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Processes a fisheye image and computes gap fraction (proportion of sky visible) in elevation and azimuth bins.

Usage

gla_extract_gap_fraction(
  img_file,
  elev_res = 5,
  azi_res = 5,
  rotation_deg = 0,
  radial_distortion = "equidistant",
  threshold = 0
)

Arguments

img_file

Path to fisheye image file

elev_res

Elevation resolution in degrees (default 5)

azi_res

Azimuth resolution in degrees (default 5)

rotation_deg

Rotation angle in degrees to align image with true north (default 0)

radial_distortion

Lens projection method. Use "equidistant" (default) for standard equidistant polar projection, or provide custom lens calibration data (see gla_lens_sigma_8mm() for format).

threshold

Threshold value for converting image to binary. Can be:

  • Numeric value (0-1): pixels below threshold become 0, above become 1. Default is 0 (matches original behavior).

  • "auto": automatic threshold detection using Otsu's method

  • "XX%": percentile-based threshold (e.g., "95%")

Value

A list with gap fraction matrix and metadata

Examples

# \donttest{
  photo <- system.file("extdata", "example-photo.jpg", package = "gaplightr")
  gla_extract_gap_fraction(photo)
#> $gap_fraction
#>            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
#>  [1,]       NaN       NaN       NaN       NaN       NaN       NaN 1.0000000
#>  [2,]       NaN       NaN       NaN       NaN       NaN 0.9052863 0.9881727
#>  [3,]       NaN       NaN       NaN 0.9770992 0.8297137 0.8808063 0.9079062
#>  [4,] 0.7829047 0.6288599 0.6892282 0.8850971 0.8602350 0.7901731 0.7002784
#>  [5,] 0.9422886 0.8551495 0.9477885 0.8134973 0.8014608 0.8508801 0.8587571
#>  [6,] 0.8099856 0.8609817 0.6412186 0.6811334 0.7539455 0.7343134 0.8154122
#>  [7,] 0.7364733 0.8029653 0.7103314 0.7637427 0.7549669 0.7369447 0.8007020
#>  [8,] 0.9504485 0.9863423 0.9893390 0.9244881 0.8753735 0.9099061 0.9210414
#>  [9,] 0.9570349 0.9687943 0.9466478 0.9552098 0.9735225 0.9882020 0.9660537
#> [10,] 0.9511041 0.9614979 0.9614776 0.9620453 0.9540655 0.9572785 0.9693931
#> [11,] 0.9435435 0.9659701 0.9527512 0.9646283 0.9719570 0.9611244 0.9641363
#> [12,] 0.9100892 0.9468966 0.9558621 0.9668737 0.9841598 0.9979296 1.0000000
#> [13,] 0.9377559 0.9022005 0.9804401 0.9845151 1.0000000 1.0000000 1.0000000
#> [14,] 0.9702085 0.9880478 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 0.9892473 1.0000000 0.9964158 0.9892280 0.9964286 0.9964093 0.9928187
#> [17,] 0.9791667 0.9909910 0.9672619 0.9759760 0.9404762 0.9343284 0.9640719
#> [18,] 0.9181818 0.9549550 0.9553571 0.9553571 0.9727273 0.9196429 0.9464286
#>            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
#>  [1,] 0.9905187 0.9932990 0.9948914 0.9923136 0.9948744 0.9969254 0.9982056
#>  [2,] 0.9907709 0.9953666 0.9989204 0.9853420 0.9921260 0.9975557 0.9820555
#>  [3,] 0.7876157 0.8808969 0.8841499 0.8888889 0.9064582 0.9777135 0.7472527
#>  [4,] 0.8111867 0.8493789 0.7558354 0.8121137 0.8304980 0.8192213 0.6113173
#>  [5,] 0.9103586 0.8119772 0.9269180 0.9465471 0.8850116 0.8362670 0.8884462
#>  [6,] 0.7895303 0.7600000 0.8342227 0.9300825 0.9089606 0.7701685 0.7126973
#>  [7,] 0.7281591 0.6960283 0.7824738 0.9110764 0.8685647 0.9150429 0.9181924
#>  [8,] 0.7885519 0.8452944 0.8108337 0.8248612 0.8433632 0.8812980 0.8049509
#>  [9,] 0.9905571 0.9971388 0.9859287 0.9943343 0.9919849 0.9848985 0.9555556
#> [10,] 0.9656811 0.9723845 0.9405941 0.9355861 0.9192612 0.9377637 0.9244984
#> [11,] 0.9719068 0.9551515 0.9780546 0.9707113 0.9551704 0.9635167 0.9576372
#> [12,] 0.9910159 0.9603340 0.9830278 0.9923981 1.0000000 0.9972395 0.9958678
#> [13,] 1.0000000 0.9991694 0.9991929 1.0000000 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9897436
#> [16,] 0.9982111 0.9981550 0.9965398 0.9946333 0.9982047 0.9838420 0.9821429
#> [17,] 0.9761194 0.9713376 0.9942693 0.9402985 0.9760479 0.9402985 0.9702381
#> [18,] 0.9369369 0.9789474 1.0000000 1.0000000 1.0000000 1.0000000 0.9818182
#>           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
