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Tight Frames and Dual Frame Pairs
2016We 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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Vestnik St. Petersburg University: Mathematics, 2009
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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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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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CT Image Reconstruction via Nonlocal Low-Rank Regularization and Data-Driven Tight Frame
Symmetry, 2021Xiuling Yin, Sun Shuli
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Denoising method for capillary electrophoresis signal via learned tight frame
IET Signal Processing, 2020Dong Sun, Hua Bao, Qingwei Gao
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Data-driven tight frame construction and image denoising
Applied and Computational Harmonic Analysis, 2014Hui Ji, Cai Jian-Feng, Zuowei Shen
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Vessel Segmentation in Medical Imaging Using a Tight-Frame--Based Algorithm
SIAM Journal on Imaging Sciences, 2013Fiorella Sgallari +2 more
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Compressed sensing image restoration based on data-driven multi-scale tight frame
Journal of Computational and Applied Mathematics, 2017Xieping Gao
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Iteratively reweighted algorithm for signals recovery with coherent tight frame
Mathematical Methods in the Applied Sciences, 2018Kaihao Liang
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Variational bimodal image fusion with data-driven tight frame
Information Fusion, 2020Xiaoqun Zhang, Xiaoqun Zhang
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