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| Titel |
Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains |
| VerfasserIn |
Qiuming Cheng |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 14, no. 3 ; Nr. 14, no. 3 (2007-06-18), S.293-303 |
| Datensatznummer |
250012202
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| Publikation (Nr.) |
 copernicus.org/npg-14-293-2007.pdf |
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| Zusammenfassung |
| The patterns shown on two-dimensional images (fields) used in geosciences
reflect the end products of geo-processes that occurred on the surface and
in the subsurface of the Earth. Anisotropy of these types of patterns can
provide information useful for interpretation of geo-processes and
identification of features in the mapped area. Quantification of the
anisotropy property is therefore essential for image processing and
interpretation. This paper introduces several techniques newly developed on
the basis of multifractal modeling in space, Fourier frequency, and eigen
domains, respectively. A singularity analysis method implemented in the
space domain can be used to quantify the intensity and anisotropy of local
singularities. The second method, called S-A, characterizes the generalized
scale invariance property of a field in the Fourier frequency domain. The
third method characterizes the field using a power-law model on the basis of
eigenvalues and eigenvectors of the field. The applications of these methods
are demonstrated with a case study of Environment Scan Electric Microscope
(ESEM) microimages for identification of sphalerite (ZnS) ore minerals from
the Jinding Pb/Zn/Ag mineral deposit in Shangjiang District, Yunnan
Province, China. |
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