3-D texture model based on the wold decomposition

Abstract

This paper deals with the parametric modelling of three-dimensional (3-D) stochastic processes. Based on the 3-D Wold-like decomposition theory, any 3-D discrete homogeneous process can be represented as a sum of three mutually orthogonal components: a completely non deterministic, a “remote past” type deterministic and an evanescent component. The evanescent component can be further decomposed into two orthogonally components called evanescent of type 1 and evanescent of type 2. The aim of this paper is to propose a new parametric models able to describe both the spectral support and spatial structure of each component.