--- /dev/null
+ snark14.s170426 - A PICTURE RECONSTRUCTION PROGRAM
+
+
+ <*> ******** EXAMPLE 8
+
+ <*> RECONSTRUCTION OF HEAD PHANTOM USING LINOGRAM AND FILTERED
+
+ <*> BACKPROJECTION METHODS. SINC FILTER FOR LINOGRAM AND COSINE
+
+ <*> FILTER FOR FBP.
+
+ <*>
+
+ <#> create
+
+ EXAMPLE 8 LINOGRAM RECONSTRUCTION
+
+
+ <#> spectrum monochromatic 75
+ energy spectrum is monochromatic at energy level 75
+
+
+ <#> objects cx cy u v ang den
+ description of objects
+ density at levels
+ numb type x-coord y-coord x-length y-length angle av dens 75
+
+ 1 elip 0.0000 0.0000 8.6250 6.4687 90.0000 0.4160 0.4160
+
+ 2 elip 0.0000 0.0000 7.8750 5.7187 90.0000 -0.2060 -0.2060
+
+ 3 elip 0.0000 1.5000 0.3750 0.3000 90.0000 -0.0030 -0.0030
+
+ 4 elip 0.6750 -0.7500 0.2250 0.1500 140.0000 0.0100 0.0100
+
+ 5 elip 0.7500 1.5000 0.3750 0.2250 50.0000 0.0030 0.0030
+
+ 6 segm 1.3750 -7.5000 1.1000 0.6250 19.2000 -0.2040 -0.2040
+
+ 7 segm 1.3750 -7.5000 1.1000 4.3200 19.2100 0.2040 0.2040
+
+ 8 segm 0.0000 -2.2500 1.1250 0.3750 0.0000 -0.0030 -0.0030
+
+ 9 segm 0.0000 -2.2500 1.1250 3.0000 0.0000 0.0030 0.0030
+
+ 10 segm -1.0000 3.7500 1.0000 0.5000 135.0000 -0.0030 -0.0030
+
+ 11 segm -1.0000 3.7500 1.0000 3.0000 135.0000 0.0030 0.0030
+
+ 12 segm 1.0000 3.7500 1.0000 0.5000 225.0000 -0.0030 -0.0030
+
+ 13 segm 1.0000 3.7500 1.0000 3.0000 225.0000 0.0030 0.0030
+
+ 14 tria 5.0250 3.7500 1.1250 0.5000 110.7500 0.2060 0.2060
+
+ 15 tria -5.0250 3.7500 1.1250 0.9000 -110.7500 0.2060 0.2060
+
+ 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
+
+
+ <#> 115 0.1504
+ picture size 115 x 115, pixel size 0.1504
+
+
+ <#> 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
+
+
+ <#> linogram
+ rays are parallel with variable spacing between rays
+ data collected along lines
+
+
+ number of rays per projection 231
+ at detector spacing 0.1504
+
+ total number of projections 462
+ projection angles 45.1243 45.3745 45.6268 45.8814 46.1382 46.3972 46.6584 46.9220 47.1878 47.4559
+ 47.7263 47.9991 48.2742 48.5517 48.8316 49.1140 49.3987 49.6859 49.9756 50.2677
+ 50.5623 50.8595 51.1592 51.4614 51.7662 52.0735 52.3835 52.6961 53.0112 53.3290
+ 53.6495 53.9726 54.2984 54.6269 54.9581 55.2920 55.6285 55.9679 56.3099 56.6547
+ 57.0023 57.3526 57.7057 58.0616 58.4202 58.7816 59.1458 59.5128 59.8826 60.2551
+ 60.6305 61.0086 61.3895 61.7733 62.1597 62.5490 62.9410 63.3358 63.7334 64.1336
+ 64.5367 64.9424 65.3508 65.7619 66.1757 66.5922 67.0113 67.4330 67.8573 68.2842
+ 68.7136 69.1455 69.5800 70.0169 70.4562 70.8980 71.3421 71.7886 72.2373 72.6884
+ 73.1416 73.5970 74.0546 74.5143 74.9760 75.4397 75.9054 76.3730 76.8425 77.3137
+ 77.7867 78.2614 78.7378 79.2157 79.6952 80.1761 80.6584 81.1420 81.6270 82.1131
+ 82.6004 83.0888 83.5782 84.0685 84.5597 85.0517 85.5444 86.0378 86.5318 87.0263
+ 87.5212 88.0165 88.5121 89.0080 89.5039 90.0000 90.4961 90.9920 91.4879 91.9835
