A Measure for Spatial Dependence in Natural Stochastic Textures (TA-P4)

Author(s) : Roberto Costantini (Ecole Polytechnique Federale de Lausanne, Switzerland) Gloria Menegaz (University of Siena, Italy) Sabine Susstrunk (Ecole Polytechnique Federale de Lausanne, Switzerland)

Abstract : Random textures differ from natural textures because they lack of structure. Structure is a concept that is difficult to formalize, however we generally observe that it is associated to spatial dependency between adjacent pixels. Random textures, in fact, are characterized by independent pixels, while natural textures show some local dependency. In this paper we propose a measure for this local dependency. We find the minimal distance between pixels that ensures spatial independence. We assume that this distance can be used to help modeling textures, to set the size of operating windows in many texture synthesis algorithms, and to compute a simple indicator of texture scale.

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