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

Fedor GoncharovMIPT - Moscow Institute of Physics and Technology [Moscow] (9 Institutskiy per., Dolgoprudny, Moscow Region, 141701 - Russia)Roman NovikovCentre de Mathématiques Appliquées de l'École polytechnique

2016en

ABI

Annotatsiya

In this work we study weighted Radon transforms in multidimensions. We\nintroduce an analog of Chang approximate inversion formula for such transforms\nand describe all weights for which this formula is exact. In addition, we\nindicate possible tomographic applications of inversion methods for weighted\nRadon transforms in 3D.\n

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Identifikatorlar

DOI: 10.32523/2306-6172-2016-4-2-23-32

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