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22,051
qgeneralization of the inverse Fourier transform
 Phys. Lett. A
"... A wide class of physical distributions appears to follow the qGaussian form, which plays the role of attractor according to a qgeneralized Central Limit Theorem, where a qgeneralized Fourier transform plays an important role. We introduce here a method which determines a distribution from the kn ..."
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Cited by 2 (1 self)
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the knowledge of its qFourier transform and some supplementary information. This procedure involves a recently qgeneralized representation of the Dirac delta and the class of functions on which it acts. The present method conveniently extends the inverse of the standard Fourier transform, and is therefore
Fractional derivatives and the inverse Fourier transform of `
"... Abstract: In [1] and [2] H. Berens, Y. Xu and the author proved that the inverse Fourier integral of ` 1radial functions, i.e., functions which are radial w.r.t. the ` ..."
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Abstract: In [1] and [2] H. Berens, Y. Xu and the author proved that the inverse Fourier integral of ` 1radial functions, i.e., functions which are radial w.r.t. the `
Rendering falling snow using an inverse fourier transform
 In SIGGRAPH Technical Sketches & Applications (Full Conference DVD) (2003). 4 c○ The Eurographics Association
, 2004
"... Methods for rendering falling snow typically use particle systems [MaAllister 2000] which require tens of thousands of particles (snowflakes), and thus can be expensive. Here we present an alternative method for rendering falling snow that does not use particles but rather uses a global Fourier tran ..."
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Cited by 4 (1 self)
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c. We then take the inverse Fourier transform to get the XYT image. One remaining question is how to choose the power spectrum as a function of spatial frequency for these surfaces. We consider images of size 512 × 512 and we limit our tent surfaces to three octaves, ranging from 16 to 128 cycles
A PaleyWiener theorem for the inverse Fourier transform on some homogeneous spaces
, 2006
"... We formulate and prove a version of PaleyWiener theorem for the inverse Fourier transforms on noncompact Riemannian symmetric spaces and Heisenberg groups. The main ingredient in the proof is the Gutzmer’s formula. ..."
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Cited by 4 (0 self)
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We formulate and prove a version of PaleyWiener theorem for the inverse Fourier transforms on noncompact Riemannian symmetric spaces and Heisenberg groups. The main ingredient in the proof is the Gutzmer’s formula.
Developing And Comparing Numerical Methods For Computing The Inverse Fourier Transform
"... Computing the Fourier transform and its inverse is important in many applications of mathematics, such as frequency analysis, signal modulation, and filtering. Two methods will be derived for numerically computing the inverse Fourier transforms, and they will be compared to the standard inverse disc ..."
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Computing the Fourier transform and its inverse is important in many applications of mathematics, such as frequency analysis, signal modulation, and filtering. Two methods will be derived for numerically computing the inverse Fourier transforms, and they will be compared to the standard inverse
Rendering falling snow using an inverse Fourier transform
 In SIGGRAPH Technical Sketches & Applications (Full Conference DVD) (2003). 4 c○ The Eurographics Association
, 2004
"... are not used in order to enforce an upper bound on size of moving image structure  that is, snowflakes are small. Spatial frequencies above 128 cycles per frame are not used in order to stay far from the Nyquist limit. For spatial frequencies between 16 and 128 cycles per frame, we assign power pr ..."
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, # t ), namely: I(# x , # y , # t ) = I(# x , y , t ) The second step is to take the inverse 3D Fourier transform of I(# x , # y , # t ), giving I(x,y, t). We rescale I(x,y, t) to have values in [0, 1], and treat the scaled result as an opacity function #(x,y, t). # email: langer@cim.mcgill.ca e
Numerical projection method for inverse Fourier transform and its application
 Numer. Funct. Anal. Optim
, 2000
"... Numerical projection method of the Fourier transform inversion from data given on a finite interval is proposed. It is based on an expansion of the solution into a series of eigenfunctions of the Fourier transform. The number of terms of the expansion depends on the length of the data interval. Conv ..."
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Cited by 6 (4 self)
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Numerical projection method of the Fourier transform inversion from data given on a finite interval is proposed. It is based on an expansion of the solution into a series of eigenfunctions of the Fourier transform. The number of terms of the expansion depends on the length of the data interval
Inverse Fourier transform. Continuous frequency. Discrete frequency. Usual periodogram.
"... Abstract—The usual nonparametric approach to spectral analysis is revisited within the regularization framework. Both usual and windowed periodograms are obtained as the squared modulus of the minimizer of regularized least squares criteria. Then, particular attention is paid to their interpretation ..."
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Abstract—The usual nonparametric approach to spectral analysis is revisited within the regularization framework. Both usual and windowed periodograms are obtained as the squared modulus of the minimizer of regularized least squares criteria. Then, particular attention is paid to their interpretation within the Bayesian statistical framework. Finally, the question of unsupervised hyperparameter and window selection is addressed. It is shown that maximum likelihood solution is both formally achievable and practically useful. Index Terms—Hyperparameters, penalized criterion, periodograms, quadratic regularization, spectral analysis, windowing, window selection, zeropadding. FT
doi:10.1155/2011/285130 Research Article Inverse Fourier Transform in the Gamma Coordinate System
"... which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper provides auxiliary results for our general scheme of computed tomography. In 3D parallelbeam geometry, we first demonstrate that the inverse Fourier transform in di ..."
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which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper provides auxiliary results for our general scheme of computed tomography. In 3D parallelbeam geometry, we first demonstrate that the inverse Fourier transform
Results 1  10
of
22,051