Pre-calculation of the image quality of the simultaneous iterative reconstruction technique

Holger Kunze; Wolfgang Härer; Karl Stierstorfer

doi:10.1117/12.707349

28 March 2007 Pre-calculation of the image quality of the simultaneous iterative reconstruction technique

Holger Kunze, Wolfgang Härer, Karl Stierstorfer

Proceedings Volume 6510, Medical Imaging 2007: Physics of Medical Imaging; 65105E (2007) https://doi.org/10.1117/12.707349
Event: Medical Imaging, 2007, San Diego, CA, United States

Abstract

Iterative reconstruction methods possess many advantages over analytical reconstruction methods especially if constraints can be used to regularize the reconstruction. However the main problem of iterative reconstruction algorithms is to decide when to stop the iteration. For the Simultaneous Iterative Reconstruction Technique (SIRT) without constraints we derived a mathematical formula with which the quality of the reconstruction after a given number of iterations can be calculated. The image quality is expressed here by a special filter kernel for a FBP reconstruction which creates images with the same sharpness and noise properties as SIRT. Further on the formula can be used to analyze the numerical stability of a certain implementation of SIRT. Experiments show the validity of these "iteration-equivalent"-kernels with respect to sharpness and noise properties of the reconstructed images.

Citation Download Citation

Holger Kunze, Wolfgang Härer, and Karl Stierstorfer "Pre-calculation of the image quality of the simultaneous iterative reconstruction technique", Proc. SPIE 6510, Medical Imaging 2007: Physics of Medical Imaging, 65105E (28 March 2007); https://doi.org/10.1117/12.707349

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