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Relevant bibliographies by topics / Wavelet coefficients

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Academic literature on the topic 'Wavelet coefficients'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Wavelet coefficients"

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DEBNATH, LOKENATH, and SARALEES NADARAJAH. "POPULAR WAVELET MODELS." International Journal of Wavelets, Multiresolution and Information Processing 05, no. 04 (2007): 655–66. http://dx.doi.org/10.1142/s0219691307001951.

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The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for two popular models for the marginal posterior density. We also illustrate the superior performance of these models over the standard models for wavelet coefficients.

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LEWALLE, JACQUES. "FIELD RECONSTRUCTION FROM SINGLE SCALE CONTINUOUS WAVELET COEFFICIENTS." International Journal of Wavelets, Multiresolution and Information Processing 07, no. 01 (2009): 131–42. http://dx.doi.org/10.1142/s0219691309002738.

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The redundancy of continuous wavelet transforms implies that the wavelet coefficients are not independent of each other. This interdependence allows the reconstruction or approximation of the wavelet transform, and of the original field, from a subset of the wavelet coefficients. Contrasting with lines of modulus maxima, known to provide useful partition functions and some data compaction, the reconstruction from single-scale coefficients is derived for the Hermitian family of wavelets. The formula is exact in the continuum for d-dimensional fields, and its limitations under discretization are

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Liu, Chenhua, and Anhong Wang. "State-Aware High-Order Diffusion Method for Edge Detection in the Wavelet Domain." Symmetry 15, no. 4 (2023): 803. http://dx.doi.org/10.3390/sym15040803.

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This paper addresses how to use high-order diffusion to restore the wavelet coefficients in the wavelet domain. To avoid image distortion, wavelets with symmetry are used for image decomposition to obtain the wavelet coefficients of each sub-band. Due to the influence of noise, it is particularly important to obtain the wavelet coefficients, which can accurately reflect the image information. According to the characteristics of wavelet threshold shrinkage and the advantages of the high-order variational method in denoising, a wavelet coefficient restoration scheme is proposed. The theoretical

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Jiang, Tian Hua, and Jing Rong Peng. "Digital Simulation of Bridge Wind Fields Based on Wavelet Method." Advanced Materials Research 201-203 (February 2011): 2532–35. http://dx.doi.org/10.4028/www.scientific.net/amr.201-203.2532.

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Digital simulation of stochastic wind velocity field is prerequisite to flutter or buffeting analysis of long-span bridges in time-domain. Wavelet method was applied to the simulation of the stochastic wind field, performing the effective simulation of spatial stochastic wind field. According to the idea of multi-resolution analysis and orthonormal wavelets, relationship between wavelet coefficients and PSD(power spectral density)function is deduced , then the wavelet coefficients on each and every scale are obtained from the given PSD function, the intermittency was introduced into wavelet co

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Cattani, Carlo. "Shannon Wavelets Theory." Mathematical Problems in Engineering 2008 (2008): 1–24. http://dx.doi.org/10.1155/2008/164808.

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Shannon wavelets are studied together with their differential properties (known as connection coefficients). It is shown that the Shannon sampling theorem can be considered in a more general approach suitable for analyzing functions ranging in multifrequency bands. This generalization coincides with the Shannon wavelet reconstruction ofL2(ℝ)functions. The differential properties of Shannon wavelets are also studied through the connection coefficients. It is shown that Shannon wavelets areC∞-functions and their any order derivatives can be analytically defined by some kind of a finite hypergeom

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Jansen, Maarten. "Non-equispaced B-spline wavelets." International Journal of Wavelets, Multiresolution and Information Processing 14, no. 06 (2016): 1650056. http://dx.doi.org/10.1142/s0219691316500569.

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This paper has three main contributions. The first is the construction of wavelet transforms from B-spline scaling functions defined on a grid of non-equispaced knots. The new construction extends the equispaced, biorthogonal, compactly supported Cohen–Daubechies–Feauveau wavelets. The new construction is based on the factorization of wavelet transforms into lifting steps. The second and third contributions are new insights on how to use these and other wavelets in statistical applications. The second contribution is related to the bias of a wavelet representation. It is investigated how the f

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Yin, Ming, Wei Liu, Jun Shui, and Jiangmin Wu. "Quaternion Wavelet Analysis and Application in Image Denoising." Mathematical Problems in Engineering 2012 (2012): 1–21. http://dx.doi.org/10.1155/2012/493976.

