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Academic literature on the topic 'Gabor multiplier'

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Published: 25 May 2024

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Journal articles on the topic "Gabor multiplier"

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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 (March 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 in the associated Hilbert spaces. We state how the [Formula: see text] inner product of an arbitrary operator and a rank one operator can be calculated in an efficient way; and we use this result to provide a numerically efficient algorithm to find the best approximation, in the Hilbert–Schmidt sense, of an arbitrary matrix, by a so-called frame multiplier (i.e. an operator which act diagonally on the frame analysis coefficients). Finally, we give some simple examples using Gabor and wavelet frames, introducing in this way wavelet multipliers.
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Gu, Qing, and Deguang Han. "Functional Gabor frame multipliers." Journal of Geometric Analysis 13, no. 3 (September 2003): 467–78. http://dx.doi.org/10.1007/bf02922054.

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

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

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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 features of frequency in space and orientation. It is proposed to use the Ateb-Gabor filter, which greatly expands the well-known Gabor filter. The Ateb-Gabor filter combines all the properties of a harmonic function, which is multiplied by Gaussian. As a harmonic function, it is proposed to use the Ateb-functions that greatly extend the trigonometric effect. The developed filter is applied to the images. The Ateb-Gabor filter depends on the frequency and directions of the quasiperiodic structure of the image. Usually, to simplify the task, the average image frequency is calculated. It is unchanged at every point. Filtration of images is based on the generalized Ateb-Gabor filter. Influence of filtering parameters on images is investigated. The properties of periodic Ateb-functions are investigated. The value of the period from which the filtering results depend on is calculated. Ateb-Gabor filtering allowed for wider results than the classic Gabor filter. The one-dimensional Gabor filter based on the Ateb-functions gives the possibility to obtain more lenient or more convex forms of function at the maximum described in this study. In this way, filtration with a large spectrum of curves can be realized. This provides quick identification, since a more versatile kind of filtering has been developed.
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Cordero, Elena, Karlheinz Gröchenig, and Fabio Nicola. "Approximation of Fourier Integral Operators by Gabor Multipliers." Journal of Fourier Analysis and Applications 18, no. 4 (January 4, 2012): 661–84. http://dx.doi.org/10.1007/s00041-011-9214-1.

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Li, Zhongyan, and Deguang Han. "Functional Matrix Multipliers for Parseval Gabor Multi-frame Generators." Acta Applicandae Mathematicae 160, no. 1 (June 28, 2018): 53–65. http://dx.doi.org/10.1007/s10440-018-0194-x.

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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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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 (May 2021): 108960. http://dx.doi.org/10.1016/j.jfa.2021.108960.

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

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Dissertations / Theses on the topic "Gabor multiplier"

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Krémé, Ama Marina. "Modification locale et consistance globale dans le plan temps-fréquence." Electronic Thesis or Diss., Aix-Marseille, 2021. http://www.theses.fr/2021AIXM0340.

