X CT JASRI / SPring /7/4 1
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- かずひろ くぬぎ
- 5 years ago
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1 X CT JASRI / SPring /7/4 1
2 ( ) ( )
3 ( ) CT q001.img q002.img, d01.img d02.img, output.log q???.img output.log ( ) ImagePro HiPic tiff q001.tif q002.tif, d01.tif d02.tif, output.log ct_cbp.exe ct_sino.exe ct_sino_tif.exe rec2tif.exe sino2tif.exe img_ave.exe img2tif.exe sfa.exe srec.exe tif_h2o.exe tif2hst.exe (exe ) mkdark.bat reconst.bat sinogram.bat ( ) ( ) filtered back projection method ct_fbp.exe ( ) ( ) DOS 3
4 ( ) ct_test.lzh windows (ct_manual.lzh) ct_test.txt a. c: ct d: ct_data dummy (path) path 4
5 b. d01.img d02.img q001.img q201.img output.log ( ) lzh mkdark.bat dark.img OK 5
6 c. 300(W) 100(H) 0 99 (50 layer) sinogram.bat sino0050.tif IrfanView pixel 6
7 d. (50 layer) rec0050.tif IrfanView 7
8 ( 0 ) X ( ) ( ) X (Linear Absorption Coefficient, LAC) LAC = ( ) conversion constants TIFF CT 16bit ring artifact 8
9 DOS LAC 9
10 e. D: ct_data dummy>img_ave d01.img d02.img dark.img read d01.img d01.img read d02.img d02.img output dark.img dark.img D: ct_data dummy>ct_sino 50 q dark.img nshot = 180, NI0 = 19, total = 201 store sinogram / sec 180 I D: ct_data dummy>sino2tif 8 Image size: 300 x (W) 180(H) MAX and min: to CT image to: 8 bits TIFF. TIFF bit Stored to: sino0050.tif Rotation axis: D: ct_data dummy>sino_conv D: ct_data dummy>ct_cbp Width of image : 300 Number of Projection : 180 Rotation center : reconstruction : 4 / sec D: ct_data dummy>rec2tif Image size: 300 x 300 MAX and min: and LAC CT image to: 16 bits TIFF. TIFF bit Conv. const.: LAC Pixel size: µm Stored to: rec0050.tif f. D: ct_data dummy>sfa.exe > 50.bat 10
11 50.bat pixel 50.bat 1pixel 5.83µm *** ct_sino 50 q dark.img copy s0050.sin tmp.sin sino_conv ct_cbp rec2tif ren rec0050.tif 0050_04990.tif copy tmp.sin s0050.sin sino_conv ct_cbp rec2tif ren rec0050.tif 0050_05000.tif copy tmp.sin s0050.sin sino_conv ct_cbp rec2tif ren rec0050.tif 0050_05010.tif copy tmp.sin s0050.sin sino_conv ct_cbp rec2tif ren rec0050.tif 0050_05020.tif copy tmp.sin s0050.sin sino_conv ct_cbp rec2tif ren rec0050.tif 0050_05030.tif del tmp.sin *** 50 s0050.sin tmp.sin CBP TIFF rec0050.tif 0050_04950.tif tmp.sin s0050.sin ( ) tmp.sin ( ) D: ct_data dummy>50.bat 0050_04990.tif 0050_05030.tif TIFF 11
12 0050_05010.tif ( ) 0050_04990.tif 0050_05030.tif 0050_05010.tif pixel g. ct_sino.exe sino_conv.exe ct_cbp.exe rec2tif.exe D: ct_data dummy>srec > 5-10.bat 5-10.bat (sfa.exe ) 5.83µm D: ct_data dummy> 5-10.bat rec0005.tif rec0010.tif 16bit tiff h. 8bit 16bit tiff 8bit rec2tif 16bit (rec????.tif) 8bit tiff (ro????.tif) D: ct_data dummy>tif_h2o rec0100.tif rec0200.tif ro0001.tif ro0101.tif ( ) rec0100.tif ro0001.tif 8bit ro????.tif 0 0.0cm
13 2.0cm -1 D: ct_data dummy>tif_h2o rec0100.tif rec0200.tif (100,150)-(250,350) ro0001.tif ro0101.tif cm-1 8bit i. 8bit 8bit ( ) 16bit tiff rec0050.tif 16bit (7 ) D: ct_data dummy>tif2hst rec0050.tif rec0050.hst rec0050.hst rec0050.hst rec0050.hst Linear absorption coefficient (cm -1 ) ( ) Number of pixel rec0050.hst (cm -1 ) 13
