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Abstract
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| hrough ¿3D wavelet analysis of the entire volume (instead of processing each sub-volume separately), new results and physical interpretations could be derived but first, there is a need for establishing a wavelet-based methodology dealing with the increase of complexity resulting from two to three dimensions). To build wavelets in higher dimension we first use tensor products of one-dimensional constructions resulting in separable filters which give preferential treatment to the coordinate axis. Although the construction of such a wavelet is conceptually simple, the methodology applied in order to compute multifractal parameters is fully revised and presented along with some insights into the interpretation of the derived results. The separable approach only allows for rectangular divisions of the frequency spectrum. Often, other symmetry axes than the coordinate ones and nonrectangular divisions of the frequency spectrum offer better results. The construction of wavelets over these other support or lattices as known in multidimensional signal processing, relies on the lifting scheme [3]. The extension of our methodology to this second generation wavelets provides other advantages which are preliminary explored in our work Both methodologies are illustrated | |
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International
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Si |
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Congress
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EGU 2009 |
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960 |
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Place
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Viena, Austria |
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Reviewers
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Si |
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ISBN/ISSN
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978-3-642-02266-1 |
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Start Date
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19/04/2009 |
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End Date
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23/04/2009 |
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From page
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15 |
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To page
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15 |
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Geophysical Research Abstracts |