Texture roughness analysis and synthesis via extended self-similar (ESS) model

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. Fi-nally, the estimation and rendering methods are combined to syn-thesize real textured surfaces. Index Terms-Fractals, fractional Brownian motion, processes with stationary increments, terrain modeling, texture analysis, texture synthesis, random fields, roughness perception. I