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Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate
Morteza Mirzaee Azandaryani
doaj   +1 more source

Case Report: Identification of a novel NTRK3-AJUBA fusion co-existing with ETV6-NTRK3 fusion in papillary thyroid carcinoma

open access: yesFrontiers in Oncology, 2023
NTRK fusions are validated oncogenic drivers of various adult and pediatric tumor types, including thyroid cancer, and serve as a therapeutic target. Recently, tropomyosin receptor kinase (TRK) inhibitors, such as entrectinib and larotrectinib, display ...
Qing-Xiang Yu   +6 more
doaj   +1 more source

Filter Bank Fusion Frames [PDF]

open access: yesIEEE Transactions on Signal Processing, 2011
In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly designed, fusion frames can provide redundant encodings of signals which are optimally robust against certain types of
Amina Chebira   +2 more
openaire   +2 more sources

Multiple Frame Point Cloud Object Detection Using Feature Fusion

open access: yes, 2023
Object detection has important applications in the field of autonomous driving. While 2D object detection lacks depth information and suffers from the scale problems of objects, 3D point cloud object detection is a more suitable alternative for ...
Huang, Minyuan
core   +1 more source

Relay fusion frames in Banach spaces

open access: yesOpen Mathematics, 2023
The relay fusion frames have been recently introduced in Hilbert spaces to model sensor relay networks and distributed sensor relay systems, which are deeply connected with compressed sensing.
Hong Guoqing, Li Pengtong
doaj   +1 more source

Tight p -fusion frames

open access: yesApplied 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
openaire   +4 more sources

A note on perturbations of fusion frames [PDF]

open access: yesJournal 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
openaire   +5 more sources

Anisotropic biomimetic trabecular porous three-dimensional-printed Ti-6Al-4V cage for lumbar interbody fusion

open access: yesMaterials & Design, 2023
Lumbar fusion is a popular surgical procedure for the treatment of degenerative lumbar disc disease; however, it may be accompanied by complications, such as cage loosening, subsidence, and non-union.
Lincong Luo   +11 more
doaj   +1 more source

Equichordal Tight Fusion Frames

open access: yesIndian Journal of Pure and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammadpour, Mozhgan   +2 more
openaire   +1 more source

Spatio-temporal interactive fusion based visual object tracking method

open access: yesFrontiers in Physics, 2023
Visual object tracking tasks often struggle with utilizing inter-frame correlation information and handling challenges like local occlusion, deformations, and background interference.
Dandan Huang   +6 more
doaj   +1 more source

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