1 October 1997 Generalized support constraint for three-dimensional reconstruction from incomplete Fourier spectra
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Abstract
Many imaging systems involve a loss of information that requires the incorporation of prior knowledge in the restoration/reconstruction process. We focus on the typical case of 3D reconstruction from an incomplete set of projections. An approach based on constrained optimization is introduced. This approach provides a powerful mathematical framework for selecting a specific solution from the set of feasible solutions; this is done by minimizing some criteria depending on prior densitometric information that can be interpreted through a generalized support constraint. We propose a global optimization scheme using a deterministic relaxation algorithm based on Bregman's algorithm associated with half-quadratic minimization techniques. When used for 3D vascular reconstruction from 2D digital subtracted angiography (DSA) data, such an approach enables the reconstruction of a well-contrasted 3D vascular network in comparison with results obtained using standard algorithms.
Etienne P. Payot, Etienne P. Payot, Francoise J. Preteux, Francoise J. Preteux, Yves L. Trousset, Yves L. Trousset, Regis Guillemaud, Regis Guillemaud, } "Generalized support constraint for three-dimensional reconstruction from incomplete Fourier spectra," Journal of Electronic Imaging 6(4), (1 October 1997). https://doi.org/10.1117/12.276852 . Submission:
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