Models of covariance functions of gaussian random fields escaping from isotropy, stationarity and non negativity

Pablo Gregori, Emilio Porcu, Jorge Mateu

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper represents a survey of recent advances in modeling of space or space-time Gaussian Random Fields (GRF), tools of Geostatistics at hand for the understanding of special cases of noise in image analysis. They can be used when stationarity or isotropy are unrealistic assumptions, or even when negative covariance between some couples of locations are evident. We show some strategies in order to escape from these restrictions, on the basis of rich classes of well known stationary or isotropic non negative covariance models, and through suitable operations, like linear combinations, generalized means, or with particular Fourier transforms.

Original languageBritish English
Pages (from-to)75-81
Number of pages7
JournalImage Analysis and Stereology
Volume33
Issue number1
DOIs
StatePublished - 2014

Keywords

  • Anisotropy
  • Covariance model
  • Gaussian random field
  • Non negativity
  • Non stationarity

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