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Relevant bibliographies by topics / MULTIWAVELET

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Academic literature on the topic 'MULTIWAVELET'

Author: Grafiati

Published: 11 September 2023

Last updated: 25 July 2025

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Journal articles on the topic "MULTIWAVELET"

1

Shouzhi, Yang. "Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets." ANZIAM Journal 49, no. 1 (2007): 85–97. http://dx.doi.org/10.1017/s1446181100012694.

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A method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorthogonal multiwavelets is obtained. A multiwavelet sampling theorem is also established. In addition, we improve the stability of the biorthogonal interpolatory multiwavelet frame by the linear combination of a pair of biorthogonal interpolatory multiwavelets. Finally, we give an example illustrating how to use our method to construct biorthogonal interpolatory multiscaling functions and corresponding multiwavelets.

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Huang, Yongdong, Qiufu Li, and Ming Li. "Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor." Mathematical Problems in Engineering 2012 (2012): 1–37. http://dx.doi.org/10.1155/2012/640789.

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In order to organically combine the minimum-energy frame with the significant properties of multiwavelets, minimum-energy multiwavelet frames with arbitrary integer dilation factor are studied. Firstly, we define the concept of minimum-energy multiwavelet frame with arbitrary dilation factor and present its equivalent characterizations. Secondly, some necessary conditions and sufficient conditions for minimum-energy multiwavelet frame are given. Thirdly, the decomposition and reconstruction formulas of minimum-energy multiwavelet frame with arbitrary integer dilation factor are deduced. Finall

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Kromka, Jozef, Antónia Jusková, and Ján Šaliga. "ECG Sparsity Evaluation on a Multiwavelet Basis." Acta Electrotechnica et Informatica 23, no. 4 (2023): 17–23. http://dx.doi.org/10.2478/aei-2023-0018.

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Abstract In this paper, an evaluation of the multiwavelet basis’ capability to represent the ECG signal sparsely was performed. The paper includes the mathematical formulation of sparsity, a brief introduction to the multiwavelet transform, as well as details about the simulation setup used for evaluation. Throughout the paper, various multiwavelets were investigated. The reported results show that the BAT and DB multiwavelets performed well, thus they could be used in the ECG signal sparsification. The investigation also focused on the ECG signals displaying deformations associated with illne

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Taha, Saleem, and Walid Mahmood. "New techniques for Daubechies wavelets and multiwavelets implementation using quantum computing." Facta universitatis - series: Electronics and Energetics 26, no. 2 (2013): 145–56. http://dx.doi.org/10.2298/fuee1302145t.

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In this paper, new techniques to implement the Daubechies wavelets and multiwavelets are presented using quantum computing synthesis structures. Also, a new quantum implementation of inverse Daubechies multiwavelet transform is proposed. The permutation matrices, particular unitary matrices, play a pivotal role. The particular set of permutation matrices arising in quantum wavelet and multiwavelet transforms is considered, and efficient quantum circuits that implement them are developed. This allows the design of efficient and complete quantum circuits for the quantum wavelet and multiwavelet

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NGUYEN, PHAN. "BIORTHOGONAL MULTIWAVELETS RELATED BY DIFFERENTIATION." International Journal of Wavelets, Multiresolution and Information Processing 12, no. 02 (2014): 1450021. http://dx.doi.org/10.1142/s0219691314500210.

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We provide a procedure for constructing biorthogonal multiwavelets from a family of biorthogonal multiscaling functions compactly supported on [-1,1]. The scaling vectors and the associated multiwavelets are piecewise continuously differentiable, symmetrical and possess approximation order three. The construction of scaling vectors is accomplished using quadratic fractal interpolation functions. The filters corresponding to scaling vectors possess certain properties which enable us to construct a new pair of biorthogonal scaling vectors and associated multiwavelets with different regularity an

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Saini, Manish Kumar, and Rajiv Kapoor. "Power Quality Events Classification Using MWT and MLP." Advanced Materials Research 403-408 (November 2011): 4266–71. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.4266.

