Abstract
A new method for the generation of natural textures is presented. Using a priori-given second-order statistics (second-order spatial averages or autocorrelation parameters) of a natural texture field as input, a procedure is given to synthesize an artificial texture field in such a way that its second-order statistics are equal to the desired ones. The synthesis is achieved directly without inventing higher order statistics, as was in earlier publications. This method allows us to synthesize gray tone texture fields while “controlling” their second-order statistics in rather large neighborhoods. The synthesized textures are very similar visually to the original natural textures used to compute the second-order statistics, but second-order spatial averages give better results than autocorrelation parameters. This seems to strongly support the conjecture that the visual system is only sensitive to the second-order spatial averages of a given texture field, so that these statistics should be used to model textures.
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