Gaussian Random Fields on Undirected Graphs
Gaussian Random Fields on Undirected Graphs
This chapter focuses on state spaces of the continuum studying Gaussian random fields on discrete lattices. Covariances are induced via difference operators and the associated neighborhood structure of the resulting random field is explored. Texture representation and segmentation are studied via the general Gaussian random field structures. For dealing with the partition function determined by the log-determinant of the covariance asymptotics are derived connecting the eigenvalues of the finite covariance fields to the spectrum of the infinite stationary extension.
Keywords: Hammersley Clifford result, Platonic solids, aircraft tracking, bond function, canonical representation, grammatical transformations, local regularity, moving body systems, sentence-language set
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