Academic literature on the topic 'Decomposition (Mathematics) Filters (Mathematics)'

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Journal articles on the topic "Decomposition (Mathematics) Filters (Mathematics)"

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Cotronei, Mariantonia, Milvia Rossini, Tomas Sauer, and Elena Volontè. "Filters for anisotropic wavelet decompositions." Journal of Computational and Applied Mathematics 349 (March 2019): 316–30. http://dx.doi.org/10.1016/j.cam.2018.09.015.

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LI, SHUTAO. "MULTISENSOR REMOTE SENSING IMAGE FUSION USING STATIONARY WAVELET TRANSFORM: EFFECTS OF BASIS AND DECOMPOSITION LEVEL." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 01 (2008): 37–50. http://dx.doi.org/10.1142/s0219691308002203.

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Stationary wavelet transform is an efficient algorithm for remote sensing image fusion. In this paper, we investigate the effects of orthogonal/biorthogonal filters and decomposition depth on using stationary wavelet analysis for fusion. Spectral discrepancy and spatial distortion are used as quality measures. Empirical results lead to some recommendations on the wavelet filter parameters for use in remote sensing image fusion applications.
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Jun, Young Bae, and Aiyared Iampan. "Shift Up-Filters and Decompositions of Up-Filters in Up-Algebras." Missouri Journal of Mathematical Sciences 31, no. 1 (2019): 36–45. http://dx.doi.org/10.35834/mjms/1559181624.

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Su, Lo-Chyuan, Yue-Dar Jou, and Fu-Kun Chen. "Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design." Mathematical Problems in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/249021.

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All-pass filter design can be generally achieved by solving a system of linear equations. The associated matrices involved in the set of linear equations can be further formulated as a Toeplitz-plus-Hankel form such that a matrix inversion is avoided. Consequently, the optimal filter coefficients can be solved by using computationally efficient Levinson algorithms or Cholesky decomposition technique. In this paper, based on trigonometric identities and sampling the frequency band of interest uniformly, the authors proposed closed-form expressions to compute the elements of the Toeplitz-plus-Ha
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KIM, WONKOO, and CHING-CHUNG LI. "ON PRECONDITIONING MULTIWAVELET SYSTEMS FOR IMAGE COMPRESSION." International Journal of Wavelets, Multiresolution and Information Processing 01, no. 01 (2003): 51–74. http://dx.doi.org/10.1142/s0219691303000049.

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This paper presents a study on applications of multiwavelet analysis to image compression. The biorthogonality and perfect reconstruction conditions are applied to multiwavelet filters. As a multiwavelet filter bank has multiple channels of inputs, the data structure of inputs to the multiwavelet system should be taken into consideration in multiwavelet decomposition and reconstruction algorithms. We investigate the data initialization problem by considering prefilters and postfilters that may give more efficient representations of the decomposed data. The interpolation postfilter and prefilte
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Et. al., Gutta Srinivas Rao,. "Morphological Transformation In Poor Lighting Images For Image Contrast Enhancement." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 5 (2021): 1559–68. http://dx.doi.org/10.17762/turcomat.v12i5.2127.

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The paper presents a novel algorithm for the computation of the image decomposition using a morphological filter with reconstruction. The target applications are image contrast enhancement especially those with high dynamic content. Both bright and dark regions contrast enhancement were considered. A new hardware efficient implementation of decomposition is presented. Following decomposition in 5 levels of detail a local contrast enhancement is performed. The new reconstruction algorithm and its hardware implementation as proposed is shown to be independent on structural element size and that
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Tiddeman, Bernard, and Morteza Ghahremani. "Principal Component Wavelet Networks for Solving Linear Inverse Problems." Symmetry 13, no. 6 (2021): 1083. http://dx.doi.org/10.3390/sym13061083.

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In this paper we propose a novel learning-based wavelet transform and demonstrate its utility as a representation in solving a number of linear inverse problems—these are asymmetric problems, where the forward problem is easy to solve, but the inverse is difficult and often ill-posed. The wavelet decomposition is comprised of the application of an invertible 2D wavelet filter-bank comprising symmetric and anti-symmetric filters, in combination with a set of 1×1 convolution filters learnt from Principal Component Analysis (PCA). The 1×1 filters are needed to control the size of the decompositio
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Fathee, Hala N., Osman N. Ucan, Jassim M. Abdul-Jabbar, and Oguz Bayat. "Efficient Unconstrained Iris Recognition System Based on CCT-Like Mask Filter Bank." Mathematical Problems in Engineering 2019 (May 15, 2019): 1–10. http://dx.doi.org/10.1155/2019/6575019.

