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Journal articles on the topic 'Gabor multiplier'

Author: Grafiati

Published: 25 May 2024

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1

BALAZS, PETER. "HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 02 (2008): 315–30. http://dx.doi.org/10.1142/s0219691308002379.

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In this paper we deal with the theory of Hilbert–Schmidt operators, when the usual choice of orthonormal basis, on the associated Hilbert spaces, is replaced by frames. We More precisely, we provide a necessary and sufficient condition for an operator to be Hilbert–Schmidt, based on its action on the elements of a frame (i.e. an operator T is [Formula: see text] if and only if the sum of the squared norms of T applied on the elements of the frame is finite). Also, we construct Bessel sequences, frames and Riesz bases of [Formula: see text] operators using tensor products of the same sequences

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2

Gu, Qing, and Deguang Han. "Functional Gabor frame multipliers." Journal of Geometric Analysis 13, no. 3 (2003): 467–78. http://dx.doi.org/10.1007/bf02922054.

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3

Benedetto, John J., and Götz E. Pfander. "Frame expansions for Gabor multipliers." Applied and Computational Harmonic Analysis 20, no. 1 (2006): 26–40. http://dx.doi.org/10.1016/j.acha.2005.03.002.

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4

Feichtinger, H. G., M. Hampejs, and G. Kracher. "Approximation of Matrices by Gabor Multipliers." IEEE Signal Processing Letters 11, no. 11 (2004): 883–86. http://dx.doi.org/10.1109/lsp.2004.833581.

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5

Nazarkevych, Mariya, Yaroslav Voznyi, and Oksana Troyan. "GENERALIZING GABOR FILTERS BASED ON ATEB-FUNCTIONS." Cybersecurity: Education Science Technique, no. 4 (2019): 72–84. http://dx.doi.org/10.28925/2663-4023.2019.4.7284.

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Image filtering attempts to achieve greater resolution. There is a large number of filters that allows you to bring images with clear borders. In addition, noise is present when digitizing images. One of the most common types of filtering is the Gabor filter. It allows you to restore the image with the contour allocation at a certain frequency. Its core looks like elements of the Fourier basis, which is multiplied by Gaussian. The widespread use of Gabor filters for filtration is due to the fact that it gives a strong response at those points of the image where there is a component with local

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6

Cordero, Elena, Karlheinz Gröchenig, and Fabio Nicola. "Approximation of Fourier Integral Operators by Gabor Multipliers." Journal of Fourier Analysis and Applications 18, no. 4 (2012): 661–84. http://dx.doi.org/10.1007/s00041-011-9214-1.

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7

Li, Zhongyan, and Deguang Han. "Functional Matrix Multipliers for Parseval Gabor Multi-frame Generators." Acta Applicandae Mathematicae 160, no. 1 (2018): 53–65. http://dx.doi.org/10.1007/s10440-018-0194-x.

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8

Onchis, Darian M., and Simone Zappalà. "Realizable algorithm for approximating Hilbert–Schmidt operators via Gabor multipliers." Journal of Computational and Applied Mathematics 337 (August 2018): 119–24. http://dx.doi.org/10.1016/j.cam.2018.01.006.

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9

Diao, Yuanan, Deguang Han, and Zhongyan Li. "Gabor single-frame and multi-frame multipliers in any given dimension." Journal of Functional Analysis 280, no. 9 (2021): 108960. http://dx.doi.org/10.1016/j.jfa.2021.108960.

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10

Werther, T., A. Klotz, G. Kracher, et al. "CPR Artifact Removal in Ventricular Fibrillation ECG Signals Using Gabor Multipliers." IEEE Transactions on Biomedical Engineering 56, no. 2 (2009): 320–27. http://dx.doi.org/10.1109/tbme.2008.2003107.

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11

Gröchenig, Karlheinz. "Representation and approximation of pseudodifferential operators by sums of Gabor multipliers." Applicable Analysis 90, no. 3-4 (2011): 385–401. http://dx.doi.org/10.1080/00036811.2010.499507.

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12

Pandey, S. S. "Gabor multipliers for weighted Banach spaces on locally compact abelian groups." Journal of Mathematics of Kyoto University 49, no. 2 (2009): 235–54. http://dx.doi.org/10.1215/kjm/1256219154.

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13

Hamada, T., K. Kato, and M. Yamashima. "A Ring Model for Direction-Selective Simple Cells in the Visual Cortex." Perception 26, no. 1_suppl (1997): 164. http://dx.doi.org/10.1068/v970164.

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Experimental studies have shown that (1) direction-selective simple cells in the visual cortex have spatiotemporally inseparable receptive fields, whose spatial profiles at a given time are described by Gabor functions: a sinusoid multiplied by a Gaussian, with a phase parameter; (2) among simple cells, the phases are distributed not merely at 0 and pi/2 as for sine and cosine Gabor functions, but uniformly between 0 and 2pi (DeAngelis et al, 1993 Journal of Neurophysiology69 1091 – 1117); (3) anatomically, these simple cells receive inputs more from other cortical cells than from the lateral

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14

Dörfler, Monika, and Bruno Torrésani. "Representation of Operators in the Time-Frequency Domain and Generalized Gabor Multipliers." Journal of Fourier Analysis and Applications 16, no. 2 (2009): 261–93. http://dx.doi.org/10.1007/s00041-009-9085-x.

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15

Rachdi, Lakhdar T., and Samia Sghaier. "The windowed Fourier transform and Gabor multipliers associated with the Riemann-Liouvlle transform." Integral Transforms and Special Functions 30, no. 7 (2019): 564–80. http://dx.doi.org/10.1080/10652469.2019.1593408.