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Aujourd'hui, il est devenu facile de retoucher des images, par exemple de flouter une région, ou de la modifier pour faire disparaître ou apparaître un objet, une personne, etc. La retouche d'images fait partie des outils de base de la plupart des logiciels d'édition d'images. Dans le cadre des signaux audio, il est souvent plus naturel d'effectuer de telles retouches dans un domaine transformé, en particulier le domaine temps-fréquence. Là encore, c'est une pratique assez courante, mais qui ne repose pas nécessairement sur des arguments théoriques solides. Des cas d'applications incluent la restauration de régions du plan temps-fréquence où une information a été perdue (par exemple l'information de phase), la reconstruction d'un signal dégradé par une perturbation additive bien localisée dans le plan temps-fréquence, ou encore la séparation de signaux localisés dans différentes régions du plan temps-fréquence. Dans cette thèse, nous proposons et développons des méthodes théoriques et algorithmiques pour résoudre ce type de problème. Nous les abordons dans un premier temps comme un problème de reconstruction de données manquantes dans lequel il manque certaines phases des coefficients temps-fréquence. Nous formulons mathématiquement le problème, puis nous proposons trois méthodes pour le résoudre. Dans un second temps, nous proposons une approche qui consiste à atténuer une source de dégradation avec l'hypothèse que celle-ci est bien localisée dans une région spécifique du plan temps-fréquence. Nous obtenons la solution exacte du problème qui fait intervenir des opérateurs appelés multiplicateurs de Gabor
Nowadays, it has become easy to edit images, such as blurring an area, or changing it to hide or add an object, a person, etc. Image editing is one of the basic tools of most image processing software. In the context of audio signals, it is often more natural to perform such an editing in a transformed domain, in particular the time-frequency domain. Again, this is a fairly common practice, but not necessarily based on sound theoretical arguments. Application cases include the restoration of regions of the time-frequency plane where information has been lost (e.g. phase information), the reconstruction of a degraded signal by an additive perturbation well localized in the time-frequency plane, or the separation of signals localized in different regions of the time-frequency plane. In this thesis, we propose and develop theoretical and algorithmic methods to solve this issue. We first formulate the problem as a missing data reconstruction problem in which the missing data are only the phases of the time-frequency coefficients. We formulate it mathematically, then we propose three methods to solve it. Secondly, we propose an approach that consists in attenuating a source of degradation with the assumption that it is localized in a specific region of the time-frequency plane. We consider the case where the signal of interest is perturbed by an additive signal and has an energy that is more widely spread in the time-frequency plane. We formulate it as an optimization problem designed to attenuate the perturbation with precise control of the level of attenuation. We obtain the exact solution of the problem which involves operators called Gabor multipliers
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Rider, A. T. "Global motion perception from multiple gabor arrays." Thesis, University College London (University of London), 2011. http://discovery.ucl.ac.uk/1318106/.

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This thesis examines the perception of motion of arrays of drifting Gabors (sinusoidal grating modulated by a static Gaussian function). Arrays of several Gabor patches provide ambiguous motion signals to the visual system and must be integrated over space to extract a globally consistent motion perception. Chapter 1 is a general introduction to the field of motion integration and a literature review. Chapters 2 to 5 use psychophysical techniques to explore motion perception as well as mathematical approaches from geometry and linear algebra to highlight some of the key features of these arrays and of global motion in general. Chapter 2 looks at the motion perception of Gabor arrays consistent with a rigid translation and finds that the apparent integration zone of motion signals is biased in the direction of global motion. Chapter 3 looks at how these motion signals interact with perceived spatial position and concludes that it is the global motion, not the local motion, which drives the mislocalisation of drifting Gabors. Chapter 4 looks at more complex global motion patterns, such as rotation and expansion, derived from the ambiguous motion of Gabor arrays. The results suggest that the visual system is at least as good at extracting this motion as it is for translation. In chapter 5 I construct a Gabor array that is consistent with multiple global solutions. I present a mathematical consideration of the properties of this construction before psychophysical studies show that the perceived motion varies with stimulus position within the visual field. This result is not explicable in light of existing models of global motion. The final chapter contains a discussion of the project as a whole.
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Joginipelly, Arjun Kumar. "Efficient FPGA Architectures for Separable Filters and Logarithmic Multipliers and Automation of Fish Feature Extraction Using Gabor Filters." ScholarWorks@UNO, 2014. http://scholarworks.uno.edu/td/1876.

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Convolution and multiplication operations in the filtering process can be optimized by minimizing the resource utilization using Field Programmable Gate Arrays (FPGA) and separable filter kernels. An FPGA architecture for separable convolution is proposed to achieve reduction of on-chip resource utilization and external memory bandwidth for a given processing rate of the convolution unit. Multiplication in integer number system can be optimized in terms of resources, operation time and power consumption by converting to logarithmic domain. To achieve this, a method altering the filter weights is proposed and implemented for error reduction. The results obtained depict significant error reduction when compared to existing methods, thereby optimizing the multiplication in terms of the above mentioned metrics. Underwater video and still images are used by many programs within National Oceanic Atmospheric and Administration (NOAA) fisheries with the objective of identifying, classifying and quantifying living marine resources. They use underwater cameras to get video recording data for manual analysis. This process of manual analysis is labour intensive, time consuming and error prone. An efficient solution for this problem is proposed which uses Gabor filters for feature extraction. The proposed method is implemented to identify two species of fish namely Epinephelus morio and Ocyurus chrysurus. The results show higher rate of detection with minimal rate of false alarms.
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Book chapters on the topic "Gabor multiplier"

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Dörfler, Monika, and Ewa Matusiak. "Sparse Gabor Multiplier Estimation for Identification of Sound Objects in Texture Sound." In Lecture Notes in Computer Science, 443–62. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12976-1_26.

