Two-Dimensional Tomography and Fourier Analysis
arXiv:2604.185414.7h-index: 36
AI Analysis
Provides mathematical foundations for image reconstruction in specific tomographic modalities, but is incremental as it applies known Fourier techniques to new transforms.
The paper derives inversion formulas for the divergent beam transform and the V-line transform using Fourier analysis, with the V-line transform relevant to single-scattering optical tomography.
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.