Abstract
Local singularity analysis (LSA) is an information extraction technology based on non-linear theory. It has been widely used to treat geoscience data. The key decision of LSA is definition of window, including minimum and maximum window and increment of iterative window size. At present a common solution for choice of window is first to determine a maximum window size by trial and error using global considerations with the minimum window as 1 grid grid unit, and step size of the window side as 2 grids. In this paper, equal-area-growing concentric circles are used for calculating local singularities for mapping granites in Inner Mongolia. By the use of this method, all grids in one group are at the same distance from the current one being processed. This avoids exponential increase of the number of grids with increasing windows size; besides, inspired by the spatial Ustatistic for LSA, a simple integration method is used here to construct a multi-scale singularity map.
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Acknowledgments
This research has benefited from financial support of the Program of Integrated Prediction of Mineral Resources in Covered Areas (Nos. 1212011085468) in China, and Laboratory Open Fund of China University of Geosciences.
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Zhang, D., Cheng, Q., Agterberg, F. (2014). An Application of Equal-Area-Growing Window for Calculating Local Singularity for Mapping Granites in Inner Mongolia. In: Pardo-Igúzquiza, E., Guardiola-Albert, C., Heredia, J., Moreno-Merino, L., Durán, J., Vargas-Guzmán, J. (eds) Mathematics of Planet Earth. Lecture Notes in Earth System Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32408-6_18
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DOI: https://doi.org/10.1007/978-3-642-32408-6_18
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