Markovian approach for 3D reconstruction of vessels from two views

Claire J. M. Pellot-Barakat; Alain Herment; Marc Sigelle; Isabelle Bloch

doi:10.1117/12.146606

23 June 1993 Markovian approach for 3D reconstruction of vessels from two views

Claire J. M. Pellot-Barakat, Alain Herment, Marc Sigelle, Isabelle Bloch

Proceedings Volume 2035, Mathematical Methods in Medical Imaging II; (1993) https://doi.org/10.1117/12.146606
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

A method to reconstruct vessel lumens, based on constrained reconstruction of serial cross- sections from two digital angiographic projections, is proposed. Each cross-section is reconstructed by a binary matrix from its two densitometric data projections, with ambiguities on the reconstruction removed by a priori knowledge. A probabilistic approach in which properties of the expected solution are described through a Markov Random Field (MRF) model was chosen to facilitate incorporation of a priori information on the vessel segment to be reconstructed. The best solution amongst all possible ones is obtained by the implementation of an optimization algorithm based on Simulated Annealing. An initial configuration consisting of the ellipse of best fit is constructed and then imposed to guarantee rapid convergence to the optimal solution. This initial configuration is then deformed to be made consistent with projection data while being constrained into a connected realistic shape. The MRF model parameters have been estimated on 2D synthetic slices, from systematic quality reconstruction measurements. The method provides a good reconstruction of complex shapes, and can be applied to single pathologic vessels as well as to branchings. The method thus far has only been validated on peripheral arteries and bifurcations.

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Claire J. M. Pellot-Barakat, Alain Herment, Marc Sigelle, and Isabelle Bloch "Markovian approach for 3D reconstruction of vessels from two views", Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993); https://doi.org/10.1117/12.146606

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KEYWORDS

3D modeling

Reconstruction algorithms

Angiography

Chemical elements

Medical imaging

Data acquisition

Data modeling

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