#>  [1,] 0.9753972 0.9979513 0.9979487 0.9915666 0.9780220 0.9623077 0.9866837
#>  [2,] 0.9983718 0.9932065 0.9796306 0.9950967 0.9940071 0.9856056 0.9877717
#>  [3,] 0.8000579 0.9239225 0.8840705 0.9563710 0.9462583 0.8979474 0.8657796
#>  [4,] 0.7551020 0.7418856 0.8991960 0.9321561 0.8878563 0.7659246 0.8275116
#>  [5,] 0.8543883 0.9228467 0.8966777 0.9608624 0.8786070 0.9398671 0.9597606
#>  [6,] 0.7091105 0.8630824 0.7921892 0.8415948 0.8602730 0.9100681 0.8139785
#>  [7,] 0.9567251 0.8046784 0.8591494 0.9373297 0.9501752 0.9297698 0.9980507
#>  [8,] 0.9308874 0.8695096 0.9611609 0.9918838 0.9974370 0.9910371 0.9918977
#>  [9,] 0.9929279 0.9981114 0.9768322 0.9981114 0.9985836 0.9848700 0.9943343
#> [10,] 0.9694254 0.9878628 0.9947257 0.9773922 0.9737119 0.9662447 0.9530343
#> [11,] 0.9706235 0.9683014 0.9671642 0.9327327 0.9687688 0.9743284 0.9910287
#> [12,] 0.9979296 0.9841379 0.9793103 0.9993137 1.0000000 0.9786207 1.0000000
#> [13,] 0.9714751 0.9902200 0.9698452 0.9926290 1.0000000 0.9665852 1.0000000
#> [14,] 0.9622266 0.9830170 0.9940239 1.0000000 0.9910626 0.9820717 1.0000000
#> [15,] 0.9884910 0.9936061 1.0000000 0.9922978 0.9537869 0.9627728 0.9565217
#> [16,] 1.0000000 1.0000000 0.9820789 0.9767025 1.0000000 0.9856631 0.9480287
#> [17,] 0.9909910 1.0000000 0.9939940 0.9910714 0.9970238 0.9879880 1.0000000
#> [18,] 0.9821429 0.9553571 0.9819820 0.9727273 0.9727273 0.9549550 0.9642857
#>           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
#>  [1,] 0.9828293 0.9638554 0.9743787 0.9889800 0.9807840 0.9523196 0.9798212
#>  [2,] 0.9834464 0.9880370 0.9777295 0.9850665 0.9720413 0.9918234 0.9700405
#>  [3,] 0.8692130 0.9462117 0.9189580 0.8644657 0.8718171 0.9583576 0.9106628
#>  [4,] 0.9158936 0.8769326 0.8760816 0.9124652 0.9187268 0.9369565 0.9480958
#>  [5,] 0.9797207 0.9548473 0.9986715 0.9990030 0.9850598 0.9916360 0.9785053
#>  [6,] 0.8303443 0.8967001 0.9870921 0.9924731 0.9992829 0.9661261 0.9893276
#>  [7,] 0.9660819 0.9735099 0.9848012 0.9886895 0.9949298 0.9933150 0.9883676
#>  [8,] 0.9880546 0.9778062 0.9765158 0.9863423 0.9850491 0.9643318 0.9547186
#>  [9,] 0.9773692 0.9621749 0.9372345 0.9570957 0.9527856 0.9775870 0.9995310
#> [10,] 0.9256721 0.9435058 0.9477848 0.9651715 0.9957761 1.0000000 1.0000000
#> [11,] 0.9952038 0.9922434 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [12,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [13,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 0.9948849 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 0.9964093 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 0.9821429 0.9909091 1.0000000 0.9910714 0.9819820 1.0000000 1.0000000
#>           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
#>  [1,] 0.9821528 0.9840000       NaN       NaN       NaN       NaN       NaN
#>  [2,] 0.9655266 0.9837374 0.9911894       NaN       NaN       NaN       NaN
#>  [3,] 0.8590856 0.8430350 0.8340637 0.6668312 0.7862595       NaN       NaN
#>  [4,] 0.9323239 0.9424683 0.9539555 0.8933210 0.9132749 0.9248865 0.8325416
#>  [5,] 0.9956839 0.9744101 0.9594819 0.8290173 0.7905585 0.7120053 0.9425249
#>  [6,] 0.9996414 0.9935484 0.9809968 0.9110473 0.9709469 0.9878136 0.9899678
#>  [7,] 0.9863495 0.9992200 0.9766173 0.9567589 0.9692008 0.9738791 0.9933671
#>  [8,] 0.9987185 0.9953052 0.9735269 0.9696970 0.9637372 0.9880597 0.9769526
#>  [9,] 1.0000000 0.9943423 0.9721567 0.9702128 0.9797265 1.0000000 0.9791962
#> [10,] 1.0000000 0.9910290 0.9699367 0.9762408 0.9815498 1.0000000 0.9789030
#> [11,] 1.0000000 0.9820681 0.9581340 0.9713604 0.9622302 0.9970096 0.9737313
#> [12,] 1.0000000 0.9827942 0.9503106 0.9607438 0.9730849 1.0000000 1.0000000
#> [13,] 1.0000000 0.9942950 0.9600652 0.9934641 0.9665852 0.9788101 0.9894051
#> [14,] 0.9990050 1.0000000 0.9990030 0.9880359 0.9642147 0.9570430 0.9671315
#> [15,] 1.0000000 1.0000000 0.9820282 0.9589744 0.9731458 0.9501279 0.9679076
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 0.9802513 0.9838710 0.9820789