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The work presented uses multiwavelet because of its inherent property to resolve the signal better than all single wavelets. Multiwavelets are based on more than one scaling function. The proposed methodology utilizes an enhanced resolving capability of multiwavelet to recognize power system disturbances. The disturbance classification schema is performed with multiwavelet neural network (MWNN). It performs a feature extraction and a classification algorithm composed of a multiwavelet feature extractor based on norm entropy and a classifier based on a multi-layer perceptron. The performance of

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Mahmoud, Waleed Ameen, Ali Ibrahim Abbas, and Nuha Abdul Sahib Alwan. "FACE IDENTIFICATION USING BACK-PROPAGATION ADAPTIVE MULTIWAVENET." Journal of Engineering 18, no. 03 (2023): 392–402. http://dx.doi.org/10.31026/j.eng.2012.03.12.

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Face Identification is an important research topic in the field of computer vision and pattern recognition and has become a very active research area in recent decades. Recently multiwavelet-based neural networks (multiwavenets) have been used for function approximation and recognition, but to our best knowledge it has not been used for face Identification. This paper presents a novel approach for the Identification of human faces using Back-Propagation Adaptive Multiwavenet. The proposed multiwavenet has a structure similar to a multilayer perceptron (MLP) neural network with three layers, bu

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BACCHELLI, SILVIA, and SERENA PAPI. "A NOTE ON A MATRIX APPROACH TO MULTIWAVELET APPLICATIONS." International Journal of Wavelets, Multiresolution and Information Processing 04, no. 03 (2006): 509–22. http://dx.doi.org/10.1142/s0219691306001415.

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In recent years, many papers have been devoted to the topic of balanced multiwavelets, namely, multiwavelet bases which are especially designed to avoid the prefiltering step in the implementation of the multiwavelet transform. In this work, we give a simple algebraic proof of how scalar wavelets can be reinterpreted as the most natural balanced multiwavelets, which maintain the good properties of the wavelet bases they come from. We then show how these new bases can be successfully used to apply matrix thresholding for the denoising of images corrupted by Gaussian noise. In fact, this new app

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Lang, W. Christopher. "Fractal multiwavelets related to the cantor dyadic group." International Journal of Mathematics and Mathematical Sciences 21, no. 2 (1998): 307–14. http://dx.doi.org/10.1155/s0161171298000428.

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Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these wavelets is described. Multiwavelet systems with algorithms of similar structure include certain orthogonal compactly supported multiwavelets in the linear double-knot spline spaceS1,2.

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Hnativ, Lev. "Orthonormalized basic of fractal stepped multiwavelets – a new multiwavelet technology for signal and image processing." Physico-mathematical modelling and informational technologies, no. 32 (July 7, 2021): 91–95. http://dx.doi.org/10.15407/fmmit2021.32.091.

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A new class of fractal step functions with linear and nonlinear changes in values is described, and on their basis a recurrent method for constructing functions of a new class of fractal step multiwavelets (FSMW) of various shapes with linear and nonlinear changes in values is developed. A method and an algorithm for constructing a whole family of basic FSMW systems have been developed. An algorithm for calculating the coefficients of a discrete multiwavelet transform based on a multiwavelet packet without performing convolution and decimated sampling operations, in contrast to the classical m

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Dissertations / Theses on the topic "MULTIWAVELET"

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Koch, Karsten. "Interpolating scaling vectors and multiwavelets in Rd : a multiwavelet cookery book /." Berlin : Logos-Verl, 2007. http://deposit.d-nb.de/cgi-bin/dokserv?id=2917176&prov=M&dok_var=1&dok_ext=htm.

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Koch, Karsten. "Interpolating scaling vectors and multiwavelets in Rd a multiwavelet cookery book." Berlin Logos-Verl, 2006. http://deposit.d-nb.de/cgi-bin/dokserv?id=2917176&prov=M&dok_var=1&dok_ext=htm.

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Brodin, Andreas. "Multiwavelet analysis on fractals." Doctoral thesis, Umeå : Dept. of Mathematics and Mathematical Statistics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-1131.

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Martin, Michael B. "Applications of Multiwavelets to Image Compression." Thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/33601.

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Methods for digital image compression have been the subject of much study over the past decade. Advances in wavelet transforms and quantization methods have produced algorithms capable of surpassing the existing image compression standards like the Joint Photographic Experts Group (JPEG) algorithm. For best performance in image compression, wavelet transforms require filters that combine a number of desirable properties, such as orthogonality and symmetry. However, the design possibilities for wavelets are limited because they cannot simultaneously possess all of these desirable propertie

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Garcia, Bautista Javier. "Multiwavelet-based hp-adaptation for discontinuous Galerkin methods." Thesis, Ecole centrale de Nantes, 2022. http://www.theses.fr/2022ECDN0046.

