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Relay fusion frames for Hilbert spaces
Journal of Inequalities and Applications, 2019 A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals over long distances or need to expand the ...
Guoqing Hong, Pengtong Li
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3D Object Detection Using Multiple-Frame Proposal Features Fusion
Sensors, 2023 Object detection is important in many applications, such as autonomous driving. While 2D images lack depth information and are sensitive to environmental conditions, 3D point clouds can provide accurate depth information and a more descriptive ...
Minyuan Huang, Henry Leung, Ming Hou
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Video Super-Resolution Network with Gated High-Low Resolution Frames
Applied Sciences, 2023 In scenes with large inter-frame motion variations, distant targets, and blurred targets, the lack of inter-frame alignment can greatly affect the effectiveness of subsequent video super-resolution reconstruction.
Ning Ouyang, Zhishan Ou, Leping Lin
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Applied and Computational Harmonic Analysis, 2013 Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the classical notions of designs and cubature formulas in Grassmann spaces and are analyzed with methods from harmonic ...
Bachoc, Christine, Ehler, Martin
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A note on perturbations of fusion frames [PDF]
Journal of Mathematical Analysis and Applications, 2018 In this work, we consider some relationships between a closed range operator $T$ and a fusion frame $\mathcal{W}=(W_i,w_i)_{i\in I}$ for a Hilbert space $\mathcal{H}$ that provides that the sequence $(\overline{T(W_i)},v_i)_{i\in I}$ is a fusion frame sequence for $\mathcal{H}$, if we consider a suitable family of weights $\{v_i\}_{i\in I}$.
Calderón, Pablo Luis +1 more
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IEEE Access, 2021 Real-time three-dimensional reconstruction is increasingly important in many fields. There are mainly two ways to improve real-time performance: increasing hardware rate and reducing captured frames count.
Xuexing Li, Wenhui Zhang
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Equichordal Tight Fusion Frames
Indian Journal of Pure and Applied Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammadpour, Mozhgan +2 more
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Compare and contrast between duals of fusion and discrete frames [PDF]
Sahand Communications in Mathematical Analysis, 2017 Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated.
Elnaz Osgooei, Ali akbar Arefijammal
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On the relation of the frame-related operators of fusion frame systems
Sampling Theory, Signal Processing, and Data Analysis, 2023 AbstractFrames have been investigated frequently over the last few decades due to their valuable properties, which are desirable for various applications as well as interesting for theory. Some applications additionally require distributed processing techniques, which naturally leads to the concept of fusion frames and fusion frame systems.
Lukas Köhldorfer, Peter Balazs
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Controlled K−g−Fusion Frames in Hilbert C∗−Modules
International Journal of Analysis and Applications, 2022 Controlled frames have been the subject of interest because of its ability to improve the numerical efficiency of iterative algorithms for inverting the frame operator.
Mohamed Rossafi, Fakhr-dine Nhari
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