+ 92.4788 92.9737 93.4682 93.9622 94.4556 94.9483 95.4403 95.9315 96.4218 96.9112
+ 97.3996 97.8869 98.3730 98.8580 99.3416 99.8239 100.3048 100.7843 101.2622 101.7386
+ 102.2133 102.6863 103.1575 103.6270 104.0946 104.5603 105.0240 105.4857 105.9454 106.4030
+ 106.8584 107.3116 107.7627 108.2114 108.6579 109.1020 109.5438 109.9831 110.4200 110.8545
+ 111.2864 111.7158 112.1427 112.5670 112.9887 113.4078 113.8243 114.2381 114.6492 115.0576
+ 115.4633 115.8664 116.2666 116.6642 117.0590 117.4510 117.8403 118.2267 118.6105 118.9914
+ 119.3695 119.7449 120.1174 120.4872 120.8542 121.2184 121.5798 121.9384 122.2943 122.6474
+ 122.9977 123.3453 123.6901 124.0321 124.3715 124.7080 125.0419 125.3731 125.7016 126.0274
+ 126.3505 126.6710 126.9888 127.3039 127.6165 127.9265 128.2338 128.5386 128.8408 129.1405
+ 129.4377 129.7323 130.0244 130.3141 130.6013 130.8860 131.1684 131.4483 131.7258 132.0009
+ 132.2737 132.5441 132.8122 133.0780 133.3416 133.6028 133.8618 134.1186 134.3732 134.6255
+ 134.8757 135.1243 135.3745 135.6268 135.8814 136.1382 136.3972 136.6584 136.9220 137.1878
+ 137.4559 137.7263 137.9991 138.2742 138.5517 138.8316 139.1140 139.3987 139.6859 139.9756
+ 140.2677 140.5623 140.8595 141.1592 141.4614 141.7662 142.0735 142.3835 142.6961 143.0112
+ 143.3290 143.6495 143.9726 144.2984 144.6269 144.9581 145.2920 145.6285 145.9679 146.3099
+ 146.6547 147.0023 147.3526 147.7057 148.0616 148.4202 148.7816 149.1458 149.5128 149.8826
+ 150.2551 150.6305 151.0086 151.3895 151.7733 152.1597 152.5490 152.9410 153.3358 153.7334
+ 154.1336 154.5367 154.9424 155.3508 155.7619 156.1757 156.5922 157.0113 157.4330 157.8573
+ 158.2842 158.7136 159.1455 159.5800 160.0169 160.4562 160.8980 161.3421 161.7886 162.2373
+ 162.6884 163.1416 163.5970 164.0546 164.5143 164.9760 165.4397 165.9054 166.3730 166.8425
+ 167.3137 167.7867 168.2614 168.7378 169.2157 169.6952 170.1761 170.6584 171.1420 171.6270
+ 172.1131 172.6004 173.0888 173.5782 174.0685 174.5597 175.0517 175.5444 176.0378 176.5318
+ 177.0263 177.5212 178.0165 178.5121 179.0080 179.5039 180.0000 180.4961 180.9920 181.4879
+ 181.9835 182.4788 182.9737 183.4682 183.9622 184.4556 184.9483 185.4403 185.9315 186.4218
+ 186.9112 187.3996 187.8869 188.3730 188.8580 189.3416 189.8239 190.3048 190.7843 191.2622
+ 191.7386 192.2133 192.6863 193.1575 193.6270 194.0946 194.5603 195.0240 195.4857 195.9454
+ 196.4030 196.8584 197.3116 197.7627 198.2114 198.6579 199.1020 199.5438 199.9831 200.4200
+ 200.8545 201.2864 201.7158 202.1427 202.5670 202.9887 203.4078 203.8243 204.2381 204.6492
+ 205.0576 205.4633 205.8664 206.2666 206.6642 207.0590 207.4510 207.8403 208.2267 208.6105
+ 208.9914 209.3695 209.7449 210.1174 210.4872 210.8542 211.2184 211.5798 211.9384 212.2943
+ 212.6474 212.9977 213.3453 213.6901 214.0321 214.3715 214.7080 215.0419 215.3731 215.7016
+ 216.0274 216.3505 216.6710 216.9888 217.3039 217.6165 217.9265 218.2338 218.5386 218.8408
