Stephane Mallat

Publication date: 6 April 1995

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.1994.1018

zbMATH Keywords

wavelet transformCantor measuresnumerical applicationsdiffusion limited aggregatesdyadic multifractalsself-similar multifractalswavelet maxima

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Brownian motion (60J65) Fractals (28A80) Numerical methods in Fourier analysis (65T99)

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Wavelet analysis of a quasiperiodic tiling with fivefold symmetry. ⋮ Uncovering a multiplicative process in one-dimensional cuts of diffusion-limited aggregates ⋮ Unnamed Item ⋮ Single-scale wavelet representation of turbulence dynamics: formulation and Navier-Stokes regularity ⋮ Self-similarity index estimation via wavelets for locally self-similar processes ⋮ FIELD RECONSTRUCTION FROM SINGLE SCALE CONTINUOUS WAVELET COEFFICIENTS ⋮ Identification of Chaos-Periodic Transitions, Band Merging, and Internal Crisis Using Wavelet-DFA Method ⋮ Estimations of Hölder regularities and direction of singularity by Hart Smith and curvelet transforms ⋮ Generalized self-similarity ⋮ Thresholding Wavelet Networks for Signal Classification ⋮ Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns

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