Multifractal analysis and modeling of one- and two-dimensional data with discrete wavelet transforms, isotropic or not

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The authors compare several ways of uncovering multifractal properties of data in 1D and 2D using wavelet transforms. The WTMM or (Continuous) Wavelet Transform Maximum Modulus method has been extensively documented and widely applied by Dr. Alain Arneodo`s (Bordeaux) group, to the point where their successes have overshadowed simpler techniques that use the Discrete WT. What the latter lack in robustness is gained in efficiency, thus enabling virtually real-time multifractal analysis of data as it is collected. Another advantage of DWT-based approaches is that tensor products of dyadic and triadic branching schemes enable a straightforward attack on strong anisotropy in ... continued below

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7 p.

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Davis, A. B. December 1998.

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  • Los Alamos National Laboratory
    Publisher Info: Los Alamos National Lab., Space and Remote Sensing Group, NM (United States)
    Place of Publication: New Mexico

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Description

The authors compare several ways of uncovering multifractal properties of data in 1D and 2D using wavelet transforms. The WTMM or (Continuous) Wavelet Transform Maximum Modulus method has been extensively documented and widely applied by Dr. Alain Arneodo`s (Bordeaux) group, to the point where their successes have overshadowed simpler techniques that use the Discrete WT. What the latter lack in robustness is gained in efficiency, thus enabling virtually real-time multifractal analysis of data as it is collected. Another advantage of DWT-based approaches is that tensor products of dyadic and triadic branching schemes enable a straightforward attack on strong anisotropy in natural and artificial 2D random fields.

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7 p.

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OSTI as DE99000655

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  • International wavelet conference Tangier 98, Tangier (Morocco), 13 Apr 1998

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  • Other: DE99000655
  • Report No.: LA-UR--98-1522
  • Report No.: CONF-980434--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 296766
  • Archival Resource Key: ark:/67531/metadc682983

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  • December 1998

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  • July 25, 2015, 2:20 a.m.

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  • Feb. 25, 2016, 4:33 p.m.

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Davis, A. B. Multifractal analysis and modeling of one- and two-dimensional data with discrete wavelet transforms, isotropic or not, article, December 1998; New Mexico. (digital.library.unt.edu/ark:/67531/metadc682983/: accessed October 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.