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Texture Roughness Analysis and Synthesis via Extended Self-Similar (ESS) Model
November 1995 (vol. 17 no. 11)
pp. 1043-1056

Abstract—The 2D fractional Brownian motion (fBm) model provides a useful tool to model textured surfaces whose roughness is scale-invariant. To represent textures whose roughness is scale-dependent, we generalize the fBm model to the extended self-similar (ESS) model in this research. We present an estimation algorithm to extract the model parameters from real texture data. Furthermore, a new incremental Fourier synthesis algorithm is proposed to generate the 2D realizations of the ESS model. Finally, the estimation and rendering methods are combined to synthesize real textured surfaces.

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Index Terms:
Fractals, fractional Brownian motion, processes with stationary increments, terrain modeling, texture analysis, texture synthesis, random fields, roughness perception.
Lance M. Kaplan, C.-C. Jay Kuo, "Texture Roughness Analysis and Synthesis via Extended Self-Similar (ESS) Model," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 11, pp. 1043-1056, Nov. 1995, doi:10.1109/34.473230
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