+ 219.1405 219.4377 219.7323 220.0244 220.3141 220.6013 220.8860 221.1684 221.4483 221.7258
+ 222.0009 222.2737 222.5441 222.8122 223.0780 223.3416 223.6028 223.8618 224.1186 224.3732
+ 224.6255 224.8757
+
+
+ <#> measurement perfect
+ projection data are noiseless
+
+
+ <#> background absorption is 0.0
+ at levels
+ 75
+ background absorption 0.0000
+
+
+ <#> run
+ 0.024 seconds phantom creation
+ 0.109 seconds projection data creation
+ 0.135 seconds used for processing command crea
+
+
+ <#> picture test
+
+ EXAMPLE 8 LINOGRAM RECONSTRUCTION
+
+
+ <#> spec mono 75
+ energy spectrum is monochromatic at energy level 75
+
+
+ <#> obje
+ description of objects
+ density at levels
+ numb type x-coord y-coord x-length y-length angle av dens 75
+
+ 1 elip 0.0000 0.0000 8.6250 6.4687 90.0000 0.4160 0.4160
+
+ 2 elip 0.0000 0.0000 7.8750 5.7187 90.0000 -0.2060 -0.2060
+
+ 3 elip 0.0000 1.5000 0.3750 0.3000 90.0000 -0.0030 -0.0030
+
+ 4 elip 0.6750 -0.7500 0.2250 0.1500 140.0000 0.0100 0.0100
+
+ 5 elip 0.7500 1.5000 0.3750 0.2250 50.0000 0.0030 0.0030
+
+ 6 segm 1.3750 -7.5000 1.1000 0.6250 19.2000 -0.2040 -0.2040
+
+ 7 segm 1.3750 -7.5000 1.1000 4.3200 19.2100 0.2040 0.2040
+
+ 8 segm 0.0000 -2.2500 1.1250 0.3750 0.0000 -0.0030 -0.0030
+
+ 9 segm 0.0000 -2.2500 1.1250 3.0000 0.0000 0.0030 0.0030
+
+ 10 segm -1.0000 3.7500 1.0000 0.5000 135.0000 -0.0030 -0.0030
+
+ 11 segm -1.0000 3.7500 1.0000 3.0000 135.0000 0.0030 0.0030
+
+ 12 segm 1.0000 3.7500 1.0000 0.5000 225.0000 -0.0030 -0.0030
+
+ 13 segm 1.0000 3.7500 1.0000 3.0000 225.0000 0.0030 0.0030
+
+ 14 tria 5.0250 3.7500 1.1250 0.5000 110.7500 0.2060 0.2060
+
+ 15 tria -5.0250 3.7500 1.1250 0.9000 -110.7500 0.2060 0.2060
+
+ 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 115 size 0.1504
+ picture size 115 x 115, pixel size 0.1504
+
+ test picture read
+ EXAMPLE 8 LINOGRAM RECONSTRUCTION
+ 0.004 seconds used for processing command pict
+
+
+ <#> projection real
+
+ EXAMPLE 8 LINOGRAM RECONSTRUCTION
+
+
+ <#> spec mono 75
+ energy spectrum is monochromatic at energy level 75
+
+
+ <#> obje
+ description of objects
+ density at levels
+ numb type x-coord y-coord x-length y-length angle av dens 75
+
+ 1 elip 0.0000 0.0000 8.6250 6.4687 90.0000 0.4160 0.4160
+
+ 2 elip 0.0000 0.0000 7.8750 5.7187 90.0000 -0.2060 -0.2060
+
+ 3 elip 0.0000 1.5000 0.3750 0.3000 90.0000 -0.0030 -0.0030
+
+ 4 elip 0.6750 -0.7500 0.2250 0.1500 140.0000 0.0100 0.0100
+
+ 5 elip 0.7500 1.5000 0.3750 0.2250 50.0000 0.0030 0.0030
+
+ 6 segm 1.3750 -7.5000 1.1000 0.6250 19.2000 -0.2040 -0.2040
+
+ 7 segm 1.3750 -7.5000 1.1000 4.3200 19.2100 0.2040 0.2040
+
+ 8 segm 0.0000 -2.2500 1.1250 0.3750 0.0000 -0.0030 -0.0030
+
+ 9 segm 0.0000 -2.2500 1.1250 3.0000 0.0000 0.0030 0.0030
+
+ 10 segm -1.0000 3.7500 1.0000 0.5000 135.0000 -0.0030 -0.0030
+
+ 11 segm -1.0000 3.7500 1.0000 3.0000 135.0000 0.0030 0.0030
+
+ 12 segm 1.0000 3.7500 1.0000 0.5000 225.0000 -0.0030 -0.0030