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 0.9910714 0.9910714 1.0000000 0.9910714 1.0000000 1.0000000
#>           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
#>  [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
#>  [2,]       NaN       NaN       NaN       NaN       NaN       NaN 0.8458150
#>  [3,]       NaN       NaN       NaN       NaN 0.7888041 0.8247779 0.8255916
#>  [4,] 0.8933434 0.8895613 0.7986936 0.8976475 0.8847840 0.8222016 0.8368356
#>  [5,] 0.9807629 0.9711443 0.8398671 0.5463918 0.6545878 0.6736388 0.8638326
#>  [6,] 0.9885057 0.9996408 0.9810104 0.9107527 0.8167145 0.9759684 0.8777340
#>  [7,] 0.9680810 0.9902686 0.9871245 0.9918129 0.9699805 0.9232567 0.8986750
#>  [8,] 0.9598462 0.9910295 0.9735382 0.9471215 0.9534983 0.9487836 0.9735269
#>  [9,] 0.9645892 0.9735600 0.9669031 0.9542021 0.9349364 0.9782506 0.9745163
#> [10,] 0.9900105 0.9805468 0.9783755 0.9467018 0.9446494 0.9778247 0.9572785
#> [11,] 0.9939940 0.9615616 0.9904478 0.9844498 0.9790168 0.9719570 0.9527512
#> [12,] 0.9993137 0.9835278 0.9758621 0.9689655 0.9682540 0.9951791 0.9717046
#> [13,] 1.0000000 0.9926290 0.9869601 0.9828851 0.9616952 0.9803922 0.9600652
#> [14,] 0.9642502 0.9900695 0.9930279 0.9730270 0.9383698 0.9351944 0.9232303
#> [15,] 0.9833119 0.9833119 0.9845956 0.9578005 0.9565217 0.9615385 0.9614891
#> [16,] 0.9982079 1.0000000 0.9964158 0.9731183 0.9461400 0.9803571 0.9784560
#> [17,] 1.0000000 1.0000000 1.0000000 0.9910714 1.0000000 0.9761905 0.9701493
#> [18,] 0.9909091 1.0000000 1.0000000 1.0000000 0.9910714 0.9545455 0.9464286
#>           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
#>  [1,] 0.8720000 0.9590073 0.9618557 0.9777778 0.9838586 0.9892363 0.9841148
#>  [2,] 0.9450030 0.8615635 0.9070591 0.8812416 0.9625407 0.8854195 0.9193373
#>  [3,] 0.7668694 0.8411458 0.8404193 0.8899135 0.7586806 0.8384014 0.7568741
#>  [4,] 0.7955459 0.8488875 0.8701863 0.8817568 0.8331273 0.8391587 0.8269468
#>  [5,] 0.8414756 0.8552457 0.6543995 0.6537698 0.6201859 0.6955799 0.6439721
#>  [6,] 0.9028674 0.8859806 0.7174775 0.7470651 0.6034421 0.7949821 0.8816780
#>  [7,] 0.9816693 0.8689548 0.8155722 0.7045366 0.5932137 0.6688768 0.8819174
#>  [8,] 0.9837815 0.8974797 0.8736571 0.8163352 0.8060658 0.7742211 0.9111870
#>  [9,] 0.9684111 0.9523135 0.9203624 0.8733583 0.8829084 0.8896747 0.8749410
#> [10,] 0.9488127 0.9308342 0.9548593 0.9202710 0.8537487 0.8000000 0.9219409
#> [11,] 0.9563658 0.9736999 0.9472727 0.9596679 0.9258816 0.9145248 0.9718900
#> [12,] 0.9532003 0.9903248 0.9763396 0.9769179 0.9799585 0.9917412 0.9834369
#> [13,] 0.9600652 0.9894137 1.0000000 0.9983858 0.9902280 0.9975550 0.9934800
#> [14,] 0.9700300 0.9810945 0.9919192 0.9883041 0.9880597 0.9960040 1.0000000
#> [15,] 0.9499358 0.9719029 0.9736495 0.9911950 1.0000000 1.0000000 1.0000000
#> [16,] 0.9622980 0.9552773 0.9760148 0.9982699 0.9964222 1.0000000 1.0000000
#> [17,] 0.9760479 0.9402985 0.9713376 0.9971347 0.9910448 0.9850299 0.9850746
#> [18,] 0.9910714 0.9549550 0.9684211 0.9618321 1.0000000 1.0000000 1.0000000
#>           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
#>  [1,] 0.9807742 0.9841107 0.9877081 0.9897436 0.9780220 0.9721441 0.9864103
#>  [2,] 0.9002175 0.8957938 0.8592391 0.8525258 0.8379188 0.9441569 0.8337860
#>  [3,] 0.7677848 0.7167245 0.7130460 0.7632264 0.5426177 0.5599538 0.6883492
#>  [4,] 0.7850959 0.7693259 0.8652241 0.8775510 0.7741636 0.8593556 0.6784168
#>  [5,] 0.5365206 0.5910904 0.6903891 0.8534884 0.6301824 0.6451078 0.7647841
#>  [6,] 0.7754663 0.7331420 0.6774194 0.8022214 0.6770833 0.8074713 0.8720889
#>  [7,] 0.9559797 0.6436647 0.6651072 0.7257121 0.8221098 0.9128065 0.7951619
#>  [8,] 0.9509176 0.6019625 0.7880597 0.6559966 0.8641606 0.9316531 0.9231754
#>  [9,] 0.9721040 0.8958039 0.8144476 0.7248227 0.9291785 0.9546742 0.8770686
#> [10,] 0.9783527 0.9620453 0.8290237 0.8159283 0.8732913 0.9463722 0.8908228
#> [11,] 0.9982100 0.9928058 0.9491627 0.9468657 0.8972973 0.8798799 0.9128358
#> [12,] 1.0000000 1.0000000 0.9931034 0.9765517 0.9396019 0.9272478 0.9627586
