a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...

Lower and upper bounds on the size of a covering of subspaces in the Grassmann graph Gq(n, r) by subspaces from the Grassmann graph Gq(n, k), k ≥ r , are discussed. The problem is of interest from four points of view: coding theory, combinatorial designs, q-analogs, and projective geometry. In particular we examine coverings based on lifted maximum rank distance codes, combined with spreads and...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

We derive an explicit lower bound on the capacity of the discrete amplitude–constrained Gaussian channel by proving the existence of tight frames that permit redundant vector representations with small coefficients. Our method encodes the information in subspaces that are optimal in terms of the power to amplitude ratio. In a recent paper, Lyubarskii and Vershynin discuss how the work of Kashin...

Let X be a hypergroup. In this paper, we study the homomorphisms on certain subspaces of L(X)* which are weak*-weak* continuous.

In this paper we study the properties of multiplication invariant (MI) operators acting on subspaces vector-valued space L2(X;H). We characterize such in terms range functions by showing that there is an isomorphism between category MI spaces (with as morphisms) and measurable whose morphisms are operators. investigate how global operator reflected local pointwise its corresponding operator. al...

In this paper, we investigate the contribution of dynamic evolution of 3D faces to identity recognition. To this end, we adopt a subspace representation of the flow of curvature-maps computed on 3D facial frames of a sequence, after normalizing their pose. Such representation allows us to embody the shape as well as its temporal evolution within the same subspace representation. Dictionary lear...

In this paper a framework for the segmentation of cardiac MR image sequences using spatio-temporal appearance models is presented. The method splits the 4D space into 2 separate subspaces, one for changes in appearance and one subspace for changes in motion. Using the 4D appearance models in combination with a level set framework combines the robustness of model based segmentation with the flex...

This paper describes the use of wavelet entropy as a feature extractor for robust classification of cracks in sewer pipe structures. Video image data was acquired using an infrared camera in an experimental sewer pipe setup. Video frames were partitioned into 64 ∗ 64 pixel sections. 1,885 ’crack’ and 1,675 ’clean’ (non-crack) sections were manually classified. Each section was transformed to a ...

This paper proposes a method to classify automatically TV sports news articles using image processing and classification techniques. The classification algorithm of TV sports news articles is based on a multiple subspace method that provides a sports category with more than one subspaces corresponding to the typical scenes. The classification is performed without recognizing any objects in an i...