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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 `
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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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
On l1 Riesz Summability of the Inverse Fourier Integral
, 2001
"... On L(R ), d 2 N, the `1 Riesz (R; ) means of the inverse Fourier transform converge almost everywhere provided > 0. The proof uses a new representation of the `1 Riesz kernel derived from the `1 Poisson kernel. 1. ..."
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On L(R ), d 2 N, the `1 Riesz (R; ) means of the inverse Fourier transform converge almost everywhere provided > 0. The proof uses a new representation of the `1 Riesz kernel derived from the `1 Poisson kernel. 1.
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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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.
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
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
Speech Signals Enhancement Using LPC Analysis based on Inverse Fourier Methods
"... This paper, proposes a new methods for speech Signal enhancement based on spectral subtraction, Inverse Fourier Transform. We use the Linear Predicative Coding (LPC), VAD analysis, and Voice / Unvoice (V/UV) detector for noise estimation and extraction, then we compare the proposed method with the p ..."
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This paper, proposes a new methods for speech Signal enhancement based on spectral subtraction, Inverse Fourier Transform. We use the Linear Predicative Coding (LPC), VAD analysis, and Voice / Unvoice (V/UV) detector for noise estimation and extraction, then we compare the proposed method
Iterative image reconstruction using inverse Fourier rebinning for fully 3D
 PET,” IEEE Trans. Med. Imag
, 2007
"... Abstract—We describe a fast forward and back projector pair based on inverse Fourier rebinning for use in iterative image reconstruction for fully 3D positron emission tomography (PET). The projector pair is used as part of a factored system matrix that takes into account detectorpair response by ..."
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Abstract—We describe a fast forward and back projector pair based on inverse Fourier rebinning for use in iterative image reconstruction for fully 3D positron emission tomography (PET). The projector pair is used as part of a factored system matrix that takes into account detectorpair response
Results 1  10
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1,707