Summary: In Proceedings, 2002 IEEE International Symposium on Biomedical Imaging:
Macro to Nano, Washington, D.C., July 710, 2002.
DECOUPLING THE EQUATIONS
OF REGULARIZED TOMOGRAPHY
Healthcare Robotics Center
The Robotics Institutie
Carnegie Mellon University
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Pittsburgh, PA 15213
I thank Takeo Kanade for his insightful suggestions (especially on interpolation), and Branko
Jaramaz for introducing me to the metal artifact reduction problem. The NSF Advanced Compu-
tational Research program and the Heinz Endowment provided funding.
Deferring discretization can occasionally change our perspective on imag-
ing problems. To illustrate, we offer a reformulation of regularized com-
puted tomography (CT) in which the large system of coupled equations for
the unknown smoothed image is decoupled into many smaller and simpler