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The quaternion wavelet transform is a new multiscale analysis tool. Firstly, this paper studies the standard orthogonal basis of scale space and wavelet space of quaternion wavelet transform in spatialL2(R2), proves and presents quaternion wavelet’s scale basis function and wavelet basis function concepts in spatial scale spaceL2(R2;H), and studies quaternion wavelet transform structure. Finally, the quaternion wavelet transform is applied to image denoising, and generalized Gauss distribution is used to model QWT coefficients’ magnitude distribution, under the Bayesian theory framework, to re

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Zhou, Guang-Dong, You-Liang Ding, and Ai-Qun Li. "Wavelet-Based Methodology for Evolutionary Spectra Estimation of Nonstationary Typhoon Processes." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/870420.

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Closed-form expressions are proposed to estimate the evolutionary power spectral density (EPSD) of nonstationary typhoon processes by employing the wavelet transform. Relying on the definition of the EPSD and the concept of the wavelet transform, wavelet coefficients of a nonstationary typhoon process at a certain time instant are interpreted as the Fourier transform of a new nonstationary oscillatory process, whose modulating function is equal to the modulating function of the nonstationary typhoon process multiplied by the wavelet function in time domain. Then, the EPSD of nonstationary typh

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Shumilov, Boris M. "An Algorithm with the Even-odd Splitting of the Wavelet Transform of Non-Hermitian Splines of the Seventh Degree." WSEAS TRANSACTIONS ON SIGNAL PROCESSING 18 (March 2, 2022): 25–36. http://dx.doi.org/10.37394/232014.2022.18.4.

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The article investigates an implicit method of decomposition of the 7th degree non-Hermitian splines into a series of wavelets with two zero moments. The system of linear algebraic equations connecting the coefficients of the spline expansion on the initial scale with the spline coefficients and wavelet coefficients on the embedded scale is obtained. The even-odd splitting of the wavelet decomposition algorithm into a solution of the half-size five-diagonal system of linear equations and some local averaging formulas are substantiated. The results of numerical experiments on accuracy on polyno

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Ghasemi-Ghalebahman, Ahmad, Mohammad-Reza Ashory, and Mohammad-Javad Kokabi. "A proper lifting scheme wavelet transform for vibration-based damage identification in composite laminates." Journal of Thermoplastic Composite Materials 31, no. 5 (2017): 668–88. http://dx.doi.org/10.1177/0892705717718239.

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Damage detection using the wavelet transform was investigated and appropriate approaches to raising the method’s sensitivity level were proposed. In addition, the current study attempted to implement the impulse wavelet design algorithm in order to present appropriate wavelet function with respect to the characteristics of the signal. The initial wavelet function corresponding to the impulse response of composite plate was achieved using impulse wavelet algorithm in time domain. The function was optimized using lifting scheme method. To detect damages, an appropriate signal was selected throug

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Dissertations / Theses on the topic "Wavelet coefficients"

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Er, Chiangkai. "Speech recognition by clustering wavelet and PLP coefficients." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/42742.

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Al-Jawad, Naseer. "Exploiting statistical properties of wavelet coefficients for image/video processing and analysis tasks." Thesis, University of Buckingham, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.601354.

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In this thesis the statistical properties of wavelet transform high frequency sub-bands has been used and exploited in three main different applications. These applications are; Image/video feature preserving compression, Face Biometric content based video retrieval and Face feature extraction for face verification and recognition. The main idea of this thesis was also used previously in watermarking (Dietze 2005) where the watermark can be hidden automatically near the significant features in the wavelet sub-bands. The idea is also used in image compression where special integer compression a

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Al-Jawad, Neseer. "Exploiting Statical Properties of Wavelet Coefficients for image/Video Processing and Analysis Tasks." Thesis, University of Exeter, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515492.

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Chrápek, Tomáš. "Potlačování šumu v řeči založené na waveletové transformaci a rozeznávání znělosti segmentů." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2008. http://www.nusl.cz/ntk/nusl-217506.

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The wavelet transform is a modern signal processing tool. The wavelet transform earned itself a great success mainly for its unique properties, such as the capability of recognizing very fast changes in processed signal. The theoretical part of this work is introduction to wavelet theory, more specifically wavelet types, a wavelet transform and its application in systems dealing with signal denoising. A main problem connected to speech signals denoising was introduced. The problem is degradation of the speech signal when denoising unvoiced parts. It is because of the fact that unvoiced parts a

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Janajreh, Isam Mustafa II. "Wavelet Analysis of Extreme Wind Loads on Low-Rise Structures." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30414.

