• Dr.Summiya Parveen
• Dr.Amarnath
• Dr. Mohit Gupta

In this paper we introduced the Modified Simultaneous Algebraic Reconstruction Technique (MSART), in this we tried to modify the reconstruction in single iteration with minimizing the noise and also simultaneously tried to accelerate the algorithm in the sense that it reaches faster to the solution. Heuristically it is shown in this paper it will converge to actual solution and since in a single iteration we are combining M (number of rays in projection data) iteration of simple ART, which saves many calculations required, if those iterations were done separately, thus convergence is faster. In case of simple ART in every iteration, calculation of projection data requires larger storage space with extra calculations, while in this modified method, where we are combining the iterations, the extra large storage space is not required. Moreover we are modifying the projection data for each ray simultaneously, thus making the convergence faster with no storage space required for storing projection data in every iteration. But, still we have shown these properties heuristically, and nor proved them mathematically, specially the convergence. Thus in this paper , we will implement the algorithm on some test images with calculated projection data. The convergence will be shown with respect to the errors based on discrepancy measures defined in [3,4,6] . First we will give test patterns and their projection data, next our algorithm and the errors considered for stopping rule and for convergence will be given. In last section the test results and output will be shown.

Reconstruction techniques, Algebraic Reconstruction Method, Convolution Back Projection Method, MSART , Tomography, Image processing

"IMPLEMENTATION OF MODIFIED SIMULTANEOUS ALGEBRAIC RECONSTRUCTION TECHNIQUE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 4, page no.1018-1024, April-2018, Available :http://www.jetir.org/papers/JETIR1804204.pdf

"IMPLEMENTATION OF MODIFIED SIMULTANEOUS ALGEBRAIC RECONSTRUCTION TECHNIQUE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 4, page no. pp1018-1024, April-2018, Available at : http://www.jetir.org/papers/JETIR1804204.pdf