14 0cm -1 5cm -1 X j. TIFF TIFF IrfanView CT 16bit tiff Image Tool k. II ueken@spring8.or.jp 14
15 Windows (exe ) X (CT ) a) img_ave.exe img (HiPic ) %img_ave dark1 dark2 dark dark1 : ( ) dark2 : ( ) dark : ( ) 1. d: data e> img_ave d01.img d02.img dark.img 2. d: data e> img_ave d01.img d02.img d03.img dark.img 1. d01.img d02.img dark.img 2. d01.img d02.img d03.img dark.img 15
16 b) ct_sino.exe and ct_sino_tif.exe CT ( ) ct_sino.exe.img ct_sino_tif.exe TIFF %ct_sino layer (head) (dark) layer head dark : (layer) : ( q ) : ( dark.img ) 1. d: data e> ct_sino d: data e> ct_sino 100 q d01.img 3. d: data e> ct_sino 100 r d00.img q001.img q002.img dark.img d01.img 3. d00.img r001.img r002.img. ct_sino.exe (s????.sin layer ) sino.tmp sino.tmp layer (pixel ) TIFF (sinogram) sino.tmp layer
17 c) ct_cbp.exe or ct_fbp.exe ct_sino.exe layer %ct_cbp 1. d: data e> ct_cbp 1. ct_sino.exe ct_fbp.exe (double ) (r????.rec layer ) rec.tmp RECLBL ( rec.tmp 0100 layer filter filter 1. HAN 2. HAM 3. RAMP 4. PARZN 5. BUTER ct_cbp.exe HAN 17
18 d) rec2tif.exe ct_cbp.exe double 8bit or 16bit TIFF ct_cbp.exe (NDIMU NDIMU) %rec2tif (bit) (delta) (div) (base) bit delta div base : 8 or 16 bit ( 16bit) : pixel ( 5.83µm) : LAC ( )(bit LAC ) : LAC ( CT ) 1. d: data e> rec2tif 2. d: data e> rec2tif d: data e> rec2tif rec.tmp double TIFF 16bit 2. TIFF 8bit 1pixel 12µm 3. TIFF 16bit ct_cbp.exe rec.tmp TIFF tif_inf.exe bit 1 pixel (div) (base) (1-5) LAC(Linear Absorption Coefficient ) LAC = div + base 18
19 e) sino2tif.exe ct_sino.exe double 8bit or 16bit TIFF %sino2tif (bit) bit : 8 or 16 bit ( 16bit) d: data e> sino2tif double 16bit TIFF ct_sino.exe sino.tmp TIFF PhotoShop WZ Editor bit (div) (base) sinogram(p=ln(i0 / I)) = div + base 19
20 f) img2tif.exe HiPic 8bit or 16bit TIFF %img2tif input.img output.tif from to bit input.img output.tif from to bit : (???.img) : : 8bit : 8bit : 8 or 16 bit 1. d: data e> img2tif q001.img q001.tif d: data e> img2tif q001.img q001.tif q001.img 8bit TIFF TIFF 255 img img 16bit TIFF img 14bit 8bit from to 0 0 img from to 20
21 g) sino_conv.exe ct_sino sino.tmp %sino_conv AXIS AXIS : d: data e> sino_conv sino.tmp (ct_sino.exe) (ct_cbp.exe) 21
22 h) sfa.exe or sfa_tif.exe %sfa layer from to step (delta) > output layer : from : ( ) to : ( ) step : ( ) delta : ( ) output : ( ) d: data e> sfa > 20.bat pixel 20.bat 1pixel 5.83µm 22
23 i) srec.exe or srec_tif.exe %srec from axis1 to axis2 (delta) > output from : axis1 : ( ) to : axis2 : ( ) delta : ( ) output : ( ) d: data e> srec > 5-10.bat bat 1pixel 5.83µm sfa.exe 23
24 j) tif_h2o.exe (tiff 16bit) tiff 8bit %tif_h2o sta_ly dst_ly LACmin LACmax (x1 y1 x2 y2) sta_ly : dst_ly : LACmin : 8 bit 0 (cm -1 ) LACmax : 8 bit 255 (cm -1 ) x1 : y1 : x2 : y2 : 1. d: data e> tif_h2o d: data e> tif_h2o (rec0100.tif) 200(rec0200.tif) 8 bit tiff ro0001.tif ro0101.tif ro????.tif 0 0.0cm cm bit (100,150)-(200,350) 101x201 rec????.tif ( ) rec2tif.exe tif_h2o.exe tiff 16bit 8bit tif_conv.exe 24