#> [13,] 0.9959150 0.9894051 0.9902200 0.9747351 0.9754300 0.9647830 0.9364303
#> [14,] 0.9980060 0.9691849 0.9610390 0.9551793 0.9781529 0.9612711 0.9681275
#> [15,] 1.0000000 0.9948849 0.9987212 0.9576380 0.9794608 0.9845956 0.9833119
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9910394 0.9838710
#> [17,] 0.9821429 0.9939940 1.0000000 1.0000000 1.0000000 1.0000000 0.9969970
#> [18,] 0.9909091 0.9910714 0.9642857 1.0000000 1.0000000 1.0000000 1.0000000
#>           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
#>  [1,] 0.9912932 0.9856484 0.9761600 0.9864207 0.9510507 0.9754035 0.9773196
#>  [2,] 0.8847826 0.7590231 0.8637847 0.8658338 0.9006245 0.8241042 0.8094849
#>  [3,] 0.7992479 0.6698495 0.7006940 0.8422576 0.9484506 0.9279514 0.7635411
#>  [4,] 0.8664606 0.8880643 0.7393321 0.8442522 0.8134859 0.8244747 0.6385093
#>  [5,] 0.6375125 0.8650266 0.9511952 0.9375623 0.8145563 0.8310093 0.9474741
#>  [6,] 0.6974910 0.8127690 0.9831420 0.9598422 0.8197133 0.7307279 0.7985586
#>  [7,] 0.7707602 0.8319688 0.9953253 0.9431021 0.8186427 0.7995320 0.8875344
#>  [8,] 0.8690832 0.8199659 0.9735382 0.9782237 0.7942808 0.8287057 0.9166309
#>  [9,] 0.9367328 0.8085809 0.9683215 0.9754601 0.8038661 0.8843248 0.9179781
#> [10,] 0.9503958 0.8313126 0.9604013 0.8997890 0.7730871 0.7840549 0.8985661
#> [11,] 0.9025120 0.8255396 0.9093079 0.9431818 0.7621040 0.7919904 0.8581818
#> [12,] 0.9427586 0.8868185 0.9077135 0.9875776 0.8699243 0.7795439 0.8190675
#> [13,] 0.9494703 0.9559902 0.9509804 0.9967400 0.9437653 0.9698697 0.7367110
#> [14,] 0.9660340 0.9701789 0.9092722 0.9670987 0.8981019 0.9124378 0.8606061
#> [15,] 0.9641944 0.9795396 0.9692308 0.9756098 0.9884467 0.9501916 0.9486166
#> [16,] 0.9713262 0.9928187 0.9803571 0.9802513 1.0000000 0.9695886 0.9704797
#> [17,] 1.0000000 1.0000000 0.9761905 0.9970149 0.9910180 0.9910448 0.9968153
#> [18,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9909910 0.9789474
#>           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]     [,70]
#>  [1,] 0.9816092 0.9974902 1.0000000       NaN       NaN       NaN       NaN
#>  [2,] 0.8844804 0.8414767 0.9154347 0.9151982       NaN       NaN       NaN
#>  [3,] 0.8841499 0.7418981 0.7437011 0.9620216 0.8958539 0.9312977       NaN
#>  [4,] 0.7220516 0.8423980 0.7939994 0.8547590 0.8407545 0.8390733 0.7247214
#>  [5,] 0.9391534 0.9770916 0.8733799 0.7585520 0.8967463 0.7985372 0.8619887
#>  [6,] 0.9886162 0.9673718 0.9035842 0.8981714 0.9142755 0.8644189 0.7573477
#>  [7,] 0.9693680 0.9894696 0.9738690 0.9984412 0.9598753 0.9294347 0.9598441
#>  [8,] 0.9255184 0.9495942 0.9539052 0.9837746 0.9436620 0.9087031 0.8366738
#>  [9,] 0.7959662 0.7228517 0.9325790 0.9292119 0.9437352 0.7661480 0.6406988
#> [10,] 0.9426785 0.8278775 0.9620053 0.8955696 0.9160507 0.9040590 0.9461741
#> [11,] 0.8778173 0.5965332 0.8822475 0.9360048 0.9081146 0.9262590 0.8648325
#> [12,] 0.6510523 0.7892191 0.8072953 0.9199448 0.8836088 0.8150449 0.7331034
#> [13,] 0.6941082 0.6938111 0.7114914 0.7334963 0.8660131 0.8149959 0.8875306
#> [14,] 0.8820663 0.8915423 0.8991009 0.8614158 0.8454636 0.9055666 0.9740260
#> [15,] 0.9647799 0.9782886 0.9691913 0.9499358 0.9243590 0.9897698 0.9782609
#> [16,] 0.9757785 0.9516995 0.9640934 0.9497307 0.9839286 0.9982047 0.9856631
#> [17,] 1.0000000 1.0000000 0.9940120 0.9761194 0.9940476 0.9969970 0.9940476
#> [18,] 0.9770992 0.9909910 1.0000000 0.9375000 0.9545455 0.9285714 0.9375000
#>           [,71]     [,72]
#>  [1,]       NaN       NaN
#>  [2,]       NaN       NaN
#>  [3,]       NaN       NaN
#>  [4,] 0.7921615 0.7413011
#>  [5,] 0.8767442 0.7625207
#>  [6,] 0.7445360 0.6813937
#>  [7,] 0.8099883 0.8548073
#>  [8,] 0.8011097 0.8607433
#>  [9,] 0.8747045 0.9749764
#> [10,] 0.9382911 0.9595163
#> [11,] 0.8871642 0.9693694
#> [12,] 0.6848276 0.8009609
#> [13,] 0.9462103 0.8894349
#> [14,] 0.9790837 0.9652433
#> [15,] 0.9781772 0.9961489
#> [16,] 0.9677419 0.9856631
#> [17,] 0.9579580 0.9821429
#> [18,] 0.9639640 0.9454545
#> 
#> $total_pixels
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,]    0    0    0    0    0    0  625 3586 3880  3915  3903  3902  3903
