Multivariate locally stationary 2D wavelet processes with application to colour texture analysis

Taylor, Sarah and Eckley, Idris Arthur and Nunes, Matthew Alan (2017) Multivariate locally stationary 2D wavelet processes with application to colour texture analysis. Statistics and Computing, 27 (4). pp. 1129-1143. ISSN 0960-3174

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Abstract

In this article we propose a novel framework for the modelling of non-stationary multivariate lattice processes. Our approach extends the locally stationary wavelet paradigm into the multivariate two-dimensional setting. As such the framework we develop permits the estimation of a spatially localised spectrum within a channel of interest and, more importantly, a localised cross-covariance which describes the localised coherence between channels. Associated estimation theory is also established which demonstrates that this multivariate spatial framework is properly defined and has suitable convergence properties. We also demonstrate how this model-based approach can be successfully used to classify a range of colour textures provided by an industrial collaborator, yielding superior results when compared against current state-of-the-art statistical image processing methods.

Item Type:
Journal Article
Journal or Publication Title:
Statistics and Computing
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1800/1804
Subjects:
ID Code:
80474
Deposited By:
Deposited On:
15 Aug 2016 14:10
Refereed?:
Yes
Published?:
Published
Last Modified:
07 Apr 2020 04:00