Video summarization is a method to generate succinct version of a video by eliminating the redundant frames. The representation of video summaries using key frames is a simple and effective way to generate video summaries. However, eliciting the frames that effectively characterize a video is a daunting task. A popular way to extract key frames is to compute the frame difference between the con...

Qualitative Process theory provides a formal representation for human-like models of continuous processes. However, qualitative reasoning systems frequently rely on hand-made models which inhibits expansion into new domains. A representation that unifies QP theory with natural language expressions would allow these systems to expand their models by reading and interaction, thus greatly increasi...

Frames are the foundation of the linear operators used in the decomposition and reconstruction of signals, such as the discrete Fourier transform, Gabor, wavelets, and curvelet transforms. The emergence of sparse representation models has shifted of the emphasis in frame theory toward sparse l1-minimization problems. In this paper, we apply frame theory to the sparse representation of signals i...

In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.

Fusion frames are a generalized form of frames in Hilbert spaces. In the present paper we introduce Bessel subfusion sequences and subfusion frames and we investigate the relationship between their operation. Also, the definition of the orthogonal complement of subfusion frames and the definition of the completion of Bessel fusion sequences are provided and several results related with these no...

Pushover analysis is an efficient method for the seismic evaluation of buildings under severe earthquakes. This paper aims to develop and verify pushover methodology reinforced concrete frames. technique depends on a nonlinear representation structure by using SAP2000 software. The properties plastic hinges will be defined generating moment-curvature all frame sections (beams columns). verifica...

Harmonic analysis has been the longest lasting and most powerful tool for dealing with signals and systems which involve both periodic and transient phenomena. Further impact on signal processing was facilitated by what we refer to as representations in combined spaces. These representations, motivated by Gabor’s concept of time-frequency information, cells have evolved in recent years into a r...

Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator on abstract Hilbert spaces. Fusion frames and g-frames generalize frames. Hilbert C*-modules form a wide category between Hilbert spaces and Banach spaces. Hilbert C*-modules are generalizations of Hilbert spaces by allowing the inner product to take values in a C*...

In this current study, Chinese government’s strategic communication efforts were explored in the context of 2019 Hong Kong protests via state-sponsored media tweets. To understand how government conveyed and it is engaged with other stakeholders, tweets examined inductively terms frames stakeholders. Recognizing nature agenda building, message frames, their characteristics relationships around ...

Frames in Hilbert bimodules are a special case of frames in Hilbert C*-modules. The paper considers A-frames and B-frames and their relationship in a Hilbert A-B-imprimitivity bimodule. Also, it is given that every frame in Hilbert spaces or Hilbert C*-modules is a semi-tight frame. A relation between A-frames and K(H_B)-frames is obtained in a Hilbert A-B-imprimitivity bimodule. Moreover, the ...