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Over the past thirty years, extensive research has been conducted with the objective of reducing wind damage to structures. Wind tunnel simulations of wind loads have been the major source of building codes. However, a simple comparison of pressure coefficients measured in wind tunnel simulations with full-scale measurements show that the simulations, in general, underpredict extreme negative pressure coefficients. One obvious reason is the lack of consensus on wind tunnel simulation parameters. The wind in the atmospheric surface layer is highly turbulent. In simulating wind loads on struc

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Konczi, Róbert. "Digitální hudební efekt založený na waveletové transformaci jako plug-in modul." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2011. http://www.nusl.cz/ntk/nusl-218981.

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This work deals with theory of wavelet transform and Mallat’s algorithm. It also includes the programming method of creating VST plug-in modules and describes the developement of the plug-in module, witch uses the modificated coeficients of wavelet transform to applicate the music effect.

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Kato, Jien, Toyohide Watanabe, Sebastien Joga, et al. "An HMM-based segmentation method for traffic monitoring movies." IEEE, 2002. http://hdl.handle.net/2237/6744.

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Morand, Claire. "Segmentation spatio-temporelle et indexation vidéo dans le domaine des représentations hiérarchiques." Thesis, Bordeaux 1, 2009. http://www.theses.fr/2009BOR13888/document.

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L'objectif de cette thèse est de proposer une solution d'indexation ``scalable'' et basée objet de flux vidéos HD compressés avec Motion JPEG2000. Dans ce contexte, d'une part, nous travaillons dans le domaine transformé hiérachique des ondelettes 9/7 de Daubechies et, d'autre part, la représentation ``scalable'' nécessite des méthodes en multirésolution, de basse résolution vers haute résolution. La première partie de ce manuscrit est dédiée à la définition d'une méthode d'extraction automatique des objets en mouvement. Elle repose sur la combinaison d'une estimation du mouvement global robus

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Stamos, Dimitrios Georgios. "Experimental Analysis of the Interaction of Water Waves With Flexible Structures." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/27567.

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An experimental investigation of the interaction of water waves with flexible structures acting as breakwaters was carried out. Wave profiles, mapped out by water level measuring transducers, were studied to provide information on the performance of different breakwater models. A new signal analysis procedure for determining reflection coefficients based on wavelet theory was developed and compared to a conventional method. The reliability of using wavelet analysis to separate a partial standing wave into incident and reflected wave components was verified with a numerical example. It was also

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Zhao, Fangwei. "Multiresolution analysis of ultrasound images of the prostate." University of Western Australia. School of Electrical, Electronic and Computer Engineering, 2004. http://theses.library.uwa.edu.au/adt-WU2004.0028.

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[Truncated abstract] Transrectal ultrasound (TRUS) has become the urologist’s primary tool for diagnosing and staging prostate cancer due to its real-time and non-invasive nature, low cost, and minimal discomfort. However, the interpretation of a prostate ultrasound image depends critically on the experience and expertise of a urologist and is still difficult and subjective. To overcome the subjective interpretation and facilitate objective diagnosis, computer aided analysis of ultrasound images of the prostate would be very helpful. Computer aided analysis of images may improve diagnostic ac

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Books on the topic "Wavelet coefficients"

1

Liandrat, J. Resolution of the 1D regularized Burgers equation using a spatial wavelet approximation. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1990.

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Book chapters on the topic "Wavelet coefficients"

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Delyon, Bernard, and Anatoli Juditsky. "Estimating Wavelet Coefficients." In Wavelets and Statistics. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-2544-7_10.

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Resnikoff, Howard L., and Raymond O. Wells. "Wavelet Calculus and Connection Coefficients." In Wavelet Analysis. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0593-7_10.

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Bratlie, Jostein, Rune Dalmo, and Børre Bang. "Wavelet Compression of Spline Coefficients." In Numerical Methods and Applications. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15585-2_27.

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Nawotki, A. "Exploiting Wavelet Coefficients for Modifying Functions." In Geometric Modelling. Springer Vienna, 2001. http://dx.doi.org/10.1007/978-3-7091-6270-5_16.

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Satti, Shahid M., Leon Denis, Adrian Munteanu, Jan Cornelis, and Peter Schelkens. "Modeling Wavelet Coefficients for Wavelet Subdivision Transforms of 3D Meshes." In Advanced Concepts for Intelligent Vision Systems. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-17688-3_26.

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Guoxiang, Song, and Zhao Ruizhen. "Three Novel Models of Threshold Estimator for Wavelet Coefficients." In Wavelet Analysis and Its Applications. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45333-4_19.

