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Microfluidic platform for automatic quantification of malaria parasite invasion under physiological flow conditions.

Lab Chip
Kals E, Kals M, Introini V, Vodenicharski B, Kotar J, Rayner JC, Cicuta P.   +6 more
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Localized Tight Frames on Spheres

SIAM Journal on Mathematical Analysis, 2006
In this paper we wish to present a new class of tight frames on the sphere. These frames have excellent pointwise localization and approximation properties. These properties are based on pointwise localization of kernels arising in the spectral calculus for certain self-adjoint operators, and on a positive-weight quadrature formula for the sphere that ...
J D Ward, F J Narcowich
exaly   +2 more sources

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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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 \(n\): \(\|x_n\|=1\).
John J. Benedetto, Matthew Fickus
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Expansion of frames to tight frames

Acta Mathematica Sinica, English Series, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dengfeng, Sun, Wenchang
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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 0001, Donald Kouri, David K. Hoffman   +5 more
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Tight Frame Wavelets, their Dimension Functions, MRA Tight Frame Wavelets and Connectivity Properties

Advances in Computational Mathematics, 2003
We study the set of tight frame wavelets, and characterize its various important subsets. For example, we prove that a TFW is an MRA TFW if and only if its dimension function is either zero or one. We also prove that the set of MSF TFW-s is connected.
Maciej Paluszynski, Hrvoje Sikic, Guido Weiss, Shaoliang Xiao   +3 more
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Equal-Norm Tight Frames with Erasures

Advances in Computational Mathematics, 2003
Given a Hilbert space \(H\), a collection \(\{e_i: i \in I \} \subset H\) is called a frame if there exist constants \(A, B>0\) such that for all \(f\in H\): \[ A \| f\| ^2 \leq \sum_{i \in I} | \langle f, e_i \rangle | ^2 \leq B \| f\| ^2. \] When \(A=B\) we say that the frame is tight. When all elements \(e_i\) have the same norm, we say the frame is
Peter G. Casazza, Jelena Kovacevic
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