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Method for improving the Generalized Interpolated Fourier Transform
2014 International Conference on Machine Learning and Cybernetics, 2014Straight line detection is fairly common in computer vision community. Compared with Hough transform, Radon transform has been widely used for detecting Straight lines due to its superior capability .In this paper, we proposed a method for improving the performance of the Generalized Interpolated Fourier Transform(GIFT).
Mengmeng He, Liying Zheng
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Generalization of the d'Alembert formula and the Fourier method
Semigroup Forum, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yakubov, Sasun, Yakubov, Yakov
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Green Function Method for Quantum Transport Based on the Generalized Fourier Transform
Numerical Mathematics: Theory, Methods and Applications, 2023Summary: The rigorous relations between the propagators of transient Schrödinger equations and stationary Green functions are established. Based on the generalized Fourier transform, non-singular transparent boundary condition for transient problem is proposed in a representation of Green functions.
Jiang, Haiyan +3 more
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An improved character description method based on generalized fourier descriptors
European Transactions on Telecommunications, 1994AbstractAn improved method is presented to describe handwritten characters in terms of Generalized Fourier Descriptors (GFDs). There are two important problems in describing handwritten characters, namely straight line fitting and circle matching problems. The appropriate methods for obtaining the solutions of these two problems are presented.
Leon-Paul W. Niemel, Ramjee Prasad
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Spectral Levin-type methods for calculation of generalized Fourier transforms
Computational and Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junjie Ma 0003, Shiyi Duan
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A SUMMABILITY METHOD FOR FOURIER SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION
Analysis, 1997The authors presented an interesting summability method which sums the Fourier series of a function of \(\Lambda\)-bounded variation everywhere to \({1\over 2}(f(x+)+ f(x-))\) and uniformly on any closed interval of points of continuity. Their method is given by a kernel function, in terms of the sequence \(\Lambda\), and this method is specific to the
D'Antonio, Lawrence A., Waterman, Daniel
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A Fourier Transform Method for Generation of Anharmonic Vibrational Molecular Spectra
Journal of Chemical Theory and Computation, 2010Accurate computations of vibrational energies and vibrational spectra of molecules require inclusion of the anharmonic forces. In standard computational protocols, this leads to a large vibrational Hamiltonian matrix that needs to be diagonalized. Spectral intensities are calculated for individual transitions separately.
Ivan, Ivani +2 more
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ON THE SUMMABILITY OF GENERALIZED FOURIER SERIES BY ABEL'S METHOD
Mathematics of the USSR-Sbornik, 1985Translation from Mat. Sb., Nov. Ser. 122(164), No.2(10), 232-244 (Russian) (1983; Zbl 0535.42009).
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Generalized discrete Fourier transform: Theory and design methods
2009 IEEE Sarnoff Symposium, 2009Constant amplitude transforms like discrete Fourier transform (DFT), Walsh transform, nonlinear phase Walsh-like transforms and Gold codes have been successfully used in many wire-line and wireless communications technologies including code division multiple access (CDMA), discrete multi-tone (DMT), and orthogonal frequency division multiplexing (OFDM)
Ali N. Akansu, Handan Agirman-Tosun
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General Upper Bounds by Fourier Methods
2019The Fourier methodology developed in [91] to study the Stein’s equation in the Gaussian setting, often nowadays referred to as the Stein–Tikhomirov method, has been extended in [4] to provide rates of convergence in Kolmogorov or in smooth Wasserstein distance for sequences \((X_n)_{n\ge 1}\) converging toward \(X_\infty \).
Benjamin Arras, Christian Houdré
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