Abel transform

In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or… (More)
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Topic mentions per year

Topic mentions per year

1989-2017
024619892017

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2017
2017
We study integrals of the type ∫ t 0 φ(s)dLs, where φ is a positive locally bounded Borel function and Lt denotes the local time… (More)
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2009
2009
— We extend the usual projective Abel-Radon transform to the larger context of a smooth complete toric variety X. We define and… (More)
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2008
2008
This paper introduces a new approach to the problem of quantitatively reconstructing cylindrically symmetric objects from… (More)
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2008
2008
Summary form only given. The purpose of this paper is to determine the radial distribution of the emission coefficient from the… (More)
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2007
2007
We extend the usual projective Abel-Radon transform to the larger context of a smooth complete toric variety X. We define and… (More)
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2006
2006
Numerical implementation of the Abel transform for the construction of digital fluid holographic images is analyzed in this paper… (More)
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2005
2005
Abstract In the case of radiography of a cylindrically symmetric object, the Abel transform is useful for describing the… (More)
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2005
2005
In this paper we prove some recent results on the three transforms in the title and discuss their relationships to older results… (More)
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Highly Cited
2002
Highly Cited
2002
In this article we present a new method for reconstructing three-dimensional ~3D! images with cylindrical symmetry from their two… (More)
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2001
2001
We conjecture a geometrical form of the Paley–Wiener theorem for the Dunkl transform and prove three instances thereof, by using… (More)
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