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Feichtinger, Hans G., and Krzysztof Nowak. "A First Survey of Gabor Multipliers." In Advances in Gabor Analysis, 99–128. Boston, MA: Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0133-5_5.

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Gibson, Peter C., Michael P. Lamoureux, and Gary F. Margrave. "Representation of Linear Operators by Gabor Multipliers." In Excursions in Harmonic Analysis, Volume 2, 229–50. Boston: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8379-5_12.

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Yüce, Anıl, Nuri Murat Arar, and Jean-Philippe Thiran. "Multiple Local Curvature Gabor Binary Patterns for Facial Action Recognition." In Human Behavior Understanding, 136–47. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02714-2_12.

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Gopalakrishna, M. T., M. Ravishankar, and D. R. Rameshbabu. "Multiple Moving Object Recognitions in Video Based on Log Gabor-PCA Approach." In Advances in Intelligent Systems and Computing, 93–100. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-01778-5_10.

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Lin, Feng-Yan, Chun-Hou Zheng, Xiao-Feng Wang, and Qing-Kui Man. "Multiple Classification of Plant Leaves Based on Gabor Transform and LBP Operator." In Communications in Computer and Information Science, 432–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-85930-7_55.

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Salve, Pradip, Milind Sardesai, and Pravin Yannawar. "Combining Multiple Classifiers Using Hybrid Votes Technique with Leaf Vein Angle, CNN and Gabor Features for Plant Recognition." In Communications in Computer and Information Science, 313–31. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0493-5_28.

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Sheikh, Md Abdul Alim. "EXTRACTION OF MAN-MADE OBJECT FROM REMOTE SENSING IMAGES USING GABOR ENERGY FEATURES AND NEURAL NETWORKS." In Futuristic Trends in Artificial Intelligence Volume 2 Book 16, 132–47. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2023. http://dx.doi.org/10.58532/v2bs16ch13.

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This chapter presents a novel approach for man-made object extraction in Remote Sensing (RS) images. This paper focuses on the design and implementation of a system that allows a user to extract multiple objects such as buildings or roads from an input image without much user intervention. The framework includes five main stages: 1) Pre-processing Stage. 2) Extraction of Local energy features using edge information and Gabor filter followed by down sampling to reduce the redundant information. 3) Further reduction of the size of feature vectors using Wavelet decomposition. 4) Classification and recognition of man-made structures using Probabilistic Neural Network (PNN) 5) NDVI based postclassification refinement. Experiments are carried out on a dataset of 200 RS images. The proposed framework yields Overall Accuracy (OA) of 93%. Experimental results validate the effective performance of the suggested method for manmade objects extraction from RS images. Compared with other methods; the proposed framework exhibits significantly improved accuracy results and computationally much more efficient. Most notably, it has a much smaller input size, which makes it more feasible in practical application
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BEN-ARIE, JEZEKIEL. "Multi-Dimensional Linear Lattice for Fourier and Gabor Transforms, Multiple-Scale Gaussian Filtering, and Edge Detection." In Neural Networks for Perception, 214–33. Elsevier, 1992. http://dx.doi.org/10.1016/b978-0-12-741251-1.50018-7.

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Conference papers on the topic "Gabor multiplier"

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Yusof, Rubiyah, Nenny Ruthfalydia Rosli, and Marzuki Khalid. "Using Gabor Filters as Image Multiplier for Tropical Wood Species Recognition System." In 2010 12th International Conference on Computer Modelling and Simulation. IEEE, 2010. http://dx.doi.org/10.1109/uksim.2010.61.

