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Backprojection with Fourier series expansion and FFT
International Conference on Acoustics, Speech, and Signal Processing, 2002A computerized tomography reconstruction technique with the fast Fourier transform (FFT) is discussed. A fast backprojection method through the use of interpolated FFT is presented. An approach to interpolating and backprojecting the convolved projections onto the image frame is proposed.
Makoto Tabei, Mitsuhiro Ueda
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Backprojection with fourier series expansion and FFT
Systems and Computers in Japan, 1991AbstractThe filtered backprojection (FBP) method has recently been used for almost all the practical CT scanners because of its simple principle and high accuracy in reconstruction of images. However, it is difficult to use this method for some applications such as a real time display in which images are adjusted during displaying images, since a ...
Makoto Tabei +2 more
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Fourier Series Expansion of Irregular Curves
Fractals, 1997Fourier theory provides an important approach to shape analyses; many methods for the analysis and synthesis of shapes use a description based on the expansion of a curve in Fourier series. Most of these methods have centered on modeling regular shapes, although irregular shapes defined by fractal functions have also been considered by using spectral ...
Montiel, M E, Aguado, A S, Zaluska, E
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Numerical evaluation of Fourier-Bessel series expansion
ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005Fourier-Bessel (FB) series expansion of a given function has been in use to solve certain boundary value problems. Attempt had been made to utilize the FB series expansion coefficients to characterize certain class of signals [2]. This paper describes a fast and accurate algorithm for evaluating the FB series coefficients using interpolated FFT values ...
Kaliappan Gopalan, C. S. Chen
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Teaching of Fourier series expansions in undergraduate education
2013 IEEE Global Engineering Education Conference (EDUCON), 2013Here we discuss the teaching of Fourier series concepts in connection with undergraduate Electrical Engineering education. We briefly review some of the basic Fourier series theory, and present an Android application that has been found useful in this context.
Manuel J. C. S. Reis +5 more
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On Fourier–Bessel series and the Kneser–Sommerfeld expansion
Mathematical Methods in the Applied Sciences, 2021An error in Watson's Bessel Functions is corrected. It concerns a certain Fourier–Bessel series, an infinite series in which the terms involve the zeros of a Bessel function. Several related examples are discussed, and a connection with finite‐part integrals is noted.
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Fourier Series Expansion of Stochastic Measures
Theory of Probability & Its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Automated fourier series expansions for elliptic functions
Mechanics Research Communications, 1994There exist dynamical systems consisting of perturbations superimposed on solvable (in the sense of E. T. Whitthaker) problems. Most solvable problems require elliptic functions. For qualitative solutions of such dynamical systems, this paper proposes an approximation of the unperturbed solution by a Fourier series expansion of the amplitude.
Abad, Alberto +2 more
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On the Use of Fourier-Bessel Series Expansion for Gear Diagnostics
, 2012 This work seeks to study the potential effectiveness of Fourier-Bessel (FB) series expansion for gear fault diagnostics. FB series expansion is a method for cross-terms suppression in Wigner-Ville distribution (WVD). In particular, FB series expansion is
Gianluca D'Elia +2 more
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Integer factorization and finite Fourier series expansion
Lithuanian Mathematical Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yangklan, Pussadee +2 more
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