Methods for Stochastic Spectral Synthesis

Anum ber of spectral modeling approaches in the engineering and estimation lit.erature are potentially applicable to stochas. ic synthesis in computer graphics. Two specific approaches are developed. The orthogonality principle of estimation theory is used to derive a stochastic subdivision construction with specified autocorrelation and spectrum properties; this approach also provides an alternative theoretical basis for the popular fractal subdivision algorithms. A shaped Poisson point process is a second approach which conver:iently separates the spectral and graphic modeling problems. Synthetic textures and terrains are presented as a means of visually evaluating the constructed noises .