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<p><b>Abstract</b>—Locally parallel dense patterns—sometimes called <it>texture flows</it>—define a perceptually coherent structure of particular significance to perceptual organization. We argue that with applications ranging from image segmentation and edge classification to shading analysis and shape interpretation, texture flows deserve attention equal to edge segment grouping and curve completion. This paper develops the notion of texture flow from a geometrical point of view to argue that local measurements of such structures must incorporate two curvatures. We show how basic theoretical considerations lead to a unique model for the local behavior of the flow and to a notion of texture flow “good continuation.” This, in turn, translates to a specification of consistency constraints between nearby flow measurements which we use for the computation of <it>globally</it> (piecewise) coherent structure through the contextual framework of relaxation labeling. We demonstrate the results on synthetic and natural images.</p>
Texture flow, perceptual organization, social conformity of a line, good continuation, texture segmentation, line discontinuities, point singularities, shading flow, local parallelism, orientation diffusion, tangential curvature, normal curvature, relaxation labeling.

S. W. Zucker and O. Ben-Shahar, "The Perceptual Organization of Texture Flow: A Contextual Inference Approach," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 25, no. , pp. 401-417, 2003.
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