Hi everybody,

I just committed a change that will enable PToptimizer to handle the
Thoby projection.

I undusted a spherical 360/180 project I had lying around. Unfortunately
it was shot with a 20d, but i took good care of setting control
points. This was my "calibration" shot for the Nikkor on my 20d.

The Thoby is not perfect, but it very close. I needed to compute the b
parameter to get almost perfect alignment (b0.020879).

The first is the result of running PTroller on the remapped images. As
you can see, the seams are visible (8 horizontal photos, + 1 nadir and 1 
zenith).

http://turingmachine.org/~dmg/temp/thoby-APSC-noMask.jpg

To highlight the seams, I only show half of the images here:

http://turingmachine.org/~dmg/temp/thoby-APSC-partial.jpg

The vignetting  of the lens gives the seams away. Be careful not to
confuse a shadow with a lack of alignment. 

As you can see, the results are spectacular. Now I need to test it with
a fullframe photo.

Any of you who want to try it, install the library, and edit the
optimization script. 

Any chance hugin could implement a filter to pass the script through
rather than having to do manual edits?

Script follows;

--dmg



# PTOptimizer script, written by hugin

p f2 w4000 h2000 v360  n"TIFF_m c:NONE"
m g1 i0 f0 m2 p0.00784314

# image lines
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v50 r1.23268 p-0.739786 y0 TrX0 TrY0 TrZ0 a0 b0.001 c0 
d-32.4022 e0.379041 g0 t0  u10 n"/tmp/070322.NikonCalib/070322_6440.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r0.0634678 p-0.772426 y48.6043 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6443.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r-0.652717 p-0.067337 y88.5627 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6446.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r-0.632612 p1.15348 y138.084 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6449.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r0.0903612 p1.73747 y179.141 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6452.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r1.24336 p1.76502 y-130.051 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6455.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r1.91459 p1.10837 y-89.3071 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6458.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r1.88377 p-0.0144794 y-42.525 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6461.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r59.0587 p88.4977 y16.4769 TrX0 TrY0 TrZ0 a=0 b=0 c=0 d=0 
e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6464.JPG"
#-hugin  cropFactor=1.6
i w2336 h3504 f20 v=0 r90.5344 p-87.1614 y-132.448 TrX0 TrY0 TrZ0 a=0 b=0 c=0 
d=0 e=0 g=0 t=0  u10 n"/tmp/070322.NikonCalib/070322_6467.JPG"