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In this paper, a new personal identification method based on unconstrained iris recognition is presented. We apply a nontraditional step for feature extraction where a new circular contourlet filter bank is used to capture the iris characteristics. This idea is based on a new geometrical image transform called the circular contourlet transform (CCT). An efficient multilevel and multidirectional contourlet decomposition method is needed to form a reduced-length quantized feature vector with improved performance. The CCT transform provides both multiscale and multioriented analysis of iris featu
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FUJINOKI, KENSUKE, and SHUNSUKE ISHIMITSU. "TRIANGULAR BIORTHOGONAL WAVELETS WITH EXTENDED LIFTING." International Journal of Wavelets, Multiresolution and Information Processing 11, no. 04 (2013): 1360002. http://dx.doi.org/10.1142/s0219691313600023.

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We present a new family of triangular biorthogonal wavelets that is defined on a triangular lattice by introducing a new operation to generalize two-dimensional lifting, which we call twist. The resulting filters inherit several remarkable features of the early triangular biorthogonal wavelet filters such as the hexagonal symmetry of low-pass filters, symmetrical arrangement of three high-pass filters on the lattice, and that the wavelet decomposition produces uniform energy distributions over three detail components, preserving the isotropy of decomposed images. Additionally, these filters ar
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Karatoprak, Erinc, and Serhat Seker. "An Improved Empirical Mode Decomposition Method Using Variable Window Median Filter for Early Fault Detection in Electric Motors." Mathematical Problems in Engineering 2019 (February 19, 2019): 1–9. http://dx.doi.org/10.1155/2019/8015295.

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This paper proposes an improved Empirical Mode Decomposition (EMD) method by using variable window size median filters during the Intrinsic Mode Functions (IMFs) generation. Compared to the traditional EMD, the improved EMD, namely, Median EMD (MEMD), helps to reduce mode-mixing providing an improvement in terms of separating the fundamental frequencies per IMF. The MEMD method applies the EMD to the signal and then applies a variable window size median filter to the resulting IMFs. A narrow window is used for high frequency components where a broader window is used for the lower frequency com
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Dissertations / Theses on the topic "Decomposition (Mathematics) Filters (Mathematics)"

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Choi, Youngsik. "Incorporating robustness into fuzzy logic and mixture decomposition for image enhancement and segementation /." free to MU campus, to others for purchase, 1996. http://wwwlib.umi.com/cr/mo/fullcit?p9737866.

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梁鴻鈞 and Hung-kwan Leung. "Multi-rank wavelet filters." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31224714.

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Leung, Hung-kwan. "Multi-rank wavelet filters." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B23242395.

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Swarnakar, Vivek. "Optimal morphological filters /." Online version of thesis, 1993. http://hdl.handle.net/1850/11703.

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Shen, Jianhong 1971. "Asymptotics of wavelets and filters." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47469.

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Burns, Brenda D. "The Staircase Decomposition for Reductive Monoids." NCSU, 2002. http://www.lib.ncsu.edu/theses/available/etd-20020422-102254.

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<p>Burns, Brenda Darlene. The Staircase Decomposition for Reductive Monoids. (Under the direction of Mohan Putcha.) The purpose of the research has been to develop a decomposition for the J-classes of a reductive monoid. The reductive monoid M(K) isconsidered first. A J-class in M(K) consists ofelements of the same rank. Lower and upper staircase matricesare defined and used to decompose a matrix x of rank r into theproduct of a lower staircase matrix, a matrix with a rank rpermutation matrix in the upper left hand corner, and an upperstaircase matrix, each of which is of rank r. The choice of
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Cheng, Ho-Yin, and 鄭浩賢. "Lifting schemes for wavelet filters of trigonometric vanishingmoments." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B42577044.

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Hersh, Patricia (Patricia Lynn) 1973. "Decomposition and enumeration in partially ordered sets." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85303.

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Loce, Robert P. "Morphological filter mean-absolute-error representation theorems and their application to optimal morphological filter design /." Online version of thesis, 1993. http://hdl.handle.net/1850/11065.

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Mahakian, David R. "Analyzing Real-Life Pedestrian Measurements Using Kalman Filters." Thesis, California State University, Long Beach, 2019. http://pqdtopen.proquest.com/#viewpdf?dispub=10979263.