25 k) tif2hst.exe (tiff 16bit or 8bit) %tif2hst input.tif outputfile input.tif outputfile : : d: data e> tif2hst rec0050.tif rec0050.hst rec0050.tif rec????.tif ( ) rec2tif.exe tif_h2o.exe (cm -1 ) rec0050.hst ( ) Linear absorption coefficient (cm -1 ) Number of pixel 25
26 l) tif_conv.exe tiff 16bit 8bit %tif_conv input.tif output.tif destbit input.tif output.tif destbit : : : bit (8 or 16) 1. d: data e> tif_conv test12.tif test16.tif d: data e> tif_conv test12.tif test8.tif 8 3. d: data e> tif_conv test16.tif test8.tif 8 1. test12.tif(12bit) test16.tif(16bit) 2. test12.tif(12bit) test8.tif(8bit) 3. test16.tif(16bit) test8.tif(8bit) 16bit 8bit 12bit 8bit 8bit 16bit 12bit 16bit 8bit 16bit 26
27 m) tif_inf.exe tif %tif_inf input input : d: data e> tif_int rec0300.tif d: data e> tif_int sino0300.tif rec0300.tif sino0300.tif (CT ) (div) 7. (base) (= ) (div) 6. (base) 7. ( ) 27
28 Windows a). mkdark.bat mkdark.bat img_ave d01.img d02.img dark.img d01.img d02.img reconst.bat ct_sino %1 q dark.img sino_conv %2 ct_cbp rec2tif 8 (%1 ) layer (%2) rec2tif 8bit TIFF sinogram.bat ct_sino %1 q dark.img sino2tif 8 (%1) layer sino2tif 8bit TIFF 28
29 windows98 c: autoexec.bat **** SET PATH=C: PROGRA~1 platex bin;"%path%" **** c: ct **** SET PATH=c: ct;c: PROGRA~1 platex bin;"%path%" **** c: autoexec.bat SET PATH=c: ct;"%path%" path DOS path ( ) windows 2000 windowsxp path ;c: ct path 29
30 CT Filtered Back Projection projection X x p(x,θ) 1 { p ( x', θ ) = ln( I0 / I) = µ ( x, y) dy' pˆ ( ω, θ ) = p( x', θ ) exp( iωx' ) dx' pˆ ( ω, θ ) = µ ( x, y) dy' exp( iωx' ) dx' x' = xcosθ + ysinθ y' = xsinθ + y cosθ pˆ ( ω, θ ) = µ ( x, y) exp( iωx cosθ iωy sin θ ) dx' dy' = ( x, y) exp( iωx cos θ iωy sin θ ) dxdy Jacobian, J = µ 4 y' projection y Fourier transform v x' x u object space domain Frequency domain 30
31 { ω ω x y = ω cos θ = ω sin θ µ (x, y) pˆ (, θ ) ˆ( µ ω, ω ) ) p' ( x', θ 1 p '( x', θ ) = pˆ( ω, θ ) exp( iωx') g( ω) dω 2π g( ω ) = ω g(ω) ˆ( ω, ω ) = µ ( x, y) exp( iω x iω y dx dy µ 5 x y x y ) ω = x y 1 µ ( x, y) = ˆ( µ ωx, ωy) exp( iωxx + iωy y) dωx dω 2 y (2π ) 5 1 = pˆ( ω, θ) exp( iω xx + iω y y) dω x dω 2 y (2π ) 1 = p ˆ ( ω, θ ) exp( iωx' ) ω dω dθ 2 (2π ) 2π 1 = p'( x', θ ) dθ 2π 0 ω Filtered Back Projection pˆ ( ω, θ ) = p( x', θ ) exp( iωx' ) dx' p '( x', θ ) = pˆ( ω, θ ) exp( iωx') g( ω) dω π µ ( x, y) = p' ( x cos θ + y sin θ, θ ) dθ 0 31
sp8ct : 2 (1-3) UNIX Linux sp8ct/src make install sp8ct/bin SPring-8 pr47 /home/image/bin sp8ct/src Makefile Intel-C compiler Makefile GNU-C compiler
SP- CT tsukasa.nakano@aist.go.jp (0) SP- CT (1) (2) SP- CT (3) (4) SP- CT (0) SP- CT (1) (1-0) SPring-8 http://www-bl20.spring8.or.jp/ sp8ct/tmp/sp8ct.zip http://www-bl20.spring8.or.jp/ sp8ct/tmp/sp8ct.taz
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