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8 October 1996 Three-dimensional reconstruction from incomplete Fourier spectra: an extrapolation approach
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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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Etienne P. Payot, Francoise J. Preteux, Yves L. Trousset, and Regis Guillemaud "Three-dimensional reconstruction from incomplete Fourier spectra: an extrapolation approach", Proc. SPIE 2823, Statistical and Stochastic Methods for Image Processing, (8 October 1996);

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