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L’objectif principal de cette thèse est de développer une méthode hp-adaptative efficace en termes de coût et précision pour les schémas Galerkin discontinus appliqués aux équations de Navier-Stokes, en combinant flexibilité de l’adaptation a posteriori et précision de l’adaptation multi-résolution. Les performances de l’algorithme d’adaptation hp sont illustrées sur plusieurs cas d’écoulements stationnaires en une et deux dimensions. La première direction de recherche emploie une nouvelle méthodologie basée sur les multiondelettes pour estimer l’erreur de discrétisation de la solution numériq

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Fann, George I.-Pan. "Efficient multiwavelet representation of the projector on divergence-free functions." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/9176.

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Castrillón, Candás Julio E. (Julio Enrique). "Spatially adaptive multiwavelet representations on unstructured grids with applications to multidimensional computational modeling." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/8923.

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Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2001.<br>Includes bibliographical references (p. 130-134).<br>In this thesis, we develop wavelet surface wavelet representations for complex surfaces, with the goal of demonstrating their potential for 3D scientific and engineering computing applications. Surface wavelets were originally developed for representing geometric objects in a multiresolution format in computer graphics. However, we further extend the construction of surface wavelets and prove the existence of a large class of

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Jacobs, Denise Anne. "Multiwavelets in higher dimensions." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/28780.

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Strela, Vasily. "Multiwavelets--theory and applications." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/10631.

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Iyer, Lakshmi Ramachandran. "Image Compression Using Balanced Multiwavelets." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/33748.

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The success of any transform coding technique depends on how well the basis functions represent the signal features. The discrete wavelet transform (DWT) performs a multiresolution analysis of a signal; this enables an efficient representation of smooth and detailed signal regions. Furthermore, computationally efficient algorithms exist for computing the DWT. For these reasons, recent image compression standards such as JPEG2000 use the wavelet transform. It is well known that orthogonality and symmetry are desirable transform properties in image compression applications. It is also known tha

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Books on the topic "MULTIWAVELET"

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Aldroubi, Akram, and EnBing Lin, eds. Wavelets, Multiwavelets, and Their Applications. American Mathematical Society, 1998. http://dx.doi.org/10.1090/conm/216.

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Akram, Aldroubi, and Lin EnBing 1953-, eds. Wavelets, multiwavelets, and their applications: AMS Special Session on Wavelets, Multiwavelets, and Their Applications, January, 1997, San Diego, California. American Mathematical Society, 1998.

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Keinert, Fritz. Wavelets and Multiwavelets. Taylor & Francis Group, 2003.

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Keinert, Fritz. Wavelets and Multiwavelets. Taylor & Francis Group, 2003.

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Wavelets and multiwavelets. Chapman & Hall/CRC Press, 2004.

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Keinert, Fritz. Wavelets and Multiwavelets. Taylor & Francis Group, 2003.

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Keinert, Fritz. Wavelets and Multiwavelets. Taylor & Francis Group, 2003.

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Keinert, Fritz. Wavelets and Multiwavelets. Taylor & Francis Group, 2003.

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Keinert, Fritz. Wavelets and Multiwavelets. Taylor & Francis Group, 2003.

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Keinert, Fritz. Wavelets and Multiwavelets (Studies in Advanced Mathematics). Chapman & Hall/CRC, 2003.

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Book chapters on the topic "MULTIWAVELET"

1

Aldroubi, Akram. "Oblique Multiwavelet Bases." In Wavelet Theory and Harmonic Analysis in Applied Sciences. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-2010-7_4.

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Averbuch, Amir Z., Pekka Neittaanmäki, and Valery A. Zheludev. "Multiwavelet Frames Originated From Hermite Splines." In Spline and Spline Wavelet Methods with Applications to Signal and Image Processing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22303-2_16.

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Harrison, Robert J., George I. Fann, Takeshi Yanai, and Gregory Beylkin. "Multiresolution Quantum Chemistry in Multiwavelet Bases." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-44864-0_11.

