The majority of work on texture analysis in computer vision has concerned texture classification and segmentation, while the problem of measuring and modelling the visual similarity between pairs of textures has been relatively neglected. One likely reason for this is the difficulty in collecting subjective human similarity judgments over a large database of textures. A common approach is to carry out a free-sorting experiment to obtain a similarity matrix which can then be mapped onto a low dimensional space using techniques such as MDS or Isomap. This results in a Euclidean space in which textures are represented as points, and the distance between two points is taken to represent the perceptual visual dissimilarity between the associated pair of textures. However, it is unknown if such a metric can generalise to predict human texture judgements in other tasks, or even if similarity judgements are metric at all. In this study we investigate this question by carrying out an experiment using a pair-of-pairs paradigm and compare these results to the predictions made by a low dimensional model (d = 3) obtained from a free-sorting experiment and find that it agrees with the judgements made by participants. This record was migrated from the OpenDepot repository service in June, 2017 before shutting down., {"references":["[1] M. Amadasun and R. King. Textural features corresponding to textural properties. IEEE Transactions on Systems, Man and Cybernetics, 19:1264–1274, 1989.\n[2] F. Gregory Ashby, Sarah Queller, and Patrica M. Berretty. On the dominance of unidimensional rules in unsupervised categorization. Perception & Psychophysics, 61:1178–1199, 1999.\n[3] Tammo H. A. Bijmolt and Michel Wedel. The effects of alternative methods of collecting similarity data for multidimensional scaling. International Journal of Research in Marketing, 12:363–371, 1995.\n[4] A. D. F. Clarke, F. Halley, A. Newell, L. D. Griffin, and M. J. Chantler. Perceptual similarity: a new texture challenge. In BMVC2011, 2011.\n[5] C. Heaps and S. Handel. Similarity and features of natural textures. Journal of Experimental Psycholog.: Human Perception and Performance, 25:299–320, 1999.\n[6] H. Long and W. K. Leow. Perceptual texture space improves perceptual consistency of computational features. In IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence, 2001.\n[7] A. R. Rao and G. L. Lohse. Identifying high level features of texture perception. CVGIP: Graph. Models Image Process., 55:218–233, May 1993.\n[8] Vithala R. Rao and Ralph Katz. Alternative multidimensional scaling methods for large stimulus sets. Journal of Marketing Research, VIII:488–494, 1971.\n[9] R. N. Shepard. Analysis of proximities: Multidimensional scaling with an unknown distance function. i. Psychometrika, 27:125–140, 1962.\n[10] H. Tamura, S. Mori, and T. Yamawaki. Textural features corresponding to visual perception. IEEE Transactions on Systems, Man and Cybernetics, 8:460–473, 1978.\n[11] J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality\nreduction. Science, 290:2319–2323, 2000."]}