Fabric pattern modeling by Fractional Lévy Stable Motion

Recently, stable processes have turned out to be good models for many non-Gaussian textures which have impulsive nature. These impulsive natural textures have been proved to have heavy tailed distributions and long rang dependent (LRD) structures. In this paper, the fractional Levy stable motion (FLSM) is introduced to model textile pattern draft. The synthesis approach employing random midpoint displacement (RMD) is presented to generate an isotropic speckle texture. Then, the structure filter is introduced in transforming such isotropic field to an anisotropic texture. As a perfect combination of art and science, this work will contribute to the CAAD (computer aid art design) in textile field.