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Yusof, Rubiyah, and Nenny Ruthfalydia Rosli. "Tropical Wood Species Recognition System Based on Gabor Filter as Image Multiplier." In 2013 International Conference on Signal-Image Technology & Internet-Based Systems (SITIS). IEEE, 2013. http://dx.doi.org/10.1109/sitis.2013.120.

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Cannon, Mark W. "Attention uncertainty accounts for thresholds of multiple Gabor patches." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.wm6.

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The Quick formula for response pooling cannot account for spatial summation of noncontiguous multiple patch Gabor stimuli even when the subject has full knowledge of the stimulus configuration. Thresholds for a contiguous Gabor patch with increasing radius can be accounted for by Quick summation with an exponent of 2.5 for both foveal and peripheral viewing. Thresholds for a stimulus consisting of two or more small, spatially separated Gabors viewed 2.5° in the periphery require a Quick exponent of ~6.4. This discrepancy between exponents for contiguous and noncontiguous stimuli can be explained by an attention uncertainty model in which subjects can attend to one spatial position perfectly but can attend correctly to each of the other spatial positions with a probability <1. Two interval forced choice threshold experiments were simulated by Monte Carlo methods using the uncertainty model and two models for the observer's decision process. It is shown that the uncertainty model can account for the threshold data with either decision process, but estimates of how attention probability varies with the number of patches favors one of the decision process models.
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Feichtinger, Hans G. "Gabor multipliers with varying lattices." In Optical Science and Technology, SPIE's 48th Annual Meeting, edited by Michael A. Unser, Akram Aldroubi, and Andrew F. Laine. SPIE, 2003. http://dx.doi.org/10.1117/12.507648.

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Taubock, Georg, Shristi Rajbamshi, Peter Balazs, and Luis Daniel Abreu. "Random Gabor Multipliers and Compressive Sensing." In 2019 13th International conference on Sampling Theory and Applications (SampTA). IEEE, 2019. http://dx.doi.org/10.1109/sampta45681.2019.9030816.

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Klein, Stanley A., and Brent Beutter. "Hermite functions maximize the spacespatial frequency uncertainty of Gaborlike functions." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.ww3.

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Wavelets that are localized both in space and in spatial frequency are useful for vision modeling and image processing. For example, in image compression one would like localization in spatial frequency so that the small spatial filters are insensitive to low spatial frequencies to which the visual system is highly sensitive. One would also like spatially localized filters to reduce interference between adjacent features. Several investigators, including Gabor, asked what particular wavelet shape minimizes the joint space-spatial frequency uncertainty (the Heisenberg uncertainty). Consider the class of functions that are an nth-order polynomial times a Gaussian. Gabor proved that the nth-order Hermite polynomial produced the extremum of the Heisenberg uncertainty. He believed that the extremum he found was the minimum. We found that Gabor was partly right and partly wrong. A Hermite polynomial when multiplied by a Gaussian is indeed an extremum of the Heisenberg uncertainty for the class functions that are an nth-order polynomial times a Gaussian. The problem is that it maximizes rather than minimizes the uncertainty.
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Kreme, A. Marina, Valentin Emiya, Caroline Chaux, and Bruno Torresani. "Filtering Out Time-Frequency Areas Using Gabor Multipliers." In ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2020. http://dx.doi.org/10.1109/icassp40776.2020.9053482.

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Rajbamshi, Shristi, Georg Taubock, Peter Balazs, and Luis Daniel Abreu. "Random Gabor Multipliers for Compressive Sensing: A Simulation Study." In 2019 27th European Signal Processing Conference (EUSIPCO). IEEE, 2019. http://dx.doi.org/10.23919/eusipco.2019.8903092.

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"MULTIPLE VEHICLE TRACKING USING GABOR FILTER BANK PREDICTOR." In International Conference on Computer Vision Theory and Applications. SciTePress - Science and and Technology Publications, 2009. http://dx.doi.org/10.5220/0001806006320635.

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Jiang-Wei Li. "Eye blink detection based on multiple Gabor response waves." In 2008 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2008. http://dx.doi.org/10.1109/icmlc.2008.4620894.

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