Model Based Iterative Reconstruction with the Tilted Abel Transform

Kyle Champley; Brian Maddox

doi:10.1364/DH.2021.DF4F.1

OSA Imaging and Applied Optics Congress 2021 (3D, COSI, DH, ISA, pcAOP)
OSA Technical Digest (Optica Publishing Group, 2021),
paper DF4F.1
•https://doi.org/10.1364/DH.2021.DF4F.1

Model Based Iterative Reconstruction with the Tilted Abel Transform

Kyle Champley and Brian Maddox

Digital Holography and Three-Dimensional Imaging 2021

Washington, DC United States
19–23 July 2021
ISBN: 978-1-943580-89-7

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Novel Diagnostic and Data Analysis (DF4F)

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K. Champley and B. Maddox, "Model Based Iterative Reconstruction with the Tilted Abel Transform," in OSA Imaging and Applied Optics Congress 2021 (3D, COSI, DH, ISA, pcAOP), H. Hua, B. Javidi, M. Martinez-Corral, O. Matoba, A. Stern, S. Thibault, T. Alieva, J. Ke, F. Willomitzer, F. Okten, P. Silveira, P. Banerjee, E. Stoykova, D. Chu, J. Park, F. Imai, C. Joo, M. Digman, D. Gardner, S. Gladysz, D. LeMaster, S. Basu, and O. Korotkova, eds., OSA Technical Digest (Optica Publishing Group, 2021), paper DF4F.1.

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Abstract

We discuss the tilted Abel Transform (special case of the X-ray Transform for objects that are cylindrically-symmetric) and its adjoint and how these can be used to develop model-based iterative reconstruction algorithms.

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