# specify variables that should be optimized
v d0
v e0
v r8
v p8
v y8
v v0
v b0
v

# control points
c n0 N1 x2204 y3253 X1297.01 Y3148.65 t0
c n0 N1 x1989 y413 X967.357 Y490.873 t0
c n0 N2 x1989.21 y411.99 X155 Y415 t0
c n0 N2 x2203 y3252 X498.179 Y3194.61 t0
c n1 N2 x1295 y3146 X497.052 Y3192.78 t0
c n1 N2 x974 y490 X155.096 Y418.234 t0
c n2 N3 x1210 y3238 X313.701 Y3328.4 t0
c n1 N3 x2132 y697 X12 Y712 t0
c n1 N3 x1938 y3299 X314 Y3327 t0
c n2 N3 x1184 y771 X12 Y710 t0
c n3 N2 x960 y3351 X1796.66 Y3390.12 t0
c n1 N2 x2131.5 y696.5 X1185 Y772 t0
c n1 N2 x1936.5 y3297.5 X1208.5 Y3237.5 t0
c n2 N4 x1915 y384 X84 Y358 t0
c n2 N4 x1797 y3392 X316 Y3452.5 t0
c n3 N4 x961 y3353 X316.298 Y3453.41 t0
c n3 N4 x896.5 y377.5 X131 Y283 t0
c n3 N2 x895.183 y377.332 X1873 Y313 t0
c n3 N4 x2247.5 y197.5 X1544 Y338.5 t0
c n3 N4 x2176.5 y3188 X1379.84 Y3100.81 t0
c n4 N5 x1378 y3099 X340.008 Y3164.55 t0
c n4 N5 x1542.5 y339 X541.5 Y335 t0
c n4 N5 x2187 y3265 X1242.66 Y3161.58 t0
c n4 N5 x2186.5 y791 X934.5 Y862 t0
c n5 N6 x1246 y3163 X447.037 Y3219.33 t0
c n5 N6 x1291.5 y904 X261.5 Y882.5 t0
c n5 N6 x2157.5 y3097.5 X1311 Y3023 t0
c n5 N6 x2140 y596 X1216.37 Y678.542 t0
c n6 N7 x1310.5 y3023.5 X307.5 Y3086.5 t0
c n6 N7 x1213.5 y679.5 X141 Y625.5 t0
c n6 N7 x1856.5 y199 X1012.5 Y275 t0
c n6 N7 x1933 y3143.5 X972 Y3099 t0
c n7 N0 x1012 y275 X265.5 Y196.5 t0
c n7 N0 x972 y3099 X137.5 Y3200 t0
c n7 N0 x2176.5 y928.5 X1089 Y988 t0
c n7 N0 x2013 y3163.5 X1159.5 Y3106 t0
c n0 N1 x1160.5 y3105.5 X195.5 Y3202 t0
c n0 N1 x1390 y1246.5 X68.5 Y1232 t0
c n0 N1 x1581.84 y2015.84 X208 Y2037 t0
c n0 N1 x2316 y1959 X953 Y1964 t0
c n1 N2 x1297 y1923 X165.872 Y1941.61 t0
c n1 N2 x2242 y2044.5 X1129 Y2041.5 t0
c n2 N3 x1608.51 y1852.44 X199 Y1870.5 t0
c n2 N3 x2218 y1788.5 X815 Y1804 t0
c n3 N4 x1224 y1870.5 X64.0575 Y1886.77 t0
c n3 N4 x2287.05 y1814.06 X1130.5 Y1824.5 t0
c n4 N5 x1572 y1810.5 X127.608 Y1827.31 t0
c n4 N5 x2294.72 y1865.69 X861 Y1877 t0
c n5 N6 x1302.5 y1674 X148.959 Y1681.98 t0
c n5 N6 x2181.78 y1969.91 X1036 Y1975 t0
c n6 N7 x1438.5 y1762.5 X114.347 Y1777.22 t0
c n6 N7 x2297 y1802 X981.561 Y1817.08 t0
c n7 N0 x1305.5 y1755.5 X102.617 Y1767.47 t0
c n7 N0 x2303.83 y1749.77 X1110 Y1765 t0
c n3 N5 x2247.5 y197 X540 Y334 t0
c n3 N5 x2175.28 y3188.8 X340 Y3167 t0
c n4 N6 x2187 y3266 X443.5 Y3219 t0
c n4 N6 x1718.5 y302.5 X28 Y216 t0
c n4 N5 x1720.5 y304 X729 Y336.5 t0
c n5 N7 x2139.5 y596 X141 Y625.5 t0
c n5 N7 x2157 y3098 X311.5 Y3087 t0
c n6 N0 x1856 y196 X266 Y194.5 t0
c n6 N0 x1933.5 y3143 X137 Y3200.5 t0
c n7 N1 x2012 y3165.5 X197 Y3201 t0
c n1 N1 x637.5 y2218 X637 Y1224 t1
c n5 N5 x888.5 y2731.5 X832 Y1296 t1
c n0 N8 x422 y930 X1572 Y3354 t0
c n0 N8 x1754 y238 X2145 Y1981 t0
c n0 N8 x718 y1216 X2005 Y3409 t0
c n5 N8 x2141 y596 X166 Y2789 t0
c n5 N8 x773 y144 X291.306 Y1473.18 t0
c n7 N8 x1009.46 y160.719 X1037 Y2628 t0
c n7 N8 x1601 y793 X1645 Y3203 t0
c n3 N8 x1612 y468 X637 Y604 t0
c n3 N9 x312 y3329 X1928 Y2477 t0
c n3 N9 x1627.67 y3147.66 X720 Y2822 t0
c n0 N9 x1160 y3107 X1966 Y891 t0
c n0 N9 x2171 y3384 X2167 Y1974 t0
c n4 N9 x783 y3129 X708 Y2839 t0
c n4 N9 x1295 y3199 X369 Y2476 t0
c n6 N9 x443 y3219 X67 Y1638 t0
c n3 N8 x2038 y1072 X105 Y277 t0

#hugin_optimizeReferenceImage 0
#hugin_blender enblend
#hugin_remapper nona
#hugin_enblendOptions 
#hugin_enfuseOptions 
#hugin_hdrmergeOptions 
#hugin_outputLDRBlended true
#hugin_outputLDRLayers false
#hugin_outputLDRExposureRemapped false
#hugin_outputLDRExposureLayers false
#hugin_outputLDRExposureBlended false
#hugin_outputLDRExposureLayersFused false
#hugin_outputHDRBlended false
#hugin_outputHDRLayers false
#hugin_outputHDRStacks false
#hugin_outputLayersCompression PACKBITS
#hugin_outputImageType tif
#hugin_outputImageTypeCompression NONE
#hugin_outputJPEGQuality 100
#hugin_outputImageTypeHDR exr
#hugin_outputImageTypeHDRCompression 








*

# ====================================================================
# Output  generated by Panorama Tools

# 117 function evaluations
# the relative error in the sum of squares is at most tol
# final rms error 1.06712 units

# Panorama description
# p f2 w4000 h2000 v360 n"TIFF_m c:NONE"

# Parameters for Each Input Image:
# (*) - optimized         (p) - preset 

# Image No 0:
# Yaw:  0 deg (p) Pitch:  -0.739786 deg (p) 
# Roll:   1.23268 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r1.23268 p-0.739786 y0 v83.0977 a0.000000 b0.020879 c0.000000 g0.000000 
t0.000000 d-32.404649 e0.436136 u10 -buf 

# Image No 1:
# Yaw:  48.6043 deg (p) Pitch:  -0.772426 deg (p) 
# Roll:   0.0634678 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r0.0634678 p-0.772426 y48.6043 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 2:
# Yaw:  88.5627 deg (p) Pitch:  -0.067337 deg (p) 
# Roll:   -0.652717 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r-0.652717 p-0.067337 y88.5627 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 3:
# Yaw:  138.084 deg (p) Pitch:  1.15348 deg (p) 
# Roll:   -0.632612 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r-0.632612 p1.15348 y138.084 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 4:
# Yaw:  179.141 deg (p) Pitch:  1.73747 deg (p) 
# Roll:   0.0903612 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r0.0903612 p1.73747 y179.141 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 5:
# Yaw:  -130.051 deg (p) Pitch:  1.76502 deg (p) 
# Roll:   1.24336 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r1.24336 p1.76502 y-130.051 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 6:
# Yaw:  -89.3071 deg (p) Pitch:  1.10837 deg (p) 
# Roll:   1.91459 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r1.91459 p1.10837 y-89.3071 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 7:
# Yaw:  -42.525 deg (p) Pitch:  -0.0144794 deg (p) 
# Roll:   1.88377 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r1.88377 p-0.0144794 y-42.525 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 8:
# Yaw:  15.6309 deg (*) Pitch:  88.5135 deg (*) 
# Roll:   58.2307 deg (*) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r58.2307 p88.5135 y15.6309 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf -buf 

# Image No 9:
# Yaw:  -132.448 deg (p) Pitch:  -87.1614 deg (p) 
# Roll:   90.5344 deg (p) HFov:   83.0977 deg (*)
# Polynomial Coefficients: a   0.000000 (p); b   0.020879 (*); c   0.000000 (p)
# Horizontal Shift: -32.404649 (*)   Vertical Shift:  0.436136 (*)
# TiltX: 0.000000 (p)   TiltY:  0.000000 (p)
# TiltZ: 0.000000 (p)   TiltScale:  1.000000 (p)
# TransX: 0.000000 (p)   TransY:  0.000000 (p)
# TransZ: 0.000000 (p)   
# Test P0: 0.000000 (p)   Test P1:  0.000000 (p)
# Test P2: 0.000000 (p)   Test P3:  0.000000 (p)
# 4th polynomial coefficient: 0.979121
# Command for Panorama Creation: 
o f20 r90.5344 p-87.1614 y-132.448 v83.0977 a0.000000 b0.020879 c0.000000 
g0.000000 t0.000000 d-32.404649 e0.436136 u10 +buf 


# ==========================================================================
# Control Points: Distance between desired and fitted Position (in "Pixels")

# Control Point No 0:  0.264335
# Control Point No 1:  1.14686
# Control Point No 2:  0.773238
# Control Point No 3:  0.992253
# Control Point No 4:  1.12778
# Control Point No 5:  0.619528
# Control Point No 6:  0.448099
# Control Point No 7:  1.60474
# Control Point No 8:  1.21402
# Control Point No 9:  0.650551
# Control Point No 10:  0.274247
# Control Point No 11:  0.895125
# Control Point No 12:  0.55881
# Control Point No 13:  0.984523
# Control Point No 14:  0.169922
# Control Point No 15:  0.496754
# Control Point No 16:  0.311451
# Control Point No 17:  0.245218
# Control Point No 18:  0.312572
# Control Point No 19:  0.631925
# Control Point No 20:  0.942124
# Control Point No 21:  0.621936
# Control Point No 22:  1.06758
# Control Point No 23:  1.39249
# Control Point No 24:  0.719911
# Control Point No 25:  0.602029
# Control Point No 26:  2.16083
# Control Point No 27:  0.835296
# Control Point No 28:  0.733553
# Control Point No 29:  1.50587
# Control Point No 30:  1.1047
# Control Point No 31:  1.56006
# Control Point No 32:  1.22272
# Control Point No 33:  1.20566
# Control Point No 34:  0.497864
# Control Point No 35:  0.489269
# Control Point No 36:  0.651958
# Control Point No 37:  0.710673
# Control Point No 38:  0.660477
# Control Point No 39:  0.262716
# Control Point No 40:  0.167872
# Control Point No 41:  1.09064
# Control Point No 42:  0.120941
# Control Point No 43:  0.672153
# Control Point No 44:  1.0039
# Control Point No 45:  0.961658
# Control Point No 46:  0.599837
# Control Point No 47:  1.06406
# Control Point No 48:  0.61218
# Control Point No 49:  0.219379
# Control Point No 50:  2.12737
# Control Point No 51:  1.47487
# Control Point No 52:  1.14145
# Control Point No 53:  0.912145
# Control Point No 54:  0.85609
# Control Point No 55:  0.149711
# Control Point No 56:  1.11668
# Control Point No 57:  0.694227
# Control Point No 58:  0.852433
# Control Point No 59:  1.55404
# Control Point No 60:  1.60037
# Control Point No 61:  2.41998
# Control Point No 62:  2.24634
# Control Point No 63:  1.00548
# Control Point No 64:  0.0617022
# Control Point No 65:  0.415803
# Control Point No 66:  2.17424
# Control Point No 67:  0.91417
# Control Point No 68:  0.613287
# Control Point No 69:  1.29148
# Control Point No 70:  1.4419
# Control Point No 71:  0.578946
# Control Point No 72:  0.856451
# Control Point No 73:  0.646662
# Control Point No 74:  1.62679
# Control Point No 75:  2.06456
# Control Point No 76:  1.34724
# Control Point No 77:  0.815358
# Control Point No 78:  1.22117
# Control Point No 79:  1.32322
# Control Point No 80:  0.490288
# Control Point No 81:  0.724114
C i0 c0  x2629.42 y1566.43 X2629.27 Y1566.33  D0.264335 Dx0.179169 Dy0.194349
C i1 c0  x2629.13 y1566.23 X2629.27 Y1566.33  D0.264335 Dx0.179169 Dy0.194349
C i0 c1  x2457.52 y507.164 X2456.99 Y507.593  D1.14686 Dx0.761461 Dy-0.857593
C i1 c1  x2456.45 y508.022 X2456.99 Y507.593  D1.14686 Dx0.761461 Dy-0.857593
C i0 c2  x2457.89 y506.787 X2458.41 Y506.888  D0.773238 Dx-0.746095 Dy-0.203074
C i2 c2  x2458.93 y506.99 X2458.41 Y506.888  D0.773238 Dx-0.746095 Dy-0.203074
C i0 c3  x2628.34 y1566.17 X2629.08 Y1566  D0.992253 Dx-0.930265 Dy0.345214
C i2 c3  x2629.82 y1565.83 X2629.08 Y1566  D0.992253 Dx-0.930265 Dy0.345214
C i1 c4  x2627.85 y1565.11 X2628.74 Y1565.06  D1.12778 Dx-1.12392 Dy0.0932211
C i2 c4  x2629.63 y1565.01 X2628.74 Y1565.06  D1.12778 Dx-1.12392 Dy0.0932211
C i1 c5  x2459.74 y507.591 X2459.84 Y507.892  D0.619528 Dx-0.146403 Dy-0.601981
C i2 c5  x2459.94 y508.193 X2459.84 Y507.892  D0.619528 Dx-0.146403 Dy-0.601981
C i2 c6  x3037.48 y1598.11 X3037.85 Y1598.17  D0.448099 Dx-0.430769 Dy-0.123414
C i3 c6  x3038.21 y1598.24 X3037.85 Y1598.17  D0.448099 Dx-0.430769 Dy-0.123414
C i1 c7  x3000.68 y615.153 X3000.9 Y615.935  D1.60474 Dx-0.358922 Dy-1.56409
C i3 c7  x3001.11 y616.717 X3000.9 Y615.935  D1.60474 Dx-0.358922 Dy-1.56409
C i1 c8  x3038.48 y1598.88 X3038.73 Y1598.29  D1.21402 Dx-0.286288 Dy1.17978
C i3 c8  x3038.97 y1597.7 X3038.73 Y1598.29  D1.21402 Dx-0.286288 Dy1.17978
C i2 c9  x3000.42 y615.387 X3000.57 Y615.691  D0.650551 Dx-0.235598 Dy-0.606391
C i3 c9  x3000.71 y615.994 X3000.57 Y615.691  D0.650551 Dx-0.235598 Dy-0.606391
C i3 c10  x3434.56 y1636.35 X3434.37 Y1636.44  D0.274247 Dx0.210943 Dy-0.175255
C i2 c10  x3434.17 y1636.53 X3434.37 Y1636.44  D0.274247 Dx0.210943 Dy-0.175255
C i1 c11  x3000.52 y614.942 X3000.7 Y615.366  D0.895125 Dx-0.2867 Dy-0.84797
C i2 c11  x3000.87 y615.79 X3000.7 Y615.366  D0.895125 Dx-0.2867 Dy-0.84797
C i1 c12  x3036.95 y1598.42 X3036.76 Y1598.17  D0.55881 Dx0.217798 Dy0.514619
C i2 c12  x3036.58 y1597.91 X3036.76 Y1598.17  D0.55881 Dx0.217798 Dy0.514619
C i2 c13  x3397.45 y472.248 X3397.01 Y472.639  D0.984523 Dx0.599406 Dy-0.781023
C i4 c13  x3396.57 y473.029 X3397.01 Y472.639  D0.984523 Dx0.599406 Dy-0.781023
C i2 c14  x3435.23 y1637.27 X3435.1 Y1637.31  D0.169922 Dx0.146041 Dy-0.0868653
C i4 c14  x3434.96 y1637.35 X3435.1 Y1637.31  D0.169922 Dx0.146041 Dy-0.0868653
C i3 c15  x3435.02 y1637.28 X3434.83 Y1637.51  D0.496754 Dx0.199965 Dy-0.454729
C i4 c15  x3434.65 y1637.74 X3434.83 Y1637.51  D0.496754 Dx0.199965 Dy-0.454729
C i3 c16  x3393.37 y441.173 X3393.45 Y441.321  D0.311451 Dx-0.0995206 
Dy-0.295122
C i4 c16  x3393.53 y441.468 X3393.45 Y441.321  D0.311451 Dx-0.0995206 
Dy-0.295122
C i3 c17  x3392.63 y441.136 X3392.71 Y441.248  D0.245218 Dx-0.101342 Dy-0.223297
C i2 c17  x3392.79 y441.36 X3392.71 Y441.248  D0.245218 Dx-0.101342 Dy-0.223297
C i3 c18  x226.567 y422.496 X226.676 Y422.355  D0.312572 Dx-0.134775 Dy0.282023
C i4 c18  x226.785 y422.214 X226.676 Y422.355  D0.312572 Dx-0.134775 Dy0.282023
C i3 c19  x115.102 y1516.32 X115.07 Y1516.64  D0.631925 Dx0.0448995 Dy-0.630328
C i4 c19  x115.037 y1516.95 X115.07 Y1516.64  D0.631925 Dx0.0448995 Dy-0.630328
C i4 c20  x113.959 y1516.2 X114.567 Y1515.99  D0.942124 Dx-0.836932 Dy0.432599
C i5 c20  x115.174 y1515.77 X114.567 Y1515.99  D0.942124 Dx-0.836932 Dy0.432599
C i4 c21  x225.839 y422.366 X226.321 Y422.276  D0.621936 Dx-0.595195 Dy0.180407
C i5 c21  x226.804 y422.185 X226.321 Y422.276  D0.621936 Dx-0.595195 Dy0.180407
C i4 c22  x596.461 y1546.35 X596.067 Y1545.88  D1.06758 Dx0.5148 Dy0.935258
C i5 c22  x595.674 y1545.42 X596.067 Y1545.88  D1.06758 Dx0.5148 Dy0.935258
C i4 c23  x474.109 y632.456 X474.026 Y631.763  D1.39249 Dx0.139077 Dy1.38553
C i5 c23  x473.943 y631.07 X474.026 Y631.763  D1.39249 Dx0.139077 Dy1.38553
C i5 c24  x597.486 y1546.05 X598.035 Y1546.02  D0.719911 Dx-0.717124 Dy0.0632862
C i6 c24  x598.583 y1545.99 X598.035 Y1546.02  D0.719911 Dx-0.717124 Dy0.0632862
C i5 c25  x630.95 y650.923 X631.123 Y651.185  D0.602029 Dx-0.295058 Dy-0.524766
C i6 c25  x631.296 y651.447 X631.123 Y651.185  D0.602029 Dx-0.295058 Dy-0.524766
C i5 c26  x1076.48 y1495.1 X1075.21 Y1494.51  D2.16083 Dx1.80643 Dy1.18575
C i6 c26  x1073.95 y1493.91 X1075.21 Y1494.51  D2.16083 Dx1.80643 Dy1.18575
C i5 c27  x1061.21 y566.582 X1061.74 Y566.518  D0.835296 Dx-0.82548 Dy0.12768
C i6 c27  x1062.27 y566.454 X1061.74 Y566.518  D0.835296 Dx-0.82548 Dy0.12768
C i6 c28  x1073.7 y1494.12 X1073.38 Y1493.84  D0.733553 Dx0.462128 Dy0.569682
C i7 c28  x1073.06 y1493.55 X1073.38 Y1493.84  D0.733553 Dx0.462128 Dy0.569682
C i6 c29  x1060.89 y566.789 X1061.8 Y567.041  D1.50587 Dx-1.41951 Dy-0.502615
C i7 c29  x1062.71 y567.292 X1061.8 Y567.041  D1.50587 Dx-1.41951 Dy-0.502615
C i6 c30  x1484.4 y402.82 X1484.1 Y403.341  D1.1047 Dx0.363059 Dy-1.04333
C i7 c30  x1483.79 y403.863 X1484.1 Y403.341  D1.1047 Dx0.363059 Dy-1.04333
C i6 c31  x1416.71 y1534.61 X1416.91 Y1533.84  D1.56006 Dx-0.263766 Dy1.5376
C i7 c31  x1417.1 y1533.07 X1416.91 Y1533.84  D1.56006 Dx-0.263766 Dy1.5376
C i7 c32  x1483.5 y403.859 X1484.18 Y404.315  D1.22272 Dx-0.814171 Dy-0.912227
C i0 c32  x1484.87 y404.771 X1484.18 Y404.315  D1.22272 Dx-0.814171 Dy-0.912227
C i7 c33  x1417.1 y1533.07 X1416.43 Y1532.67  D1.20566 Dx0.908508 Dy0.792613
C i0 c33  x1415.75 y1532.28 X1416.43 Y1532.67  D1.20566 Dx0.908508 Dy0.792613
C i7 c34  x1987.04 y710.324 X1987.07 Y710.077  D0.497864 Dx-0.058556 Dy0.494408
C i0 c34  x1987.11 y709.83 X1987.07 Y710.077  D0.497864 Dx-0.058556 Dy0.494408
C i7 c35  x1996.62 y1548.01 X1996.77 Y1548.23  D0.489269 Dx-0.207252 Dy-0.443206
C i0 c35  x1996.93 y1548.46 X1996.77 Y1548.23  D0.489269 Dx-0.207252 Dy-0.443206
C i0 c36  x1997.48 y1548.25 X1997.17 Y1548.5  D0.651958 Dx0.405575 Dy-0.51045
C i1 c36  x1996.86 y1548.76 X1997.17 Y1548.5  D0.651958 Dx0.405575 Dy-0.51045
C i0 c37  x2105.43 y814.626 X2105.46 Y814.98  D0.710673 Dx-0.051681 Dy-0.708791
C i1 c37  x2105.48 y815.335 X2105.46 Y814.98  D0.710673 Dx-0.051681 Dy-0.708791
C i0 c38  x2172.34 y1112.11 X2172.01 Y1112.06  D0.660477 Dx0.653807 Dy0.0936306
C i1 c38  x2171.67 y1112.01 X2172.01 Y1112.06  D0.660477 Dx0.653807 Dy0.0936306
C i0 c39  x2468.78 y1089.55 X2468.68 Y1089.63  D0.262716 Dx0.196738 Dy-0.174109
C i1 c39  x2468.58 y1089.72 X2468.68 Y1089.63  D0.262716 Dx0.196738 Dy-0.174109
C i1 c40  x2602.33 y1074.08 X2602.34 Y1074.16  D0.167872 Dx-0.0223465 
Dy-0.166378
C i2 c40  x2602.35 y1074.24 X2602.34 Y1074.16  D0.167872 Dx-0.0223465 
Dy-0.166378
C i1 c41  x2981.86 y1113.09 X2982.15 Y1112.63  D1.09064 Dx-0.569215 Dy0.930311
C i2 c41  x2982.44 y1112.16 X2982.15 Y1112.63  D1.09064 Dx-0.569215 Dy0.930311
C i2 c42  x3167.54 y1036.54 X3167.48 Y1036.51  D0.120941 Dx0.107817 Dy0.0547919
C i3 c42  x3167.43 y1036.49 X3167.48 Y1036.51  D0.120941 Dx0.107817 Dy0.0547919
C i2 c43  x3410.1 y1008.93 X3410.19 Y1008.6  D0.672153 Dx-0.17829 Dy0.648076
C i3 c43  x3410.28 y1008.28 X3410.19 Y1008.6  D0.672153 Dx-0.17829 Dy0.648076
C i3 c44  x3568.61 y1032.07 X3568.36 Y1032.51  D1.0039 Dx0.4954 Dy-0.873148
C i4 c44  x3568.11 y1032.94 X3568.36 Y1032.51  D1.0039 Dx0.4954 Dy-0.873148
C i3 c45  x3988.97 y1007.71 X3988.55 Y1007.96  D0.961658 Dx0.830901 Dy-0.484139
C i4 c45  x3988.14 y1008.2 X3988.55 Y1007.96  D0.961658 Dx0.830901 Dy-0.484139
C i4 c46  x158.999 y1003.54 X158.74 Y1003.39  D0.599837 Dx0.518164 Dy0.302176
C i5 c46  x158.481 y1003.24 X158.74 Y1003.39  D0.599837 Dx0.518164 Dy0.302176
C i4 c47  x448.184 y1026.82 X447.862 Y1026.39  D1.06406 Dx0.643887 Dy0.847132
C i5 c47  x447.539 y1025.97 X447.862 Y1026.39  D1.06406 Dx0.643887 Dy0.847132
C i5 c48  x619.932 y951.359 X620.235 Y951.41  D0.61218 Dx-0.603572 Dy-0.102295
C i6 c48  x620.537 y951.461 X620.235 Y951.41  D0.61218 Dx-0.603572 Dy-0.102295
C i5 c49  x965.719 y1072.09 X965.818 Y1072.04  D0.219379 Dx-0.197033 Dy0.0964641
C i6 c49  x965.917 y1071.99 X965.818 Y1072.04  D0.219379 Dx-0.197033 Dy0.0964641
C i6 c50  x1124.25 y995.345 X1125.12 Y995.966  D2.12737 Dx-1.72703 Dy-1.2422
C i7 c50  x1125.98 y996.587 X1125.12 Y995.966  D2.12737 Dx-1.72703 Dy-1.2422
C i6 c51  x1465.48 y1022.4 X1466.19 Y1022.61  D1.47487 Dx-1.41427 Dy-0.41841
C i7 c51  x1466.9 y1022.82 X1466.19 Y1022.61  D1.47487 Dx-1.41427 Dy-0.41841
C i7 c52  x1592.71 y1003.19 X1593.23 Y1003.42  D1.14145 Dx-1.04318 Dy-0.463333
C i0 c52  x1593.76 y1003.66 X1593.23 Y1003.42  D1.14145 Dx-1.04318 Dy-0.463333
C i7 c53  x1988.81 y1012.73 X1989.26 Y1012.64  D0.912145 Dx-0.895148 Dy0.175268
C i0 c53  x1989.71 y1012.55 X1989.26 Y1012.64  D0.912145 Dx-0.895148 Dy0.175268
C i3 c54  x226.84 y422.33 X226.27 Y422.085  D0.85609 Dx0.702573 Dy0.489163
C i5 c54  x225.699 y421.84 X226.27 Y422.085  D0.85609 Dx0.702573 Dy0.489163
C i3 c55  x114.712 y1516.72 X114.604 Y1516.73  D0.149711 Dx0.148145 Dy-0.0215945
C i5 c55  x114.496 y1516.74 X114.604 Y1516.73  D0.149711 Dx0.148145 Dy-0.0215945
C i4 c56  x596.887 y1546.72 X596.815 Y1546.16  D1.11668 Dx0.0938365 Dy1.11273
C i6 c56  x596.743 y1545.61 X596.815 Y1546.16  D1.11668 Dx0.0938365 Dy1.11273
C i4 c57  x335.602 y415.904 X336.172 Y415.885  D0.694227 Dx-0.693148 Dy0.0386967
C i6 c57  x336.741 y415.865 X336.172 Y415.885  D0.694227 Dx-0.693148 Dy0.0386967
C i4 c58  x336.372 y416.645 X336.327 Y416.219  D0.852433 Dx0.0541122 Dy0.850713
C i5 c58  x336.283 y415.794 X336.327 Y416.219  D0.852433 Dx0.0541122 Dy0.850713
C i5 c59  x1060.96 y566.545 X1061.84 Y566.918  D1.55404 Dx-1.3626 Dy-0.747229
C i7 c59  x1062.71 y567.292 X1061.84 Y566.918  D1.55404 Dx-1.3626 Dy-0.747229
C i5 c60  x1076.35 y1495.32 X1075.67 Y1494.68  D1.60037 Dx0.960624 Dy1.28
C i7 c60  x1075 y1494.04 X1075.67 Y1494.68  D1.60037 Dx0.960624 Dy1.28
C i6 c61  x1485.35 y401.599 X1484.85 Y402.773  D2.41998 Dx0.589479 Dy-2.34709
