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Research PaperResearchia:202604.21029

Two-Dimensional Tomography and Fourier Analysis

Andre Mas

Abstract

We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by deriving inversion formulas for the divergent beam transform and the V-line transform, the latter arising in contemporary models of single-scattering optical tomography. --- Source: arXiv:2604.18541v1 - http://arxiv.org/abs/2604.18541v1 PDF: https://arxiv.org/pdf/2604.18541v1 Original Link: http://arxiv.org/abs/2604.18541v1...

Submitted: April 21, 2026Subjects: Mathematics; Mathematics

Description / Details

We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by deriving inversion formulas for the divergent beam transform and the V-line transform, the latter arising in contemporary models of single-scattering optical tomography.


Source: arXiv:2604.18541v1 - http://arxiv.org/abs/2604.18541v1 PDF: https://arxiv.org/pdf/2604.18541v1 Original Link: http://arxiv.org/abs/2604.18541v1

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Date:
Apr 21, 2026
Topic:
Mathematics
Area:
Mathematics
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