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Ashino, Ryuichi, Takeshi Mandai, and Akira Morimoto. "Continuous Multiwavelet Transform for Blind Signal Separation." In Trends in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-47512-7_12.

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Kestler, S. "A Special Multiwavelet Basis for Unbounded Product Domains." In Numerical Mathematics and Advanced Applications 2011. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33134-3_20.

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Sumesh, Eratt P., and Elizabeth Elias. "Optimization of Finite Difference Method with Multiwavelet Bases." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03547-0_5.

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Fang, Zhijun, Guihua Luo, Jucheng Yang, and Shouyuan Yang. "Multiwavelet Video Coding Based on DCT Time Domain Filtering." In Transactions on Edutainment VII. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29050-3_21.

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Kim, Wonkoo, and Ching-Chung Li. "A Study on Preconditioning Multiwavelet Systems for Image Compression." In Wavelet Analysis and Its Applications. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45333-4_6.

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Sankar, M. Ravi, P. Srinivas, V. Praveena, et al. "Performance Evaluation of Multiwavelet Transform for Single Image Dehazing." In Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-28975-0_10.

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Jallouli, Malika, Wafa Belhadj Khalifa, Anouar Ben Mabrouk, and Mohamed Ali Mahjoub. "Toward Multiwavelet Haar-Schauder Entropy for Biomedical Signal Reconstruction." In Computer Analysis of Images and Patterns. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89128-2_29.

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Conference papers on the topic "MULTIWAVELET"

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Kolev, Vasil, and Todor Cooklev. "Matrix Spectral Factorization for Alpert Multiwavelet Filter Bank." In 2024 32nd National Conference with International Participation (TELECOM). IEEE, 2024. https://doi.org/10.1109/telecom63374.2024.10812325.

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Xia, Xiang-Gen, Jeffrey S. Geronimo, Douglas P. Hardin, and Bruce W. Suter. "Computations of multiwavelet transforms." In SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, edited by Andrew F. Laine and Michael A. Unser. SPIE, 1995. http://dx.doi.org/10.1117/12.217578.

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Aldroubi, Akram. "Oblique multiwavelet bases: examples." 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/10.1117/12.255271.

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Kromka, Jozef, Ondrej Kovac, and Jan Saliga. "Multiwavelet toolbox for MATLAB." In 2022 32nd International Conference Radioelektronika (RADIOELEKTRONIKA). IEEE, 2022. http://dx.doi.org/10.1109/radioelektronika54537.2022.9764952.

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Ho, C. Y. F., B. W. K. Ling, and P. K. S. Tam. "Denoising by multiwavelet singularity detection." In Proceedings of 2003 International Conference on Neural Networks and Signal Processing. IEEE, 2003. http://dx.doi.org/10.1109/icnnsp.2003.1279349.

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Wang, Ling, and Xiang Feng. "Prefiltering of Multiwavelet with Banlancing." In 2006 International Conference on Machine Learning and Cybernetics. IEEE, 2006. http://dx.doi.org/10.1109/icmlc.2006.258874.

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XIA, MING-GE, YOU HE, FENG SU, and WEN OUYANG. "IMAGE FUSION USING MULTIWAVELET TRANSFORMS." In Proceedings of the International Computer Congress 2004. World Scientific Publishing Company, 2004. http://dx.doi.org/10.1142/9789812702654_0052.

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Wang, Ning, Baobin Li, and Lizhong Peng. "Multiple Description Multiwavelet Based Image Coding." In 2010 Seventh International Conference on Information Technology: New Generations. IEEE, 2010. http://dx.doi.org/10.1109/itng.2010.133.

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Peeters, R. L. M., J. M. H. Karel, R. L. Westra, S. A. P. Haddad, and W. A. Serdijn. "Multiwavelet Design for Cardiac Signal Processing." In Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 2006. http://dx.doi.org/10.1109/iembs.2006.259733.

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Peeters, R. L. M., J. M. H. Karel, R. L. Westra, S. A. P. Haddad, and W. A. Serdijn. "Multiwavelet Design for Cardiac Signal Processing." In Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 2006. http://dx.doi.org/10.1109/iembs.2006.4397744.

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Reports on the topic "MULTIWAVELET"

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Poppeliers, Christian. The use of multiwavelets for uncertainty estimation in seismic surface wave dispersion. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1413439.

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