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A test of stationarity for textured images

Taylor, Sarah and Eckley, Idris and Nunes, Matthew (2014) A test of stationarity for textured images. Technometrics, 56 (3). pp. 291-301. ISSN 0040-1706

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Abstract

This article proposes a test of stationarity for random fields on a regular lattice motivated by a problem arising from texture analysis. Our approach is founded on the locally stationary two-dimensional wavelet (LS2W) process model for lattice processes which has previously been used for standard texture analysis tasks such as texture discrimination and classification. We propose two variants of our stationarity test, both of which can be performed on a single realisation – a feature of particular practical importance within texture analysis. We illustrate our approach with pilled fabric data, demonstrating that the test is capable of identifying visually-subtle changes in stationarity. Supplementary material for this article is available online.

Item Type: Article
Journal or Publication Title: Technometrics
Uncontrolled Keywords: bootstrapping ; fabric analysis ; lattice processes ; non-stationarity ; random field
Subjects:
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 66238
Deposited By: ep_importer_pure
Deposited On: 17 Sep 2013 09:02
Refereed?: Yes
Published?: Published
Last Modified: 12 Dec 2017 05:17
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/66238

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