--- /dev/null
+ snark14.s170426 - A PICTURE RECONSTRUCTION PROGRAM
+
+
+ <*> EXAMPLE 6
+
+ <*> STAR PATTERN WITH 24 DIVERGENT PROJECTIONS
+
+ <*> RECONSTRUCTION BY ALL APPROPRIATE ALGORITHMS WITH DEFAULT
+
+ <*> OR EASY OPTIONS.
+
+ <*>
+
+ <#> CREATE
+
+ EXAMPLE 6 STAR PATTERN WITH 24 DIVERGENT PROJECTIONS
+
+
+ <#> SPECTRUM MONOCHROMATIC 10
+ energy spectrum is monochromatic at energy level 10
+
+
+ <#> OBJECTS
+ description of objects
+ density at levels
+ numb type x-coord y-coord x-length y-length angle av dens 10
+
+ 1 sect 0.0000 -24.0000 6.0000 24.0000 0.0000 1.0000 1.0000
+
+ 2 sect 21.0000 -12.0000 6.0000 24.0000 60.0000 1.0000 1.0000
+
+ 3 sect 21.0000 12.0000 6.0000 24.0000 120.0000 1.0000 1.0000
+
+ 4 sect 0.0000 24.0000 6.0000 24.0000 180.0000 1.0000 1.0000
+
+ 5 sect -21.0000 12.0000 6.0000 24.0000 240.0000 1.0000 1.0000
+
+ 6 sect -21.0000 -12.0000 6.0000 24.0000 300.0000 1.0000 1.0000
+
+ scale factor multiplying object densities 1.0000
+
+ seed set to 0
+ inhomogeneity set to 0.0000
+
+ <#> PHANTOM AVERAGE 5
+
+ this run will generate a phantom
+ density in each pixel is obtained as the average of 5 x 5 points
+
+
+ <#> 25 PIXELS OF SIZE 2.0
+ picture size 25 x 25, pixel size 2.0000
+
+
+ <#> RAYSUM AVERAGE 1
+
+ this run will generate projection data
+ projection data are calculated by dividing each ray interval into 1 substrips
+
+ with aperture (substrip) weights 1
+
+
+ <#> GEOMETRY
+
+
+ <#> DIVERGENT ARC 40.0 40.0
+ rays are divergent from point sources
+ source to origin distance 40.0000
+ the detectors lie on an arc with source to detector distance = 40.0000
+
+
+ <#> RAYS PROGRAM 25 2.0 DETECTOR SPACING 2.0
+ number of rays per projection 45
+ at detector spacing 2.0000
+
+
+ <#> ANGLES 24 EQUAL SPACING
+ total number of projections 24
+
+ projection angles 0.0000 15.0000 30.0000 45.0000 60.0000 75.0000 90.0000 105.0000 120.0000 135.0000
+ 150.0000 165.0000 180.0000 195.0000 210.0000 225.0000 240.0000 255.0000 270.0000 285.0000
+ 300.0000 315.0000 330.0000 345.0000
+
+
+ <#> MEASUREMENT PERFECT
+ projection data are noiseless
+
+
+ <#> BACKGROUND 0.0
+ at levels
+ 10
+ background absorption 0.0000
+
+
+ <#> RUN
+ 0.000 seconds phantom creation
+ 0.000 seconds projection data creation
+ 0.000 seconds used for processing command crea
+
+
+ <*>
+
+ <#> PICTURE TEST
+
+ EXAMPLE 6 STAR PATTERN WITH 24 DIVERGENT PROJECTIONS
+
+
+ <#> spec mono 10
+ energy spectrum is monochromatic at energy level 10
+
+
+ <#> obje
+ description of objects
+ density at levels
+ numb type x-coord y-coord x-length y-length angle av dens 10
+
+ 1 sect 0.0000 -24.0000 6.0000 24.0000 0.0000 1.0000 1.0000
+
+ 2 sect 21.0000 -12.0000 6.0000 24.0000 60.0000 1.0000 1.0000
+
+ 3 sect 21.0000 12.0000 6.0000 24.0000 120.0000 1.0000 1.0000
+
+ 4 sect 0.0000 24.0000 6.0000 24.0000 180.0000 1.0000 1.0000
+
+ 5 sect -21.0000 12.0000 6.0000 24.0000 240.0000 1.0000 1.0000
+
+ 6 sect -21.0000 -12.0000 6.0000 24.0000 300.0000 1.0000 1.0000
+
+ scale factor multiplying object densities 1.0000
+
+ seed set to 0
+ inhomogeneity set to 0.0000
+
+ <#> phan aver 5
+
+ density in each pixel is obtained as the average of 5 x 5 points
