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A nanoscale robotic cleaner. [PDF]
Qin J, Büchner C, Wu X, Hecht B.
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Simulated Mars Gravity Impairs Intestinal Epithelial Barrier Integrity via Selective Modulation of Tight Junction Components. [PDF]
Benvenuti L +11 more
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The native human glomerulus features a slit diaphragm resembling a densely interwoven fishnet. [PDF]
Moser D +11 more
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Industry-Academia Interface: Exploring the growth of Additive Manufacturing as an industry with Laura Del Río Fernández. [PDF]
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Image denoising using a tight frame
IEEE Transactions on Image Processing, 2006We 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.
Ioannis A Kakadiaris +2 more
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The Closure of the Set of Tight Frame Wavelets
Acta Applicandae Mathematicae, 2008The paper deals with the properties of the closure of the set of tight frame wavelets. It is shown that the collection of such wavelets is not dense in \(L^2(\mathbb{R}^n)\). Therefore a necessary and a sufficient conditions are given for a function \(f\in L^2(\mathbb{R}^n)\) to belong to the closure of this set. These are, respectively, fulfilling one
Marcin Bownik, Bownik Marcin
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Tight K-frames and weaving of K-frames
Journal of Pseudo-Differential Operators and Applications, 2021The 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 +3 more
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Finite Normalized Tight Frames
Advances in Computational Mathematics, 2003Given 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 \(n\): \(\|x_n\|=1\).
John J. Benedetto, Matthew Fickus
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Expansion of frames to tight frames
Acta Mathematica Sinica, English Series, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dengfeng, Sun, Wenchang
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