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Renji endoscopic submucosal dissection video data set for early gastric cancer. [PDF]
Sci DataChen J +11 more
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Emergency Position Recovery Using Forward Kinematics in Robotic Patient Positioning Systems for Radiosurgery. [PDF]
Sensors (Basel)Saadah A +11 more
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Dynamic Coherent Diffractive Imaging with Modulus Enforced Probe and Low Spatial Frequency Constraints. [PDF]
Sensors (Basel)Zhang Y +6 more
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MDAR: A Multiscale Features-Based Network for Remotely Measuring Human Heart Rate Utilizing Dual-Branch Architecture and Alternating Frame Shifts in Facial Videos. [PDF]
Sensors (Basel)Zhang L, Ren J, Zhao S, Wu P.
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Partial Gabor frames and dual frames
International Journal of Wavelets, Multiresolution and Information Processing, 2021The theory of Gabor frames has been extensively investigated. This paper addresses partial Gabor systems. We introduce the concepts of partial Gabor system, frame and dual frame. We present some conditions for a partial Gabor system to be a partial Gabor frame, and using these conditions, we characterize partial dual frames. We also give some examples.
Hui-Fang Jia, Yu Tian, Guo-Liang He
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Journal of Pseudo-Differential Operators and Applications, 2020
The present study deals with the recently introduced concept of P-woven frames. Two frames $$\left\{ \varphi _{i}\right\} _{i\in I}$$ and $$\left\{ \psi _{i}\right\} _{i\in I}$$ for a Hilbert space H are called P-woven, if there exists a nontrivial subset $$\sigma $$ of I such that the family $$\left\{ g_{i}\right\} _{i\in I}$$ represented ...
Mohammad Ali Dehghan +1 more
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The present study deals with the recently introduced concept of P-woven frames. Two frames $$\left\{ \varphi _{i}\right\} _{i\in I}$$ and $$\left\{ \psi _{i}\right\} _{i\in I}$$ for a Hilbert space H are called P-woven, if there exists a nontrivial subset $$\sigma $$ of I such that the family $$\left\{ g_{i}\right\} _{i\in I}$$ represented ...
Mohammad Ali Dehghan +1 more
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Dual Frame and Multiple Frame Surveys
2020Practical issues in the design of a dual frame or multiple frame survey are highly related to the characteristics of the target population and the availability of sampling frames. This chapter focuses on issues with estimation using data from dual or multiple frame surveys.
Mary E. Thompson, Changbao Wu
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Acta Applicandae Mathematicae, 2008
Frames provide unconditional basis-like, but generally nonunique, representations of vectors in a Hilbert space H. The redundancy of frame expansions allows the flexibility of choosing different dual sequences to employ in frame representations. In particular, oblique duals, Type I duals, and Type II duals have been introduced in the literature because
Jae Kun Lim +2 more
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Frames provide unconditional basis-like, but generally nonunique, representations of vectors in a Hilbert space H. The redundancy of frame expansions allows the flexibility of choosing different dual sequences to employ in frame representations. In particular, oblique duals, Type I duals, and Type II duals have been introduced in the literature because
Jae Kun Lim +2 more
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Hilbert–Schmidt frames and their duals
International Journal of Wavelets, Multiresolution and Information Processing, 2021The concept of Hilbert–Schmidt frame (HS-frame) was first introduced by Sadeghi and Arefijamaal in 2012. It is more general than [Formula: see text]-frames, and thus, covers many generalizations of frames. This paper addresses the theory of HS-frames.
Ya-Nan Li, Yun-Zhang Li
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