#>  [2,]    0    0    0    0    0  908 3382 3684 3669  3705  3684  3683  3682
#>  [3,]    0    0    0  393 2026 3423 3453 3456 3434  3470  3456  3453  3455
#>  [4,] 1322 1684 2423 3194 3234 3236 3233 3236 3220  3256  3236  3233  3236
#>  [5,] 3015 3010 3007 3008 3012 3011 3009 3012 2989  3024  3012  3009  3011
#>  [6,] 2784 2791 2790 2788 2788 2789 2790 2789 2775  2811  2789  2790  2789
#>  [7,] 2569 2563 2565 2565 2567 2566 2564 2564 2543  2579  2564  2564  2566
#>  [8,] 2341 2343 2345 2344 2343 2342 2343 2341 2327  2363  2341  2343  2342
#>  [9,] 2118 2115 2118 2121 2115 2119 2121 2118 2097  2132  2118  2121  2119
#> [10,] 1902 1896 1895 1897 1894 1896 1895 1894 1883  1919  1894  1895  1896
#> [11,] 1665 1675 1672 1668 1676 1672 1673 1673 1650  1686  1673  1673  1672
#> [12,] 1457 1450 1450 1449 1452 1449 1453 1447 1437  1473  1447  1453  1449
#> [13,] 1221 1227 1227 1227 1224 1227 1227 1228 1204  1239  1228  1227  1227
#> [14,] 1007 1004 1001 1006 1003 1003 1001 1005  990  1026  1005  1001  1003
#> [15,]  779  779  782  782  780  779  779  783  759   795   783   779   779
#> [16,]  558  558  558  557  560  557  557  559  542   578   559   557   557
#> [17,]  336  333  336  333  336  335  334  335  314   349   335   334   335
#> [18,]  110  111  112  112  110  112  112  111   95   131   111   112   112
#>       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>  [1,]  3901  3902  3905  3900  3913  3913  3900  3905  3902  3901  3903  3902
#>  [2,]  3678  3685  3680  3682  3671  3671  3682  3680  3685  3678  3682  3683
#>  [3,]  3458  3456  3457  3459  3461  3461  3459  3457  3456  3458  3455  3453
#>  [4,]  3234  3234  3235  3234  3228  3228  3234  3235  3234  3234  3236  3233
#>  [5,]  3012  3008  3007  3010  3015  3015  3010  3007  3008  3012  3011  3009
#>  [6,]  2788  2788  2790  2791  2784  2784  2791  2790  2788  2788  2789  2790
#>  [7,]  2567  2565  2565  2563  2569  2569  2563  2565  2565  2567  2566  2564
#>  [8,]  2343  2344  2345  2343  2341  2341  2343  2345  2344  2343  2342  2343
#>  [9,]  2115  2121  2118  2115  2118  2118  2115  2118  2121  2115  2119  2121
#> [10,]  1894  1897  1895  1896  1902  1902  1896  1895  1897  1894  1896  1895
#> [11,]  1676  1668  1672  1675  1665  1665  1675  1672  1668  1676  1672  1673
#> [12,]  1452  1449  1450  1450  1457  1457  1450  1450  1449  1452  1449  1453
#> [13,]  1224  1227  1227  1227  1221  1221  1227  1227  1227  1224  1227  1227
#> [14,]  1003  1006  1001  1004  1007  1007  1004  1001  1006  1003  1003  1001
#> [15,]   780   782   782   779   779   779   779   782   782   780   779   779
#> [16,]   560   557   558   558   558   558   558   558   557   560   557   557
#> [17,]   336   333   336   333   336   336   333   336   333   336   335   334
#> [18,]   110   112   112   111   110   110   111   112   112   110   112   112
#>       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>  [1,]  3903  3880  3915  3586   625     0     0     0     0     0     0     0
#>  [2,]  3684  3669  3705  3684  3382   908     0     0     0     0     0     0
#>  [3,]  3456  3434  3470  3456  3453  3423  2026   393     0     0     0     0
#>  [4,]  3236  3220  3256  3236  3233  3236  3234  3194  2423  1684  1322  1322
#>  [5,]  3012  2989  3024  3012  3009  3011  3012  3008  3007  3010  3015  3015
#>  [6,]  2789  2775  2811  2789  2790  2789  2788  2788  2790  2791  2784  2784
#>  [7,]  2564  2543  2579  2564  2564  2566  2567  2565  2565  2563  2569  2569
#>  [8,]  2341  2327  2363  2341  2343  2342  2343  2344  2345  2343  2341  2341
#>  [9,]  2118  2097  2132  2118  2121  2119  2115  2121  2118  2115  2118  2118
#> [10,]  1894  1883  1919  1894  1895  1896  1894  1897  1895  1896  1902  1902
#> [11,]  1673  1650  1686  1673  1673  1672  1676  1668  1672  1675  1665  1665
#> [12,]  1447  1437  1473  1447  1453  1449  1452  1449  1450  1450  1457  1457
#> [13,]  1228  1204  1239  1228  1227  1227  1224  1227  1227  1227  1221  1221
#> [14,]  1005   990  1026  1005  1001  1003  1003  1006  1001  1004  1007  1007
#> [15,]   783   759   795   783   779   779   780   782   782   779   779   779
#> [16,]   559   542   578   559   557   557   560   557   558   558   558   558
#> [17,]   335   314   349   335   334   335   336   333   336   333   336   336
#> [18,]   111    95   131   111   112   112   110   112   112   111   110   110
#>       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>  [1,]     0     0     0     0     0   625  3586  3880  3915  3903  3902  3903
#>  [2,]     0     0     0     0   908  3382  3684  3669  3705  3684  3683  3682
#>  [3,]     0     0   393  2026  3423  3453  3456  3434  3470  3456  3453  3455
#>  [4,]  1684  2423  3194  3234  3236  3233  3236  3220  3256  3236  3233  3236
#>  [5,]  3010  3007  3008  3012  3011  3009  3012  2989  3024  3012  3009  3011
#>  [6,]  2791  2790  2788  2788  2789  2790  2789  2775  2811  2789  2790  2789
#>  [7,]  2563  2565  2565  2567  2566  2564  2564  2543  2579  2564  2564  2566
#>  [8,]  2343  2345  2344  2343  2342  2343  2341  2327  2363  2341  2343  2342
#>  [9,]  2115  2118  2121  2115  2119  2121  2118  2097  2132  2118  2121  2119
#> [10,]  1896  1895  1897  1894  1896  1895  1894  1883  1919  1894  1895  1896
#> [11,]  1675  1672  1668  1676  1672  1673  1673  1650  1686  1673  1673  1672
#> [12,]  1450  1450  1449  1452  1449  1453  1447  1437  1473  1447  1453  1449
#> [13,]  1227  1227  1227  1224  1227  1227  1228  1204  1239  1228  1227  1227
#> [14,]  1004  1001  1006  1003  1003  1001  1005   990  1026  1005  1001  1003
#> [15,]   779   782   782   780   779   779   783   759   795   783   779   779
#> [16,]   558   558   557   560   557   557   559   542   578   559   557   557
#> [17,]   333   336   333   336   335   334   335   314   349   335   334   335
#> [18,]   111   112   112   110   112   112   111    95   131   111   112   112
#>       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>  [1,]  3901  3902  3905  3900  3913  3913  3900  3905  3902  3901  3903  3902
#>  [2,]  3678  3685  3680  3682  3671  3671  3682  3680  3685  3678  3682  3683
#>  [3,]  3458  3456  3457  3459  3461  3461  3459  3457  3456  3458  3455  3453
#>  [4,]  3234  3234  3235  3234  3228  3228  3234  3235  3234  3234  3236  3233
#>  [5,]  3012  3008  3007  3010  3015  3015  3010  3007  3008  3012  3011  3009
#>  [6,]  2788  2788  2790  2791  2784  2784  2791  2790  2788  2788  2789  2790
#>  [7,]  2567  2565  2565  2563  2569  2569  2563  2565  2565  2567  2566  2564
#>  [8,]  2343  2344  2345  2343  2341  2341  2343  2345  2344  2343  2342  2343
#>  [9,]  2115  2121  2118  2115  2118  2118  2115  2118  2121  2115  2119  2121
#> [10,]  1894  1897  1895  1896  1902  1902  1896  1895  1897  1894  1896  1895
#> [11,]  1676  1668  1672  1675  1665  1665  1675  1672  1668  1676  1672  1673
#> [12,]  1452  1449  1450  1450  1457  1457  1450  1450  1449  1452  1449  1453
#> [13,]  1224  1227  1227  1227  1221  1221  1227  1227  1227  1224  1227  1227
#> [14,]  1003  1006  1001  1004  1007  1007  1004  1001  1006  1003  1003  1001
#> [15,]   780   782   782   779   779   779   779   782   782   780   779   779
#> [16,]   560   557   558   558   558   558   558   558   557   560   557   557
#> [17,]   336   333   336   333   336   336   333   336   333   336   335   334
#> [18,]   110   112   112   111   110   110   111   112   112   110   112   112
#>       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72]
#>  [1,]  3903  3880  3915  3586   625     0     0     0     0     0     0
#>  [2,]  3684  3669  3705  3684  3382   908     0     0     0     0     0
#>  [3,]  3456  3434  3470  3456  3453  3423  2026   393     0     0     0
#>  [4,]  3236  3220  3256  3236  3233  3236  3234  3194  2423  1684  1322
#>  [5,]  3012  2989  3024  3012  3009  3011  3012  3008  3007  3010  3015
#>  [6,]  2789  2775  2811  2789  2790  2789  2788  2788  2790  2791  2784
#>  [7,]  2564  2543  2579  2564  2564  2566  2567  2565  2565  2563  2569
#>  [8,]  2341  2327  2363  2341  2343  2342  2343  2344  2345  2343  2341
#>  [9,]  2118  2097  2132  2118  2121  2119  2115  2121  2118  2115  2118
#> [10,]  1894  1883  1919  1894  1895  1896  1894  1897  1895  1896  1902
#> [11,]  1673  1650  1686  1673  1673  1672  1676  1668  1672  1675  1665
#> [12,]  1447  1437  1473  1447  1453  1449  1452  1449  1450  1450  1457
#> [13,]  1228  1204  1239  1228  1227  1227  1224  1227  1227  1227  1221
#> [14,]  1005   990  1026  1005  1001  1003  1003  1006  1001  1004  1007
#> [15,]   783   759   795   783   779   779   780   782   782   779   779
#> [16,]   559   542   578   559   557   557   560   557   558   558   558
#> [17,]   335   314   349   335   334   335   336   333   336   333   336
#> [18,]   111    95   131   111   112   112   110   112   112   111   110
#> 
#> $gap_pixels
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,]    0    0    0    0    0    0  625 3552 3854  3895  3873  3882  3891
#>  [2,]    0    0    0    0    0  822 3342 3650 3652  3701  3630  3654  3673
#>  [3,]    0    0    0  384 1681 3015 3135 2722 3025  3068  3072  3130  3378
#>  [4,] 1035 1059 1670 2827 2782 2557 2264 2625 2735  2461  2628  2685  2651
#>  [5,] 2841 2574 2850 2447 2414 2562 2584 2742 2427  2803  2851  2663  2518
#>  [6,] 2255 2403 1789 1899 2102 2048 2275 2202 2109  2345  2594  2536  2148
#>  [7,] 1892 2058 1822 1959 1938 1891 2053 1867 1770  2018  2336  2227  2348
#>  [8,] 2225 2311 2320 2167 2051 2131 2158 1846 1967  1916  1931  1976  2064
#>  [9,] 2027 2049 2005 2026 2059 2094 2049 2098 2091  2102  2106  2104  2087
#> [10,] 1809 1823 1822 1825 1807 1815 1837 1829 1831  1805  1772  1742  1778
#> [11,] 1571 1618 1593 1609 1629 1607 1613 1626 1576  1649  1624  1598  1611
#> [12,] 1326 1373 1386 1401 1429 1446 1453 1434 1380  1448  1436  1453  1445
#> [13,] 1145 1107 1203 1208 1224 1227 1227 1228 1203  1238  1228  1227  1227
#> [14,]  977  992 1001 1006 1003 1003 1001 1005  990  1026  1005  1001  1003
#> [15,]  779  779  782  782  780  779  779  783  759   795   783   779   779
#> [16,]  552  558  556  551  558  555  553  558  541   576   556   556   548
#> [17,]  329  330  325  325  316  313  322  327  305   347   315   326   315
#> [18,]  101  106  107  107  107  103  106  104   93   131   111   112   112
#>       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>  [1,]  3894  3806  3897  3892  3880  3827  3753  3853  3835  3760  3803  3859
#>  [2,]  3612  3679  3655  3607  3653  3649  3629  3635  3624  3634  3600  3628
#>  [3,]  2584  2765  3194  3058  3310  3275  3106  2993  3004  3272  3175  2985
#>  [4,]  1977  2442  2400  2908  3009  2866  2477  2677  2962  2836  2835  2950
#>  [5,]  2676  2570  2775  2699  2897  2649  2829  2886  2947  2876  3007  3006
#>  [6,]  1987  1977  2408  2211  2343  2395  2540  2271  2315  2500  2753  2769
#>  [7,]  2357  2454  2064  2202  2408  2441  2383  2560  2478  2499  2527  2535
#>  [8,]  1886  2182  2039  2252  2322  2335  2322  2326  2316  2291  2287  2311
#>  [9,]  2021  2106  2114  2066  2114  2115  2083  2106  2073  2035  1986  2030
#> [10,]  1751  1839  1872  1886  1859  1852  1832  1806  1756  1787  1797  1829
#> [11,]  1605  1619  1619  1620  1553  1613  1632  1657  1660  1663  1672  1673
#> [12,]  1446  1446  1427  1420  1456  1457  1419  1450  1449  1452  1449  1453
#> [13,]  1224  1192  1215  1190  1212  1221  1186  1227  1227  1224  1227  1227
#> [14,]  1003   968   984   998  1007   998   986  1001  1006  1003  1003  1001
#> [15,]   772   773   777   779   773   743   750   748   778   780   779   779
#> [16,]   550   557   558   548   545   558   550   529   555   560   557   557
#> [17,]   326   330   336   331   333   335   329   336   333   336   335   334
#> [18,]   108   110   107   109   107   107   106   108   110   109   112   111
#>       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>  [1,]  3828  3695  3836  3522   615     0     0     0     0     0     0     0
#>  [2,]  3581  3639  3594  3557  3327   900     0     0     0     0     0     0
#>  [3,]  3013  3291  3160  2969  2911  2855  1351   309     0     0     0     0
#>  [4,]  2973  3017  3087  3017  3047  3087  2889  2917  2241  1402  1181  1176
