Characterizing Complexity in Solar Magnetogram Data Using a Wavelet-based Segmentation Method

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...

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Bibliographic Details
Published in:The Astrophysical journal 2010-07, Vol.717 (2), p.995-1005
Main Authors: Kestener, P, Conlon, P. A, Khalil, A, Fennell, L, McAteer, R. T. J, Gallagher, P. T, Arneodo, A
Format: Article
Language:English
Subjects:
Astronomy
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
Biological Physics
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DATA ANALYSIS
Earth, ocean, space
Exact sciences and technology
FLUID FLOW
FUNCTIONS
IMAGE PROCESSING
MAGNETIC FIELDS
MAIN SEQUENCE STARS
PARTITION FUNCTIONS
Physics
PROCESSING
SINGULARITY
STARS
SUN
TURBULENT FLOW
TWO-DIMENSIONAL CALCULATIONS
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Summary: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 Hoelder exponent {approx}-0.75, with observed multifractal properties due to the supergranular structure. On the other hand, active region multifractal spectra exhibit an average Hoelder exponent {approx}0.38, similar to those found when studying experimental data from turbulent flows.
ISSN:0004-637X
1538-4357
DOI:10.1088/0004-637X/717/2/995