BROWSE

Related Researcher

Author's Photo

UNIST, Researcher
UNIST
Research Interests
  • All Subjects

ITEM VIEW & DOWNLOAD

On the determination of a function from an elliptical Radon transform

Cited 0 times inthomson ciCited 0 times inthomson ci
Title
On the determination of a function from an elliptical Radon transform
Author
Moon, Sunghwan
Issue Date
2014-08
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.416, no.2, pp.724 - 734
Abstract
In recent years, Radon-type transforms that integrate functions over various sets of ellipses/ellipsoids have been considered in synthetic aperture radar, ultrasound reflection tomography, and radio tomography. In this paper, we consider the transform that integrates a given function in Rn over a set of solid ellipses (when n = 2) or solid ellipsoids of rotation (when n ≥ 3) with a fixed eccentricity and foci restricted to a hyperplane. Inversion formulas are obtained for appropriate classes of functions that are even with respect to the hyperplane. Stability estimates and local uniqueness results are also provided.
URI
https://scholarworks.unist.ac.kr/handle/201301/3868
URL
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84895916987
DOI
10.1016/j.jmaa.2014.02.058
ISSN
0022-247X
Appears in Collections:
ETC_Journal Papers
Files in This Item:
There are no files associated with this item.

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show full item record

qrcode

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU