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ABSTRACT: The augmented Lagrangian method was applied to emission CT image reconstruction to attain the satisfactory elimination of negative pixels using a modified form of the original nonnegativity constraints. A penalty function was included in the augmented Lagrangian method to suppress image noise due to statistical noise in the projection data. A slight change in the original constraint form achieved almost complete nonnegativity without loss in the closeness of reconstruction to the original image.
Igaku butsuri: Nihon Igaku Butsuri Gakkai kikanshi = Japanese journal of medical physics: an official journal of Japan Society of Medical Physics 02/2001; 21(3):157-173.