+
+
+ <#> pixe 25 size 2.0000
+ picture size 25 x 25, pixel size 2.0000
+
+ test picture read
+ EXAMPLE 6 STAR PATTERN WITH 24 DIVERGENT PROJECTIONS
+ 0.002 seconds used for processing command pict
+
+
+ <*>
+
+ <#> PROJECTION REAL
+
+ EXAMPLE 6 STAR PATTERN WITH 24 DIVERGENT PROJECTIONS
+
+
+ <#> spec mono 10
+ energy spectrum is monochromatic at energy level 10
+
+
+ <#> obje
+ description of objects
+ density at levels
+ numb type x-coord y-coord x-length y-length angle av dens 10
+
+ 1 sect 0.0000 -24.0000 6.0000 24.0000 0.0000 1.0000 1.0000
+
+ 2 sect 21.0000 -12.0000 6.0000 24.0000 60.0000 1.0000 1.0000
+
+ 3 sect 21.0000 12.0000 6.0000 24.0000 120.0000 1.0000 1.0000
+
+ 4 sect 0.0000 24.0000 6.0000 24.0000 180.0000 1.0000 1.0000
+
+ 5 sect -21.0000 12.0000 6.0000 24.0000 240.0000 1.0000 1.0000
+
+ 6 sect -21.0000 -12.0000 6.0000 24.0000 300.0000 1.0000 1.0000
+
+ scale factor multiplying object densities 1.0000
+
+ seed set to 0
+ inhomogeneity set to 0.0000
+
+ <#> rays aver 1
+
+ projection data are calculated by dividing each ray interval into 1 substrips
+
+ with aperture (substrip) weights 1
+
+
+ <#> geom
+
+
+ <#> dive arc source at 40.0000 det dist 40.0000
+ rays are divergent from point sources
+ source to origin distance 40.0000
+ the detectors lie on an arc with source to detector distance = 40.0000
+
+
+ <#> rays user 45 spacing 2.0000
+ number of rays per projection 45
+ snark computed number of rays 45
+ at detector spacing 2.0000
+
+
+ <#> angl 24
+ total number of projections 24
+
+
+ projection angles 0.0000 15.0000 30.0000 45.0000 60.0000 75.0000 90.0000 105.0000 120.0000 135.0000
+ 150.0000 165.0000 180.0000 195.0000 210.0000 225.0000 240.0000 255.0000 270.0000 285.0000
+ 300.0000 315.0000 330.0000 345.0000
+
+
+ <#> meas perf
+ projection data are noiseless
+
+
+ <#> back 0.0000
+ at levels
+ 10
+ background absorption 0.0000
+
+ estimate of totlen = 32578.803295
+ estimate of totden = 11270.139500
+ estimate of average density = 0.3459
+ projection data read
+ EXAMPLE 6 STAR PATTERN WITH 24 DIVERGENT PROJECTIONS
+ 0.000 seconds used for processing command proj
+
+
+ <*>
+
+ <#> EXECUTE DCONV
+
+ EXAMPLE 6A DIVERGENT BEAM CONVOLUTION WITH BANDLIMITING FILTER
+
+ <#> 2 1 25 1.0 0
+ 2 point lagrange interpolation
+ one out of every 1 projection(s) used for reconstruction
+ 25 points used on each side of convolution
+ pre-smoothing weight on center ray = 1.0000
+ pre-smoothing weight on side rays = 0.0000
+ accurate back-projection
+
+ <#> BANDLIMITING
+ band-limiting filter
+ total time for obtaining smoothed projection data was 0.000
+ total time for convoluting projection data was 0.000
+ total time for back-projecting was 0.000
+ algorithm executed in iteration 1
+ 0.000 seconds for the execution of the algorithm
+ reconstruction completed after iteration 1
+ 0.000 seconds for this iteration
+ 0.002 seconds used for processing command exec
+
+
+ <*>
+
+ <#> STOP TERMINATION VARIANCE = 0.1
+ termination test vari
+ epsilon = 0.100000
+ 0.000 seconds used for processing command stop
+
+
+ <*>
+
+ <#> EXECUTE ART
+
+ EXAMPLE 6C ART WITH NO TRICKS
+