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16

BALAZS, PETER, JEAN-PIERRE ANTOINE, and ANNA GRYBOŚ. "WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES." International Journal of Wavelets, Multiresolution and Information Processing 08, no. 01 (2010): 109–32. http://dx.doi.org/10.1142/s0219691310003377.

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Weighted and controlled frames have been introduced recently to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper, we develop systematically these notions, including their mutual relationship. We will show that controlled frames are equivalent to standard frames and so this concept gives a generalized way to check the frame condition, while offering a numerical advantage in the sense of preconditioning. Next, we investigate weighted frames, in particular their relation to controlled frames. We consider the special case of semi-normalized w

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17

Gao, Ruiqi, Jianwen Xie, Siyuan Huang, Yufan Ren, Song-Chun Zhu, and Ying Nian Wu. "Learning V1 Simple Cells with Vector Representation of Local Content and Matrix Representation of Local Motion." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 6 (2022): 6674–84. http://dx.doi.org/10.1609/aaai.v36i6.20622.

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This paper proposes a representational model for image pairs such as consecutive video frames that are related by local pixel displacements, in the hope that the model may shed light on motion perception in primary visual cortex (V1). The model couples the following two components: (1) the vector representations of local contents of images and (2) the matrix representations of local pixel displacements caused by the relative motions between the agent and the objects in the 3D scene. When the image frame undergoes changes due to local pixel displacements, the vectors are multiplied by the matri

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18

Tariq, Umair, Zonghai Hu, Rokham Tariq, Muhammad Shahid Iqbal, and Muhammad Sadiq. "High-Performance Embedded System for Offline Signature Verification Problem Using Machine Learning." Electronics 12, no. 5 (2023): 1243. http://dx.doi.org/10.3390/electronics12051243.

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This paper proposes a high-performance embedded system for offline Urdu handwritten signature verification. Though many signature datasets are publicly available in languages such as English, Latin, Chinese, Persian, Arabic, Hindi, and Bengali, no Urdu handwritten datasets were available in the literature. So, in this work, an Urdu handwritten signature dataset is created. The proposed embedded system is then used to distinguish genuine and forged signatures based on various features, such as length, pattern, and edges. The system consists of five steps: data acquisition, pre-processing, featu

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19

Guo, Gaoshan, Stéphane Operto, Ali Gholami, and Hossein S. Aghamiry. "Time-domain extended-source full-waveform inversion: algorithm and practical workflow." GEOPHYSICS, October 30, 2023, 1–94. http://dx.doi.org/10.1190/geo2023-0055.1.

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Extended-source full-waveform inversion (ES-FWI) first computes wavefields with data-driven source extensions such that the simulated data in inaccurate velocity models match the observed counterpart well enough to prevent cycle skipping. Then, the source extensions are minimized to update the model parameters toward the true medium. This two-step workflow is iterated until both data and sources are matched. It was recently shown that the source extensions are the least-squares solutions of the scattered data fitting problem. As a result, the source extensions are computed by propagating backw

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20

Rachdi, Lakhdar T., and Besma Amri. "Gabor multipliers associated with the Bessel–Kingman hypergroup." Journal of Pseudo-Differential Operators and Applications 12, no. 3 (2021). http://dx.doi.org/10.1007/s11868-021-00415-w.

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21

Skrettingland, Eirik. "Quantum Harmonic Analysis on Lattices and Gabor Multipliers." Journal of Fourier Analysis and Applications 26, no. 3 (2020). http://dx.doi.org/10.1007/s00041-020-09759-1.

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22

Kreme, Marina Ama, Valentin Emiya, Caroline Chaux, and Bruno Torresani. "Time-frequency fading algorithms based on Gabor multipliers." IEEE Journal of Selected Topics in Signal Processing, 2020, 1. http://dx.doi.org/10.1109/jstsp.2020.3045938.

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23

Yang, Ming, and Yun-Zhang Li. "Gabor frame multipliers and Parseval duals on the half real line." International Journal of Wavelets, Multiresolution and Information Processing, January 25, 2024. http://dx.doi.org/10.1142/s0219691324500036.

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24

Rahim, Naheean. "Design of a Modified Gabor Filter with Vedic Multipliers Using Verilog HDL." International Journal of Information and Electronics Engineering 5, no. 5 (2015). http://dx.doi.org/10.7763/ijiee.2015.v5.559.

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25

Knutsen, Helge. "A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers." Applied and Computational Harmonic Analysis, October 2022. http://dx.doi.org/10.1016/j.acha.2022.10.001.

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26

Knutsen, Helge. "A Fractal Uncertainty Principle for the Short-Time Fourier Transform and Gabor Multipliers." SSRN Electronic Journal, 2022. http://dx.doi.org/10.2139/ssrn.4089331.

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27

Obiakara, Maxwell, Peter Etaware, and Kanayo Chukwuka. "Maximum Entropy Niche Modelling to Estimate the Potential Distribution of Phytophthora megakarya (Brasier & M. J. Griffin) in Tropical Regions." European Journal of Ecology 6, no. 2 (2021). http://dx.doi.org/10.17161/eurojecol.v6i2.13802.

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Background: Phytophthora megakarya is an invasive pathogen endemic to Central and West Africa. This species causes the most devastating form of black pod disease. Despite the deleterious impacts of this disease on cocoa production, there is no information on the geographic distribution of P. megakarya. Aim: In this study, we investigated the potential geographic distribution of P. megakarya in cocoa-producing regions of the world using ecological niche modelling. Methods: Occurrence records of P. megakarya in Central and West Africa were compiled from published studies. We selected

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