An analog of Chang inversion formula for weighted Radon transforms in multidimensions1

F. O. Goncharov; R. G. Novikov

An analog of Chang inversion formula for weighted Radon transforms in multidimensions1

F. O. Goncharov
, R. G. Novikov

Moscow Institute of Physics and Technology
Institute for Information Transmission Problems (RAS)
IEPT RAS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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. In addition, we indicate possible tomographical applications of inversion methods for weighted Radon transforms in 3D.

langue originale	Anglais
Pages (de - à)	23-32
Nombre de pages	10
journal	Eurasian Journal of Mathematical and Computer Applications
Volume	4
Numéro de publication	2
état	Publié - 1 janv. 2016

Contient cette citation

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title = "An analog of Chang inversion formula for weighted Radon transforms in multidimensions1",

abstract = "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. In addition, we indicate possible tomographical applications of inversion methods for weighted Radon transforms in 3D.",

keywords = "Inversion formulas, Weighted radon transforms",

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year = "2016",

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N2 - 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. In addition, we indicate possible tomographical applications of inversion methods for weighted Radon transforms in 3D.

AB - 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. In addition, we indicate possible tomographical applications of inversion methods for weighted Radon transforms in 3D.

KW - Inversion formulas

KW - Weighted radon transforms

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EP - 32

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

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An analog of Chang inversion formula for weighted Radon transforms in multidimensions1

Résumé

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