+ <#> ART3
+ art3 method
+ relaxation parameter is 1.0
+ norm is 2
+ tolerance is 0.0
+
+ <#> CONSTRAINT ART2
+ constraint art2 way
+ relaxation constraints with cr = 1.0
+ picture is not normalized
+ 1080 rays are used for each iteration
+ algorithm executed in iteration 1
+ 0.000 seconds for the execution of the algorithm
+ iteration 1 completed
+ 0.000 seconds for this iteration
+ algorithm executed in iteration 2
+ 0.000 seconds for the execution of the algorithm
+ iterative process stops at iteration 2
+ the change in variance is less than 0.041353 of the variance
+ reconstruction completed after iteration 2
+ 0.000 seconds for this iteration
+ 0.000 seconds for all iterations
+ 0.002 seconds used for processing command exec
+
+
+ <*>
+
+ <#> EXECUTE MART
+
+ EXAMPLE 6D MULTIPLICATIVE ART A LA LENT
+
+ <#> METHOD LENT 0 1.0 0.0
+ multiplicative art version lent
+ no of rays used in each iteration 1080
+ underrelaxation factor 1.00000
+ all projection data with values less than 1.0000000000e-20 are ignored
+ reconstruction not normalized
+ entropy functional not calculated
+ algorithm executed in iteration 1
+ 0.001 seconds for the execution of the algorithm
+ iteration 1 completed
+ 0.001 seconds for this iteration
+ algorithm executed in iteration 2
+ 0.001 seconds for the execution of the algorithm
+ iterative process stops at iteration 2
+ the change in variance is less than 0.026757 of the variance
+ reconstruction completed after iteration 2
+ 0.001 seconds for this iteration
+ 0.001 seconds for all iterations
+ 0.002 seconds used for processing command exec
+
+
+ <*>
+
+ <#> EXECUTE QUADRATIC
+
+ EXAMPLE 6E OPTIMIZATION OF LEAST SQUARES FUNCTIONAL USING CONJUGATE GRADIENT
+
+ <#> 3 3 1 0 1 0.1 0.0 0.0
+
+ <#> 1 1 1 0 0 0 1.0 0.1 0
+ the conjugate gradient algorithm
+
+ direct gradient computation
+ =================================
+ algorithm executed in iteration 1
+ 0.001 seconds for the execution of the algorithm
+ iteration 1 completed
+ 0.001 seconds for this iteration
+ algorithm executed in iteration 2
+ 0.002 seconds for the execution of the algorithm
+ iteration 2 completed
+ 0.002 seconds for this iteration
+ algorithm executed in iteration 3
+ 0.001 seconds for the execution of the algorithm
+ iteration 3 completed
+ 0.001 seconds for this iteration
+ algorithm executed in iteration 4
+ 0.001 seconds for the execution of the algorithm
+ iteration 4 completed
+ 0.001 seconds for this iteration
+ algorithm executed in iteration 5
+ 0.002 seconds for the execution of the algorithm
+ iterative process stops at iteration 5
+ the change in variance is less than 0.046725 of the variance
+ reconstruction completed after iteration 5
+ 0.002 seconds for this iteration
+ 0.005 seconds for all iterations
+ 0.006 seconds used for processing command exec
+
+
+ <*>
+
+ <#> EVALUATE
+
+ EXAMPLE 6 RECONSTRUCTION OF STAR PATTERN FROM DIVERGENT PROJECTIONS
+
+ <#> WHOLEPIC
+ Region cx cy u v ang t1 t2
+
+ wholepic -1e+20 1e+20
+
+ iterations 1 2 3 4 5 6 7 8 9 10
+ 11 12 13
+ last iteration
+
+ 0.002 seconds used for processing command eval
+
+
+ <*>
+
+ <#> END
projects / snark14.git / blobdiff