Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

Sunghwan Moon

doi:10.1155/2018/1727582

Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

Sunghwan Moon

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon-type transforms.

Original language	English
Article number	1727582
Journal	Advances in Mathematical Physics
Volume	2018
DOIs	https://doi.org/10.1155/2018/1727582
State	Published - 2018

Access to Document

10.1155/2018/1727582

Cite this

@article{e4658df0461148edab9425abd2dfbb27,

title = "Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors",

abstract = "This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon-type transforms.",

author = "Sunghwan Moon",

note = "Publisher Copyright: {\textcopyright} 2018 Sunghwan Moon.",

year = "2018",

doi = "10.1155/2018/1727582",

language = "English",

volume = "2018",

journal = "Advances in Mathematical Physics",

issn = "1687-9120",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

AU - Moon, Sunghwan

PY - 2018

Y1 - 2018

N2 - This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon-type transforms.

AB - This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon-type transforms.

UR - https://www.scopus.com/pages/publications/85050217154

U2 - 10.1155/2018/1727582

DO - 10.1155/2018/1727582

M3 - Article

AN - SCOPUS:85050217154

SN - 1687-9120

VL - 2018

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

M1 - 1727582

ER -

Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

Abstract

Access to Document

Other files and links

Fingerprint

Cite this