This paper presents a method for indexing and retrieval of multimediadata through texture segmentation, using the Wold decomposition. The texture field is assumed to be a realisation of a regular homogeneous random field. On the basis of a 2-D Wold-like decomposition, the field is represented as the sum of a purely indeterministic component, a harmonic component and a countable number of evanes...

It is obtained a Wold-type decomposition for an adjointable isometry on a Hilbert C∗-module which is sequentially complete with respect to some locally convex topology, denoted by s. Particularly self-dual Hilbert C∗-modules satisfy this condition. Finally, as an application we shall give a new proof of the Wold decomposition theorem for discrete stationary processes in complete correlated acti...

We establish a Wold-type decomposition for isometric and Nica-covariant representations of the odometer semigroup. These generalize commuting pairs isometries due to Popovici doubly Słociński.

Abstract Słociński gave sufficient conditions for commuting isometries to have a nice Wold-like decomposition. In this note, we provide analogous results row satisfying certain commutation relations. Other than known doubly isometries, Wold decomposition based on the Lebesgue of isometries.

The theory of the D Wold decomposition of homogeneous random elds is e ective in im age and video analysis synthesis and model ing However a robust and computationally ef cient decomposition algorithm is needed for use of the theory in practical applications This pa per presents a spectral D Wold decomposition algorithm for homogeneous and near homoge neous random elds The algorithm relies on t...

The theory of the 2-D Wold decomposition of homogeneous random elds is eeective in image and video analysis, synthesis, and model-ing. However, a robust and computationally ef-cient decomposition algorithm is needed for use of the theory in practical applications. This paper presents a spectral 2-D Wold decomposition algorithm for homogeneous and near homogeneous random elds. The algorithm reli...