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ISPRS Int. J. Geo-Inf. 2014, 3(2), 817-852; doi:10.3390/ijgi3020817
Article

The Sequential Generation of Gaussian Random Fields for Applications in the Geospatial Sciences

 and *
Received: 8 February 2014; in revised form: 21 May 2014 / Accepted: 26 May 2014 / Published: 16 June 2014
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Abstract: This paper presents practical methods for the sequential generation or simulation of a Gaussian two-dimensional random field. The specific realizations typically correspond to geospatial errors or perturbations over a horizontal plane or grid. The errors are either scalar, such as vertical errors, or multivariate, such as , , and  errors. These realizations enable simulation-based performance assessment and tuning of various geospatial applications. Both homogeneous and non-homogeneous random fields are addressed. The sequential generation is very fast and compared to methods based on Cholesky decomposition of an a priori covariance matrix and Sequential Gaussian Simulation. The multi-grid point covariance matrix is also developed for all the above random fields, essential for the optimal performance of many geospatial applications ingesting data with these types of errors.
Keywords: geospatial; random field; errors; sequential; simulation; covariance matrix; strictly positive definite correlation function geospatial; random field; errors; sequential; simulation; covariance matrix; strictly positive definite correlation function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Dolloff, J.; Doucette, P. The Sequential Generation of Gaussian Random Fields for Applications in the Geospatial Sciences. ISPRS Int. J. Geo-Inf. 2014, 3, 817-852.

AMA Style

Dolloff J, Doucette P. The Sequential Generation of Gaussian Random Fields for Applications in the Geospatial Sciences. ISPRS International Journal of Geo-Information. 2014; 3(2):817-852.

Chicago/Turabian Style

Dolloff, John; Doucette, Peter. 2014. "The Sequential Generation of Gaussian Random Fields for Applications in the Geospatial Sciences." ISPRS Int. J. Geo-Inf. 3, no. 2: 817-852.


ISPRS Int. J. Geo-Inf. EISSN 2220-9964 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert