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Tight Frames and Dual Frame Pairs

2016
We have already highlighted the frame decomposition, which shows that a frame \(\{f_{k}\}_{k=1}^{\infty }\) for a Hilbert space \(\mathcal{H}\) leads to the decomposition $$\displaystyle\begin{array}{rcl} f =\sum _{ k=1}^{\infty }\langle f,S^{-1}f_{ k}\rangle f_{k},\ \ \forall f \in \mathcal{H};& &{}\end{array}$$ (6.1) here \(S: \mathcal{H ...
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Special tight frames

Vestnik St. Petersburg University: Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetries of tight frames

2018
The angle preserving transformations of \(\mathbb {R}^2\) form the real orthogonal group $${ O}(2) := \{A\in \mathbb {R}^{2\times 2}:A^T A=I\},$$ which can be thought of as the symmetries of the inner product space \({\mathscr {H}}=\mathbb {R}^2\).
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Denoising method for capillary electrophoresis signal via learned tight frame

IET Signal Processing, 2020
Dong Sun, Hua Bao, Qingwei Gao
exaly  

Data-driven tight frame construction and image denoising

Applied and Computational Harmonic Analysis, 2014
Hui Ji, Cai Jian-Feng, Zuowei Shen
exaly  

Vessel Segmentation in Medical Imaging Using a Tight-Frame--Based Algorithm

SIAM Journal on Imaging Sciences, 2013
Fiorella Sgallari   +2 more
exaly  

Compressed sensing image restoration based on data-driven multi-scale tight frame

Journal of Computational and Applied Mathematics, 2017
Xieping Gao
exaly  

Iteratively reweighted algorithm for signals recovery with coherent tight frame

Mathematical Methods in the Applied Sciences, 2018
Kaihao Liang
exaly  

Variational bimodal image fusion with data-driven tight frame

Information Fusion, 2020
Xiaoqun Zhang, Xiaoqun Zhang
exaly  

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