C i0 c61  x1484.35 y403.946 X1484.85 Y402.773  D2.41998 Dx0.589479 Dy-2.34709
C i6 c62  x1416.87 y1534.38 X1416.07 Y1533.4  D2.24634 Dx1.06797 Dy1.97623
C i0 c62  x1415.27 y1532.41 X1416.07 Y1533.4  D2.24634 Dx1.06797 Dy1.97623
C i7 c63  x1996.64 y1548.86 X1997.37 Y1548.69  D1.00548 Dx-0.945658 Dy0.341659
C i1 c63  x1998.09 y1548.52 X1997.37 Y1548.69  D1.00548 Dx-0.945658 Dy0.341659
C i0 c66  x1701.52 y688.385 X1701.62 Y689.469  D2.17424 Dx-0.161329 Dy-2.16825
C i8 c66  x1701.71 y690.554 X1701.62 Y689.469  D2.17424 Dx-0.161329 Dy-2.16825
C i0 c67  x2378.38 y421.521 X2377.81 Y421.811  D0.91417 Dx0.705706 Dy-0.581108
C i8 c67  x2377.24 y422.102 X2377.81 Y421.811  D0.91417 Dx0.705706 Dy-0.581108
C i0 c68  x1836.58 y797.931 X1836.68 Y797.639  D0.613287 Dx-0.190151 Dy0.583063
C i8 c68  x1836.78 y797.347 X1836.68 Y797.639  D0.613287 Dx-0.190151 Dy0.583063
C i5 c69  x1061.71 y566.656 X1061.27 Y566.107  D1.29148 Dx0.680321 Dy1.09776
C i8 c69  x1060.83 y565.559 X1061.27 Y566.107  D1.29148 Dx0.680321 Dy1.09776
C i5 c70  x327.779 y329.785 X328.745 Y330.323  D1.4419 Dx-0.959589 Dy-1.07623
C i8 c70  x329.711 y330.861 X328.745 Y330.323  D1.4419 Dx-0.959589 Dy-1.07623
C i7 c71  x1479.63 y351.984 X1479.55 Y351.698  D0.578946 Dx0.0896954 Dy0.571955
C i8 c71  x1479.46 y351.412 X1479.55 Y351.698  D0.578946 Dx0.0896954 Dy0.571955
C i7 c72  x1747.59 y635.276 X1747.84 Y634.905  D0.856451 Dx-0.426322 Dy0.742804
C i8 c72  x1748.09 y634.533 X1747.84 Y634.905  D0.856451 Dx-0.426322 Dy0.742804
C i3 c73  x3776.66 y482.078 X3776.81 Y482.384  D0.646662 Dx-0.208631 Dy-0.612083
C i8 c73  x3776.96 y482.69 X3776.81 Y482.384  D0.646662 Dx-0.208631 Dy-0.612083
C i3 c74  x3036.92 y1598.35 X3035.73 Y1598.77  D1.62679 Dx1.39494 Dy-0.837016
C i9 c74  x3034.55 y1599.18 X3035.73 Y1598.77  D1.62679 Dx1.39494 Dy-0.837016
C i3 c75  x3805.4 y1533.96 X3803.86 Y1533.9  D2.06456 Dx2.06107 Dy0.119948
C i9 c75  x3802.32 y1533.84 X3803.86 Y1533.9  D2.06456 Dx2.06107 Dy0.119948
C i0 c76  x1997.19 y1548.89 X1996.95 Y1548.24  D1.34724 Dx0.32009 Dy1.30866
C i9 c76  x1996.7 y1547.59 X1996.95 Y1548.24  D1.34724 Dx0.32009 Dy1.30866
C i0 c77  x2678.5 y1615.9 X2678.55 Y1615.49  D0.815358 Dx-0.059538 Dy0.813182
C i9 c77  x2678.6 y1615.08 X2678.55 Y1615.49  D0.815358 Dx-0.059538 Dy0.813182
C i4 c78  x3804.27 y1526.54 X3804.21 Y1525.93  D1.22117 Dx0.084115 Dy1.21827
C i9 c78  x3804.15 y1525.32 X3804.21 Y1525.93  D1.22117 Dx0.084115 Dy1.21827
C i4 c79  x76.4049 y1560.73 X77.3175 Y1561.05  D1.32322 Dx-1.16006 Dy-0.636536
C i9 c79  x78.2302 y1561.37 X77.3175 Y1561.05  D1.32322 Dx-1.16006 Dy-0.636536
C i6 c80  x596.47 y1545.57 X596.813 Y1545.47  D0.490288 Dx-0.448651 Dy0.197722
C i9 c80  x597.155 y1545.37 X596.813 Y1545.47  D0.490288 Dx-0.448651 Dy0.197722
C i3 c81  x3911.78 y731.431 X3911.6 Y731.106  D0.724114 Dx0.319158 Dy0.649984
C i8 c81  x3911.43 y730.781 X3911.6 Y731.106  D0.724114 Dx0.319158 Dy0.649984


-- 
--
Daniel M. German                  
http://turingmachine.org/
http://silvernegative.com/
dmg (at) uvic (dot) ca
replace (at) with @ and (dot) with .

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