+
+ 13 segm 1.0000 3.7500 1.0000 3.0000 225.0000 0.0030 0.0030
+
+ 14 tria 5.0250 3.7500 1.1250 0.5000 110.7500 0.2060 0.2060
+
+ 15 tria -5.0250 3.7500 1.1250 0.9000 -110.7500 0.2060 0.2060
+
+ 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
+
+
+ <#> lino
+ rays are parallel with variable spacing between rays
+ data collected along lines
+
+
+ number of rays per projection 231
+ snark computed number of rays 233
+ at detector spacing 0.1504
+
+ total number of projections 462
+ projection angles 45.1243 45.3745 45.6268 45.8814 46.1382 46.3972 46.6584 46.9220 47.1878 47.4559
+ 47.7263 47.9991 48.2742 48.5517 48.8316 49.1140 49.3987 49.6859 49.9756 50.2677
+ 50.5623 50.8595 51.1592 51.4614 51.7662 52.0735 52.3835 52.6961 53.0112 53.3290
+ 53.6495 53.9726 54.2984 54.6269 54.9581 55.2920 55.6285 55.9679 56.3099 56.6547
+ 57.0023 57.3526 57.7057 58.0616 58.4202 58.7816 59.1458 59.5128 59.8826 60.2551
+ 60.6305 61.0086 61.3895 61.7733 62.1597 62.5490 62.9410 63.3358 63.7334 64.1336
+ 64.5367 64.9424 65.3508 65.7619 66.1757 66.5922 67.0113 67.4330 67.8573 68.2842
+ 68.7136 69.1455 69.5800 70.0169 70.4562 70.8980 71.3421 71.7886 72.2373 72.6884
+ 73.1416 73.5970 74.0546 74.5143 74.9760 75.4397 75.9054 76.3730 76.8425 77.3137
+ 77.7867 78.2614 78.7378 79.2157 79.6952 80.1761 80.6584 81.1420 81.6270 82.1131
+ 82.6004 83.0888 83.5782 84.0685 84.5597 85.0517 85.5444 86.0378 86.5318 87.0263
+ 87.5212 88.0165 88.5121 89.0080 89.5039 90.0000 90.4961 90.9920 91.4879 91.9835
+ 92.4788 92.9737 93.4682 93.9622 94.4556 94.9483 95.4403 95.9315 96.4218 96.9112
+ 97.3996 97.8869 98.3730 98.8580 99.3416 99.8239 100.3048 100.7843 101.2622 101.7386
+ 102.2133 102.6863 103.1575 103.6270 104.0946 104.5603 105.0240 105.4857 105.9454 106.4030
+ 106.8584 107.3116 107.7627 108.2114 108.6579 109.1020 109.5438 109.9831 110.4200 110.8545
+ 111.2864 111.7158 112.1427 112.5670 112.9887 113.4078 113.8243 114.2381 114.6492 115.0576
+ 115.4633 115.8664 116.2666 116.6642 117.0590 117.4510 117.8403 118.2267 118.6105 118.9914
+ 119.3695 119.7449 120.1174 120.4872 120.8542 121.2184 121.5798 121.9384 122.2943 122.6474
+ 122.9977 123.3453 123.6901 124.0321 124.3715 124.7080 125.0419 125.3731 125.7016 126.0274
+ 126.3505 126.6710 126.9888 127.3039 127.6165 127.9265 128.2338 128.5386 128.8408 129.1405
+ 129.4377 129.7323 130.0244 130.3141 130.6013 130.8860 131.1684 131.4483 131.7258 132.0009
+ 132.2737 132.5441 132.8122 133.0780 133.3416 133.6028 133.8618 134.1186 134.3732 134.6255
+ 134.8757 135.1243 135.3745 135.6268 135.8814 136.1382 136.3972 136.6584 136.9220 137.1878
+ 137.4559 137.7263 137.9991 138.2742 138.5517 138.8316 139.1140 139.3987 139.6859 139.9756
+ 140.2677 140.5623 140.8595 141.1592 141.4614 141.7662 142.0735 142.3835 142.6961 143.0112
+ 143.3290 143.6495 143.9726 144.2984 144.6269 144.9581 145.2920 145.6285 145.9679 146.3099
