Eigen-Space Modeling for Anisotropic Multifractality Characterization From 2-D Mineralization-Associated Geochemical Patterns

Details Eigen-Space Modeling for Anisotropic Multifractality Characterization From 2-D Mineralization-Associated Geochemical Patterns Eigen-Space Modeling for Anisotropic Multifractality Characterization From 2-D Mineralization-Associated Geochemical Patterns

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmng33b..06c&link_type=abstract

American Geophysical Union, Fall Meeting 2004, abstract #NG33B-06

Computer Science

Information Retrieval

3210 Modeling, 3250 Fractals And Multifractals

Scientific paper

Two-dimensional map patterns commonly observed in geoscieces such as distribution of geochemical concentration values of elements in various surface media, spatial distribution of mineral deposits in a mineral district, and most remotely sensed images can often be considered as end products of multiplicative cascade processes. Modeling the anisotropic scaling property and heterogeneity of these types of patterns are essential for information retrieval in characterizing the underlying processes. The paper introduces a new method to characterize the multifractality of 2-D map from its Eigenvalues and Eigenvectors derived at multiple scales. First, it calculates all Eigenvalues and Eigenvectors from a given map, treated as an asymmetrical matrix at multiple map resolutions, and then multifractal distributions of these values are explored using number-frequency as well as value-frequency models. The links between these distributions and anisotropic property of the map patterns are discussed. Potential application of this method has been demonstrated using 2-D maps created from As, Cu, Pb, and Ag geochemical values analyzed from lake sediments and U, Th, and K gamma ray spectrometer data from southwestern Nova Scotia, Canada.
http://www.lemr.cug.edu.cn

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