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Journal of Electronic Imaging

Generalized support constraint for three-dimensional reconstruction from incomplete Fourier spectra
Author(s): Etienne P. Payot; Francoise J. Preteux; Yves L. Trousset; Regis Guillemaud
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Paper 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.

Paper Details

Date Published: 1 October 1997
PDF: 13 pages
J. Electron. Imaging. 6(4) doi: 10.1117/12.276852
Published in: Journal of Electronic Imaging Volume 6, Issue 4
Show Author Affiliations
Etienne P. Payot, Inst. National des Telecom., Ctr. d'Etudes Nucleaires de Grenoble, and GE Medical Systems (France)
Francoise J. Preteux, Institut National des Telecommunications (France)
Yves L. Trousset, GEMS, SA (France)
Regis Guillemaud, Ctr. d'Etudes Nucleaires de Grenoble (France)


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