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<p> We study pedestrian dynamics using Kalman filtering methods. Kalman filters apply the Bayesian approach to a time series and incorporate the uncertainty in both the measurement and the mathematical model to create a better state estimate of a system, and are commonly used to reduce error in state estimates for applications ranging from radar systems to GPS. </p><p> Our goal is to combine a Kalman filter and the Kuhn-Munkres algorithm to not only predict the locations of the pedestrians but also reconstruct their walking path trajectories. We first worked on the linear system of stochasti
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Books on the topic "Decomposition (Mathematics) Filters (Mathematics)"

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Hamming, R. W. Digital filters. 3rd ed. Prentice Hall, 1989.

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Hamming, R. W. Digital filters. 3rd ed. Prentice Hall, 1989.

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Hamming, R. W. Digital filters. Dover Publications, 1998.

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Matroid decomposition. Academic Press, 1992.

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Truemper, K. Matroid decomposition. 2nd ed. ELibM [EMIS, EMS], 2000.

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1932-, Wang Shengwang, ed. New approaches in spectral decomposition. American Mathematical Society, 1992.

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The decomposition of global conformal invariants. Princeton University Press, 2012.

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Graph decompositions: A study in infinite graph theory. Clarendon Press, 1990.

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Almost completely decomposable groups. Gordon and Breach Science Publishers, 2000.

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Moody, R. V. Lie algebras with triangular decompositions. Wiley, 1995.

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Book chapters on the topic "Decomposition (Mathematics) Filters (Mathematics)"

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DeFacio, B., and O. Brander. "Information, uncertainty and the singular value decomposition of the filtered fourier transformation." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0080583.

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Wang, Jianzhong. "Elementary Matrix Decomposition Algorithm for Symmetric Extension of Laurent Polynomial Matrices and Its Application in Construction of Symmetric M-Band Filter Banks." In Intelligent Mathematics II: Applied Mathematics and Approximation Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30322-2_11.

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D’Amore, Luisa, Rosalba Cacciapuoti, and Valeria Mele. "Ab-initio Functional Decomposition of Kalman Filter: A Feasibility Analysis on Constrained Least Squares Problems." In Parallel Processing and Applied Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43222-5_7.

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Méndez, Miguel A. "Decomposition Theory." In SpringerBriefs in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11713-3_4.

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Macías, Sergio. "Decomposition Theorems." In Developments in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-65081-0_3.

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Longbotham, Harold, and David Eberly. "Statistical Properties, Fixed Points, and Decomposition with WMMR Filters." In Mathematical Nonlinear Image Processing. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-3148-7_2.

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Jensen, Arne, and Anders la Cour-Harbo. "Lifting and Filters II." In Ripples in Mathematics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56702-5_12.

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Jensen, Arne, and Anders la Cour-Harbo. "Lifting and Filters I." In Ripples in Mathematics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56702-5_7.

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Dimopoulos, Hercules G. "Some Filter Design Mathematics." In Analog Electronic Filters. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-2190-6_11.

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Van de Velde, Eric F. "Domain Decomposition." In Texts in Applied Mathematics. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0849-5_10.

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Conference papers on the topic "Decomposition (Mathematics) Filters (Mathematics)"

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Divanyan, Letisya, Metin Demiralp, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Weighted Reductive Multilinear Array Decomposition." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637820.

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Assaye, Berhanu, and Bekalu Tarekegn. "Ideals and filters of an almost distributive fuzzy lattice." In INTERNATIONAL CONFERENCE ON MATHEMATICS: PURE, APPLIED AND COMPUTATION: Empowering Engineering using Mathematics. Author(s), 2017. http://dx.doi.org/10.1063/1.4994443.

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Biazar, Jafar, Zainab Ayati, and Hamideh Ebrahimi. "Comparing Homotopy Perturbation Method and Adomian Decomposition Method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991054.

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Gündoğar, Zeynep, N. A. Baykara, Metin Demiralp, et al. "Derivative Including Quadratures Based on Kernel Decomposition." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637825.

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Berninger, Heiko, Ralf Kornhuber, Oliver Sander, et al. "Heterogeneous Domain Decomposition of Surface and Porous Media Flow." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637013.

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Kube, Susanna, and Marcus Weber. "Computation of Equilibrium Densities in Metastable Dynamical Systems by Domain Decomposition." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990927.

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Lotfi, Abdelhakim. "Domain Decomposition Method with an Interface Preconditioner for Frictionless Contact Problem." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990933.

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Sommen, Franciscus C. "Fourier‐Borel Transforms in Clifford Analysis and the Dual Fischer Decomposition." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991023.

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Özay, Evrim Korkmaz. "A new multiway array decomposition via enhanced multivariance product representation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756584.

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Brackx, Fred, Hennie De Schepper, Lukáš Krump, and Vladimír Souček. "Selfdual 2-forms in dimension 4 and their Fischer decomposition." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756121.

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