+ 146.6547 147.0023 147.3526 147.7057 148.0616 148.4202 148.7816 149.1458 149.5128 149.8826
+ 150.2551 150.6305 151.0086 151.3895 151.7733 152.1597 152.5490 152.9410 153.3358 153.7334
+ 154.1336 154.5367 154.9424 155.3508 155.7619 156.1757 156.5922 157.0113 157.4330 157.8573
+ 158.2842 158.7136 159.1455 159.5800 160.0169 160.4562 160.8980 161.3421 161.7886 162.2373
+ 162.6884 163.1416 163.5970 164.0546 164.5143 164.9760 165.4397 165.9054 166.3730 166.8425
+ 167.3137 167.7867 168.2614 168.7378 169.2157 169.6952 170.1761 170.6584 171.1420 171.6270
+ 172.1131 172.6004 173.0888 173.5782 174.0685 174.5597 175.0517 175.5444 176.0378 176.5318
+ 177.0263 177.5212 178.0165 178.5121 179.0080 179.5039 180.0000 180.4961 180.9920 181.4879
+ 181.9835 182.4788 182.9737 183.4682 183.9622 184.4556 184.9483 185.4403 185.9315 186.4218
+ 186.9112 187.3996 187.8869 188.3730 188.8580 189.3416 189.8239 190.3048 190.7843 191.2622
+ 191.7386 192.2133 192.6863 193.1575 193.6270 194.0946 194.5603 195.0240 195.4857 195.9454
+ 196.4030 196.8584 197.3116 197.7627 198.2114 198.6579 199.1020 199.5438 199.9831 200.4200
+ 200.8545 201.2864 201.7158 202.1427 202.5670 202.9887 203.4078 203.8243 204.2381 204.6492
+ 205.0576 205.4633 205.8664 206.2666 206.6642 207.0590 207.4510 207.8403 208.2267 208.6105
+ 208.9914 209.3695 209.7449 210.1174 210.4872 210.8542 211.2184 211.5798 211.9384 212.2943
+ 212.6474 212.9977 213.3453 213.6901 214.0321 214.3715 214.7080 215.0419 215.3731 215.7016
+ 216.0274 216.3505 216.6710 216.9888 217.3039 217.6165 217.9265 218.2338 218.5386 218.8408
+ 219.1405 219.4377 219.7323 220.0244 220.3141 220.6013 220.8860 221.1684 221.4483 221.7258
+ 222.0009 222.2737 222.5441 222.8122 223.0780 223.3416 223.6028 223.8618 224.1186 224.3732
+ 224.6255 224.8757
+
+
+ <#> meas perf
+ projection data are noiseless
+
+
+ <#> back 0.0000
+ at levels
+ 75
+ background absorption 0.0000
+
+ estimate of totlen = 1054747.357766
+ estimate of totden = 154874.529107
+ estimate of average density = 0.1468
+ projection data read
+ EXAMPLE 8 LINOGRAM RECONSTRUCTION
+ 0.048 seconds used for processing command proj
+
+
+ <#> execute lino
+
+ EXAMPLE 8a LINOGRAM METHOD
+
+ <#> sinc 1.0
+ linogram reconstruction algorithm
+ using filter sinc
+ cutoff = 1.0000
+ algorithm executed in iteration 1
+ 0.066 seconds for the execution of the algorithm
+ reconstruction completed after iteration 1
+ 0.066 seconds for this iteration
+ 0.203 seconds used for processing command exec
+
+
+ <#> execute conv
+
+ EXAMPLE 8b FILTERED BACKPROJECTION
+
+ <#> cosine 1.0 2
+ convolution reconstruction algorithm
+ using filter cosi
+ cutoff (or alpha) = 1.0000
+ 2 point lagrange interpolation
+ algorithm executed in iteration 1
+ 0.113 seconds for the execution of the algorithm
+ reconstruction completed after iteration 1
+ 0.113 seconds for this iteration
+ 0.246 seconds used for processing command exec
+
+
+ <#> end
projects / snark14.git / blobdiff