Anderson ART

Anderson and Kak [99] have proposed a variation to the ART algorithm. This algorithm is abbreviated as SART (Simultaneous Algebraic Reconstruction Technique). The method of implementing the correction is similar to ART1. The only difference this algorithm has from ART 1is in the calculation of correction for each cell The weight factor used here is the exact intersection of a ray with the concerned cell. In contrast, ART1 uses the average correction for all the cells. This algorithm will be referred to as ART4. The individual steps are:
Calculate the total value of weight function along each ray as:
start:1 For each projection angle  
start: 2 For each ray
start: 3 For each cell

.

close: 3
close: 2
close: 1
start: 4 start iterations
start: 5 For each projection angle
start: 6 For each ray
Compute the numerical projection (Equation21)
close: 6
start: 7 For each ray
Calculate the correction as:

start:8 For each cell
If non-zero then:

where is a relaxation factor.
close: 8
close: 7
close: 5
Check for convergence as:
If

STOP
Else: continue
close: 4