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Cathier, Pascal. "Iconic Feature Registration with Sparse Wavelet Coefficients." In Medical Image Computing and Computer-Assisted Intervention – MICCAI 2006. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11866763_85.

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Abramovich, Felix, and Yoav Benjamini. "Thresholding of Wavelet Coefficients as Multiple Hypotheses Testing Procedure." In Wavelets and Statistics. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-2544-7_1.

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Jansen, Maarten, and Adhemar Bultheel. "Geometrical Priors for Noisefree Wavelet Coefficients in Image Denoising." In Bayesian Inference in Wavelet-Based Models. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0567-8_15.

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Collineau, Serge. "Some remarks about the scalograms of wavelet transform coefficients." In Wavelets and Their Applications. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1028-0_15.

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Conference papers on the topic "Wavelet coefficients"

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Cade, Iain S., Patrick S. Keogh, M. Necip Sahinkaya, and Clifford R. Burrows. "Wavelet Coefficient Characteristics During Rotor/Auxiliary Bearing Contact in Active Magnetic Bearing Systems." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35362.

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Auxiliary bearings are present in active magnetic bearing systems to prevent rotor/stator contact. If rotor/bearing contact occurs, significant impact forces may arise. Furthermore, linear control strategies may become ineffective due to the non-linear dynamics introduced by the auxiliary bearing. Rotor/auxiliary bearing contact is therefore an important consideration for the continued safe operation of an active magnetic bearing system. This work utilizes the localized nature of wavelets coefficients in characterising rotor/bearing contact responses. An experimental approach is adopted using

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Svenson, T. D., Jo A. Ward, and K. J. Harrison. "Uniform approximation of wavelet coefficients." In SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, edited by Michael A. Unser, Akram Aldroubi, and Andrew F. Laine. SPIE, 1996. http://dx.doi.org/10.1117/12.255231.

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Limei Zhang and Zhongxuan Luo. "Subdivision wavelet with stochastic coefficients." In 2008 7th World Congress on Intelligent Control and Automation. IEEE, 2008. http://dx.doi.org/10.1109/wcica.2008.4593081.

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Wale, Sachin S., and Vinayak G. Asutkar. "Evaluation of wavelet connection coefficients by wavelet-Galerkin approximation." In 2014 Annual IEEE India Conference (INDICON). IEEE, 2014. http://dx.doi.org/10.1109/indicon.2014.7030425.

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Chae, Jong J., and B. S. Manjunath. "Robust embedded data from wavelet coefficients." In Photonics West '98 Electronic Imaging, edited by Ishwar K. Sethi and Ramesh C. Jain. SPIE, 1997. http://dx.doi.org/10.1117/12.298463.

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Keinert, Fritz, and Soon-Geol Kwon. "High-accuracy reconstruction from wavelet coefficients." In SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, edited by Michael A. Unser, Akram Aldroubi, and Andrew F. Laine. SPIE, 1996. http://dx.doi.org/10.1117/12.255230.

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Singhal, Anuradha, and Punam Bedi. "Steganography using Cuckoo Optimized Wavelet Coefficients." In the Third International Symposium. ACM Press, 2015. http://dx.doi.org/10.1145/2791405.2791500.

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Cristea, Daniela-Ecaterina. "Statistical modeling of texture wavelet coefficients." In 2012 10th International Symposium on Electronics and Telecommunications (ISETC). IEEE, 2012. http://dx.doi.org/10.1109/isetc.2012.6408126.

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Zhou, Guo-Rui, Wen-Jiang Wang, and Shi-Xin Sun. "Phase Properties of Complex Wavelet Coefficients." In 2009 Fourth International Conference on Innovative Computing, Information and Control (ICICIC). IEEE, 2009. http://dx.doi.org/10.1109/icicic.2009.295.

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Pushpavathi, K. P., and B. Kanmani. "FIR Filter Design using Wavelet Coefficients." In 2019 International Conference on Wireless Communications Signal Processing and Networking (WiSPNET). IEEE, 2019. http://dx.doi.org/10.1109/wispnet45539.2019.9032718.

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Reports on the topic "Wavelet coefficients"

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Gao, Zhenguang, Andrey Andreev, and Robert C. Sharpley. Data Compression and Elementary Encoding of Wavelet Coefficients. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada640181.

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Abdallah, Mahmoud A., and Ram-Nandan P. Singh. Image Data Compression by Adaptive Thresholding of Wavelet Coefficients. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada375823.

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Romine, C. H., and B. W. Peyton. Computing connection coefficients of compactly supported wavelets on bounded intervals. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/661583.

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