Dynamic Emission Tomography  —  Regularization and Inversion

J. Maeght, D. Noll, and S. Boyd

Conference Proceedings of Canadian Mathematical Society, 27:211-233, 2000

The problem of emission tomography, inverting the attenuated Radon transform, is moderately ill-posed if the unknown emission source is static. Here we consider the case where the emission source is dynamic due to the movement of molecules after metabolism. Inversion now requires a model of the underlying dynamics and presents a seriously ill-posed inverse problem. We present a regularization approach and a numerical experiment to validate our method.