Simulation of binary random fields with Gaussian numerical models

Prigarin Sergei M., Martin Andreas and Winkler Gerhard
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Prigarin Sergei M.: Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, pr. Lavrentieva 6, 630090 Novosibirsk, Russia. E-mail: sergeim.prigarin@gmail.com
Martin Andreas: Institute of Biomathematics and Biometry, HMGU – German Research Center for Environmental Health, Ingolstädter Landstraße 1, 85764 Neuherberg/München, Germany. E-mail: andreas.z.martin@gmx.de
Winkler Gerhard: Institute of Biomathematics and Biometry, HMGU – German Research Center for Environmental Health, Ingolstädter Landstraße 1, 85764 Neuherberg/München, Germany. E-mail: gwinkler@helmholtz-muenchen.de

Monte Carlo Methods and Applications, 2010, vol. 16, issue 2, 129-142

Abstract: We present a method for numerical modeling of binary homogeneous random fields based on thresholds of Gaussian functions. The method enables us to reproduce the average value and correlation function of the observed binary field. The method is comparatively simple, and on several examples we demonstrate that it can be effective for simulation of a wide class of binary random fields.

Keywords: Binary random fields; numerical simulation; Gaussian fields; threshold models; spectral models; binary textures (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1515/mcma.2010.004

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