Abstract
3D luminal vessel geometry description and visualization are important for the diagnosis and the prognosis of heart attack and stroke. A general mathematical framework is proposed for 3D reconstruction of vessel sections from a few angiograms. Regularization is introduced by modeling the vessel boundary slices by smooth contours to get the reconstruction problem well posed. A dynamic contour approach is applied to optimize the shape of the contour according to the recorded angiograms and the internal smoothness constraints. The solution is achieved following the minimization of a nonconvex energy function assigned to the contour with a simulated annealing algorithm. Preliminary testing on noisy and truncated synthetic images produces promising results. Evaluation and validation of the method on hardware phantoms are also presented.
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