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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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

- M. Weimann, Martin Weimann
- 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

- Mark A. Abramson, Thomas J. Asaki, John E. Dennis, Kevin R. O'Reilly, Rachael L. Pingel
- SIAM J. Imaging Sciences
- 2008

This paper introduces a new approach to the problem of quantitatively reconstructing cylindrically symmetric objects from… (More)

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2008

2008

- C.D. Gavrila, Ion Gruia
- 2008 IEEE 35th International Conference on Plasma…
- 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

- W Martin
- 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

- Violeta Kravcenkiene, Algiment Aleksa, +4 authors R. Palevičius
- 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

- Thomas J. Asaki
- 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

- Marcel de Jeu
- 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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