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Proceedings Paper

Three-dimensional reconstruction from incomplete Fourier spectra: an extrapolation approach
Author(s): Etienne P. Payot; Francoise J. Preteux; Yves L. Trousset; Regis Guillemaud
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Paper Abstract

3D reconstruction from an incomplete data set is an ill- posed problem. To overcome this drawback, 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. 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 data, such an approach allows reconstructing well-contrasted 3D vascular network in comparison with results obtained by using standard algorithms.

Paper Details

Date Published: 8 October 1996
PDF: 14 pages
Proc. SPIE 2823, Statistical and Stochastic Methods for Image Processing, (8 October 1996); doi: 10.1117/12.253442
Show Author Affiliations
Etienne P. Payot, Institut National des Telecommunications (France)
Francoise J. Preteux, Institut National des Telecommunications (France)
Yves L. Trousset, GE Medical Systems (France)
Regis Guillemaud, CEA-LETI (France)

Published in SPIE Proceedings Vol. 2823:
Statistical and Stochastic Methods for Image Processing
Edward R. Dougherty; Francoise J. Preteux; Jennifer L. Davidson, Editor(s)

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