An improvement of iterative algebraic reconstruction technique by using bisectors: An illustration in computerized tomography

Abstract

This paper proposes the utilization of bisectors for iterative algebraic reconstruction techniques to attain better image reconstruction. We use bisector hyperplanes and the average of the multiple solutions for beam equations. We also discussed why bisector hyperplanes may improve the approximate solution for pixel intensities and how they are obtained. Then, we defined the ART procedure with bisector hyperplanes and implemented the algorithm. Through an application, we compared the solution points obtained with other ART based methods and our ART procedure. As closer solution points may be obtained at each iteration; the images formed by pixels intensities based on these solutions may have higher quality.