Empirical Proofs Walk Through of the Weight Matrix Definition

 

Samples

 

 
Figure 1: (a) Lambda, (b) Attenuation map, (c) Sinogram, (d) Reconstruction.

 

Reconstruction

Figure 1 shows the various types of images likely to be used with the reconstruction program.

Table I shows a sample reconstruction log file.

 

 

/--------------------------------------------------------------\

|       Model Log (v5.200) : Mon Oct 27 12:28:24 1997          |

\--------------------------------------------------------------/

Algorithm used                : OSEM

Time slices used              : 1

Sinogram Filename             : cmp.s (64 64 1)

Lambda Filename               : cmpos.r (64 64 1)

Starting Image Filename       : AUTO

Attenuation                   : gry.l (1 slice, maxval 0.041)

Transmission Sinogram Scaling : none

Maximum A Postori (OSL)       : none

Ordered Subset Pattern        : +8 (8 subsets)

Sweep degrees                 : 360 Counter Clockwise

Sweep start angle (degrees)   : 0

Radii of projection x, y (mm) : 200.000 200.000

Camera Center Offset x, y (mm): 0.000 0.000

Width slice, bin, pixel (mm)  : 6.250, 6.250, 6.250

Collimator Model              : 1.840, no depth dependance

Fan Beam focus in mm          : not used

Maximum iteration             : 4

Projection bins, slices       : 3, 1

Directory for setup files     : /home/ecfs/rlarkin/bin/OSEMPackage

Set up time                   : 4.6 seconds

----------------------------------------------------------------

Iter 0001    CSQ:      4754.76    MSE:      21.5057

Iter 0002    CSQ:      4079.23    MSE:      19.4298

Iter 0003    CSQ:      3822.07    MSE:      21.3602

Iter 0004    CSQ:      3675.66    MSE:      24.6670

Total 5.3 seconds

Average/iteration 1.3 seconds

Table i: Sample log file produced by R program.