Journal
ASTROPHYSICAL JOURNAL
Volume 717, Issue 2, Pages 995-1005Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0004-637X/717/2/995
Keywords
magnetic fields; methods: data analysis; methods: statistical; Sun: flares; techniques: image processing; turbulence
Categories
Funding
- Ulysses- Ireland- France Exchange Scheme operated by the Royal Irish Academy and the Ministere des Affaires Etrangeres
- Marie Curie International European Fellowship
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The multifractal nature of solar photospheric magnetic structures is studied using the two- dimensional wavelet transform modulus maxima (WTMM) method. This relies on computing partition functions from the wavelet transform skeleton defined by the WTMM method. This skeleton provides an adaptive space- scale partition of the fractal distribution under study, from which one can extract the multifractal singularity spectrum. We describe the implementation of a multiscale image processing segmentation procedure based on the partitioning of the WT skeleton, which allows the disentangling of the information concerning the multifractal properties of active regions from the surrounding quiet- Sun field. The quiet Sun exhibits an average Holder exponent similar to-0.75, with observed multifractal properties due to the supergranular structure. On the other hand, active regionmultifractal spectra exhibit an average Holder exponent similar to 0.38, similar to those found when studying experimental data from turbulent flows.
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