Generalized Support Constraint for Three dimensional Reconsturction from Incomplete Fourier Spectra

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.