Adaptive Markovian model for 3D x-ray vascular reconstruction
Etienne P. Payot, Francoise J. Preteux, R. Guillemaud, Yves L. Trousset · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1995
The Bayesian approach combined with the Markov random field approach provide a powerful and consistent mathematical framework for taking into account a priori knowledge and for regularizing ill-posed problems. Applied to 3D x-ray vascular reconstruction, such a combining approach requires a 3D object model describing the vascular tree. To take into account characteristic features of blood vessels, the proposed model performs a sort of shape analysis in order to estimate non-stationary parameters of the Markovian model. The global energy function is then expressed as a weighted combination of an adaptive smoothing potential which favors smoothing along the vessel direction; an enhancing potential which increases the contrast of small vessels; and a data-dependent term based on the difference between reprojection of the 3D reconstructed object and observed projections.