Wavelet transform modulus maxima method: Difference between revisions

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m Capitalising short description "method for detecting a signal's fractal dimension" per WP:SDFORMAT (via Bandersnatch)
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m History: Statement regarding original work by Mallat and Hwang from 1992 is disputed given the existence of a prior work by Muzy et al from 1991.
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The WTMM was developed out of the larger field of continuous wavelet transforms, which arose in the 1980s, and its contemporary fractal dimension methods.
 
At its essence, it is a combination of fractal dimension "[[box counting"]] methods and continuous wavelet transforms, where wavelets at various scales are used instead of boxes.
 
WTMM was originally developed by Mallat and Hwang in 1992 and used for image processing. [http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=119727&isnumber=3425]. {{Disputed|Original work by Muzy, Bacry, and Arneodo [http://prl.aps.org/abstract/PRL/v67/i25/p3515_1] pre-dates Mallat's and Hwang's|Date=January 2023}}
 
Bacry, Muzy, and Arneodo were early users of this methodology. [http://prl.aps.org/abstract/PRL/v67/i25/p3515_1][http://pre.aps.org/abstract/PRE/v47/i2/p875_1] It has subsequently been used in fields related to signal processing.