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A Test of Stationarity for Textured Images

Summary: [This abstract is based on the authors' abstract.] This article proposes a test of stationarity for random fields on a regular lattice motivated by a problem arising from texture analysis. The authors' approach is founded on the locally stationary two-dimensional wavelet (LS2W) process model for lattice processes that has previously been used for standard texture analysis tasks, such as texture discrimination and classification. The authors propose two variants of their stationarity test, both of which can be performed on a single realization — a feature of particular practical importance within texture analysis. The authors illustrate their 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.

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  • Topics: Statistics
  • Keywords: Bootstrap methods, Textile and needle trades, Surface finish, Stationary process, Image
  • Author: Taylor, Sarah L.; Eckley, Idris A.; Nunes, Matthew A.;
  • Journal: Technometrics