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The Role of Discretization in x-Ray CT Reconstruction

M. McCann, M. Unser

SIAM Conference on Imaging Science (SIS'18), Bologna, Italian Republic, June 5-8, 2018, session MS47-2.

Discretization—representing a continuous-time function or operation with a discrete-time one—is unavoidable in solving inverse problems. In X-ray computed tomography (CT) reconstruction, the classical algorithm handles discretization "at the end". Modern approaches discretize "in the middle" or "at the beginning". In this talk, I will show how the latter provides algorithms that are mathematically rigorous and implementable. I will also discuss the choice of the basis function among pixels, B-splines, box splines, Kaiser-Bessel windows, and sincs.

AUTHOR="McCann, M. and Unser, M.",
TITLE="The Role of Discretization in {x}-Ray {CT} Reconstruction",
BOOKTITLE="{SIAM} Conference on Imaging Science ({SIS'18})",
address="Bologna, Italian Republic",
month="June 5-8,",
note="session MS47-2")

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