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LIF-VSR: A Lightweight Framework for Video Super-Resolution with Implicit Alignment and Attentional Fusion. [PDF]

Sensors (Basel)
Zhang S, Zhang H, Wang X, Song K, Han Z, Zhang Z, Cheng W.   +6 more
europepmc   +1 more source

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Image denoising using a tight frame

IEEE Transactions on Image Processing, 2006
We present a general mathematical theory for lifting frames that allows us to modify existing filters to construct new ones that form Parseval frames. We apply our theory to design nonseparable Parseval frames from separable (tensor) products of a piecewise linear spline tight frame.
Lixin, Shen, Manos, Papadakis, Ioannis A, Kakadiaris, Ioannis, Konstantinidis, Donald, Kouri, David, Hoffman   +5 more
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Maltsev equal-norm tight frames

Izvestiya: Mathematics, 2022
A frame in $\mathbb{R}^d$ is a set of $n\geqslant d$ vectors whose linear span coincides with $\mathbb{R}^d$. A frame is said to be equal-norm if the norms of all its vectors are equal. Tight frames enable one to represent vectors in $\mathbb{R}^d$ in the form closest to the representation in an orthonormal basis.
Sergey Yakovlevich Novikov, Victoria Vladimirovna Sevost'yanova   +1 more
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Finite Normalized Tight Frames

Advances in Computational Mathematics, 2003
Given a Hilbert space \(H\), a sequence \(\{x_n\}\subset H\) is a frame if there exist constants \(0 < A \leq B < \infty\) such that for all \(y\in H\): \(A\|y\|^2 \leq \sum_n |\langle y, x_n \rangle|^2 \leq B \|y\|^2\). A frame is tight if \(A=B\), and a tight frame is normalized if for all \(n\): \(\|x_n\|=1\).
Benedetto, John J., Fickus, Matthew
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Tight K-frames and weaving of K-frames

Journal of Pseudo-Differential Operators and Applications, 2021
The authors provide a sufficient condition for a given Bessel sequence to be a \(K\) frame in a Hilbert space. They also characterize the weaving of \(K\) frames in Hilbert spaces. They provide several sufficient conditions on a \(K\) frame under the action of a bounded surjective operator on the Hilbert space to be \(K\) woven or woven.
Xiangchun Xiao, Kai Yan, Guoping Zhao, Yucan Zhu   +3 more
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Equiangular tight frames

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malozemov, V. N., Pevnyi, A. B.
openaire   +1 more source