Results 11 to 20 of about 298 (33)

A phase-space approach to weighted Fourier extension inequalities

Forum of Mathematics, Sigma
The purpose of this paper is to expose and investigate natural phase-space formulations of two longstanding problems in the restriction theory of the Fourier transform.
Jonathan Bennett, Susana Gutiérrez, Shohei Nakamura, Itamar Oliveira   +3 more
doaj   +1 more source

A uniform reconstruction formula in integral geometry

, 2011
A general method for analytic inversion in integral geometry is proposed. All classical and some new reconstruction formulas of Radon-John type are obtained by this method.
Gelfand I M, Kunyansky L, Kunyansky L, Minkowski H, Natterer F, Palamodov V, Radon I, Semyanistyi˘ V I, V P Palamodov   +8 more
core   +1 more source

OPED reconstruction algorithm for limited angle problem

, 2008
The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems.
Tischenko, Oleg, Xu, Yuan
core   +1 more source

Application of Sharafutdinov's Ray Transform in Integrated Photoelasticity

, 2003
We explain the main concepts centered around Sharafutdinov's ray transform, its kernel, and the extent to which it can be inverted. It is shown how the ray transform emerges naturally in any attempt to reconstruct optical and stress tensors within a ...
B. Lionheart, E.G. Coker, H. Aben, H. Aben, H. Hammer, H. Kubo, H.K. Aben, H.K. Aben, M.M. Frocht, P.S. Theocaris, V.A. Sharafutdinov, Y.A. Andrienko, Y.A. Andrienko, Y.A. Andrienko   +13 more
core   +1 more source

Inversion of circular means and the wave equation on convex planar domains

, 2013
We study the problem of recovering the initial data of the two dimensional wave equation from values of its solution on the boundary $\partial \Om$ of a smooth convex bounded domain $\Om \subset \R^2$.
Agranovsky, Andersson, Bracewell, Burgholzer, Burgholzer, Dean-Ben, Fawcett, Finch, Finch, Finch, Haltmeier, Haltmeier, Haltmeier, Haltmeier, Hristova, John, Kostli, Kuchment, Kunyansky, Kunyansky, Markus Haltmeier, Natterer, Norton, Palamodov, Paltauf, Paltauf, Stefanov, Xu, Xu, Xu, Zhang   +30 more
core   +1 more source

An active curve approach for tomographic reconstruction of binary radially symmetric objects [PDF]

, 2006
This paper deals with a method of tomographic reconstruction of radially symmetric objects from a single radiograph, in order to study the behavior of shocked material.
Abraham, Isabelle, Abraham, Romain, Bergounioux, Maitine   +2 more
core   +2 more sources

On two-sided monogenic functions of axial type [PDF]

, 2016
In this paper we study two-sided (left and right) axially symmetric solutions of a generalized Cauchy-Riemann operator. We present three methods to obtain special solutions: via the Cauchy-Kowalevski extension theorem, via plane wave integrals and Funk ...
Peña, Dixan Peña, Sabadini, Irene, Sommen, Frank   +2 more
core   +2 more sources

The support theorem for the complex Radon transform of distributions

, 2003
The complex Radon transform $\hat F$ of a rapidly decreasing distribution $F\in\mathscr{O}_C^{\prime}(\mathbb{C}^n)$ is considered. A compact set $K\subset\mathbb{C}^n$ is called linearly convex if the set $ \mathbb{C}^n \setminus K$ is a union of ...
Sekerin, A. B.
core   +1 more source

On the Funk transform on compact symmetric spaces

, 2009
We prove that a function on an irreducible compact symmetric space M, which is not a sphere, is determined by its integrals over the shortest closed geodesics in M. We also prove a support theorem for the Funk transform on rank one symmetric spaces which
Klein, Sebastian, Thorbergsson, Gudlaugur, Verhoczki, Laszlo   +2 more
core  

An analog of Chang inversion formula for weighted Radon transforms in multidimensions

, 2016
In this work we study weighted Radon transforms in multidimensions. We introduce an analog of Chang approximate inversion formula for such transforms and describe all weights for which this formula is exact.
Goncharov, Fedor, Novikov, Roman
core   +1 more source