Inversion of the classical radon transform on Z                         n                                                                              p

Yung Duk Cho; Jong Yoon Hyun; Sunghwan Moon

doi:10.4134/BKMS.b171064

Inversion of the classical radon transform on Z ⁿ _p

Yung Duk Cho
, Jong Yoon Hyun
, Sunghwan Moon

Dongguk University
Korea Institute for Advanced Study

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

1 Scopus citations

Abstract

The Radon transform introduced by J. Radon in 1917 is the integral transform which is widely applicable to tomography. Here we study the discrete version of the Radon transform. More precisely, when C(Z ⁿ _p ) is the set of complex-valued functions on Z ⁿ _p . We completely determine the subset of C(Z ⁿ _p ) whose elements can be recovered from its Radon transform on Z ⁿ _p .

Original language	English
Pages (from-to)	1773-1781
Number of pages	9
Journal	Bulletin of the Korean Mathematical Society
Volume	55
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.b171064
State	Published - 2018

Keywords

Classical Radon transform
Inversion formula
Tomography

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10.4134/BKMS.b171064

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Cho, Y. D., Hyun, J. Y., & Moon, S. (2018). Inversion of the classical radon transform on Z ⁿ _p Bulletin of the Korean Mathematical Society, 55(6), 1773-1781. https://doi.org/10.4134/BKMS.b171064

Cho, Yung Duk ; Hyun, Jong Yoon ; Moon, Sunghwan. / Inversion of the classical radon transform on Z ⁿ _p In: Bulletin of the Korean Mathematical Society. 2018 ; Vol. 55, No. 6. pp. 1773-1781.

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Cho, YD, Hyun, JY & Moon, S 2018, ' Inversion of the classical radon transform on Z ⁿ _p ', Bulletin of the Korean Mathematical Society, vol. 55, no. 6, pp. 1773-1781. https://doi.org/10.4134/BKMS.b171064

Inversion of the classical radon transform on Z ⁿ _p . / Cho, Yung Duk; Hyun, Jong Yoon; Moon, Sunghwan.
In: Bulletin of the Korean Mathematical Society, Vol. 55, No. 6, 2018, p. 1773-1781.

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

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AU - Cho, Yung Duk

AU - Hyun, Jong Yoon

AU - Moon, Sunghwan

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N2 - The Radon transform introduced by J. Radon in 1917 is the integral transform which is widely applicable to tomography. Here we study the discrete version of the Radon transform. More precisely, when C(Z n p ) is the set of complex-valued functions on Z n p . We completely determine the subset of C(Z n p ) whose elements can be recovered from its Radon transform on Z n p .

AB - The Radon transform introduced by J. Radon in 1917 is the integral transform which is widely applicable to tomography. Here we study the discrete version of the Radon transform. More precisely, when C(Z n p ) is the set of complex-valued functions on Z n p . We completely determine the subset of C(Z n p ) whose elements can be recovered from its Radon transform on Z n p .

KW - Classical Radon transform

KW - Inversion formula

KW - Tomography

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VL - 55

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 6

ER -

Inversion of the classical radon transform on Z ⁿ _p

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