#>  [5,]  2967  2964  2959  2999  2932  2889  2497  2378  2141  2837  2957  2928
#>  [6,]  2787  2681  2781  2788  2772  2736  2540  2707  2756  2763  2752  2783
#>  [7,]  2551  2526  2549  2529  2562  2506  2456  2486  2498  2546  2487  2544
#>  [8,]  2306  2244  2256  2338  2332  2280  2272  2259  2317  2289  2247  2320
#>  [9,]  2018  2050  2131  2118  2109  2060  2052  2078  2118  2071  2043  2062
#> [10,]  1886  1883  1919  1894  1878  1839  1849  1862  1895  1856  1883  1865
#> [11,]  1673  1650  1686  1673  1643  1602  1628  1605  1667  1631  1655  1601
#> [12,]  1447  1437  1473  1447  1428  1377  1395  1410  1450  1450  1456  1433
#> [13,]  1228  1204  1239  1228  1220  1178  1216  1186  1201  1214  1221  1212
#> [14,]  1005   990  1026  1004  1001  1002   991   970   958   971   971   997
#> [15,]   783   759   795   783   779   765   748   761   743   754   766   766
#> [16,]   559   542   578   559   557   557   560   546   549   548   557   558
#> [17,]   335   314   349   335   334   335   336   333   336   333   336   336
#> [18,]   109    95   131   111   111   111   110   111   112   111   109   110
#>       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>  [1,]     0     0     0     0     0   545  3439  3732  3828  3840  3860  3841
#>  [2,]     0     0     0     0   768  3196  3174  3328  3265  3546  3261  3385
#>  [3,]     0     0   310  1671  2826  2648  2907  2886  3088  2622  2895  2615
#>  [4,]  1345  2175  2826  2659  2708  2572  2747  2802  2871  2696  2713  2676
#>  [5,]  2528  1643  1969  2029  2601  2532  2576  1956  1977  1868  2093  1939
#>  [6,]  2738  2541  2277  2721  2448  2519  2471  1991  2100  1683  2218  2459
#>  [7,]  2530  2544  2488  2370  2306  2517  2228  2074  1817  1521  1715  2263
#>  [8,]  2281  2221  2235  2223  2280  2305  2101  2033  1929  1887  1814  2134
#>  [9,]  2045  2021  1983  2069  2065  2054  2017  1930  1862  1870  1887  1854
#> [10,]  1855  1794  1792  1852  1815  1798  1763  1798  1766  1617  1516  1748
#> [11,]  1659  1646  1633  1629  1593  1600  1629  1563  1618  1549  1530  1625
#> [12,]  1415  1405  1403  1445  1408  1385  1433  1403  1439  1418  1441  1425
#> [13,]  1211  1206  1180  1200  1178  1178  1215  1204  1237  1216  1224  1219
#> [14,]   997   974   944   938   926   971   986   982  1014   993   997  1003
#> [15,]   767   749   748   750   749   740   761   739   788   783   779   779
#> [16,]   556   543   527   549   545   536   534   529   577   557   557   557
#> [17,]   333   333   333   328   325   326   315   305   348   332   329   330
#> [18,]   111   112   111   105   106   111   106    92   126   111   112   112
#>       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>  [1,]  3826  3840  3857  3860  3827  3804  3847  3871  3846  3808  3850  3711
#>  [2,]  3311  3301  3162  3139  3076  3466  3070  3256  2797  3177  3188  3317
#>  [3,]  2655  2477  2465  2640  1878  1938  2381  2763  2315  2423  2910  3275
#>  [4,]  2539  2488  2799  2838  2499  2774  2194  2803  2872  2391  2732  2630
#>  [5,]  1616  1778  2076  2569  1900  1945  2302  1917  2602  2865  2823  2451
#>  [6,]  2162  2044  1890  2239  1885  2248  2434  1946  2266  2741  2677  2287
#>  [7,]  2454  1651  1706  1860  2112  2345  2038  1977  2134  2555  2420  2099
#>  [8,]  2228  1411  1848  1537  2023  2181  2163  2038  1922  2281  2291  1861
#>  [9,]  2056  1900  1725  1533  1968  2022  1855  1984  1715  2048  2067  1705
#> [10,]  1853  1825  1571  1547  1661  1800  1689  1801  1577  1819  1706  1465
#> [11,]  1673  1656  1587  1586  1494  1465  1529  1509  1377  1524  1577  1275
#> [12,]  1452  1449  1440  1416  1369  1351  1396  1367  1285  1318  1431  1264
#> [13,]  1219  1214  1215  1196  1191  1178  1149  1165  1173  1164  1223  1158
#> [14,]  1001   975   962   959   985   968   972   967   976   912   970   899
#> [15,]   780   778   781   746   763   767   766   754   766   756   760   770
#> [16,]   560   557   558   558   558   553   549   542   553   549   546   557
#> [17,]   330   331   336   333   336   336   332   336   333   328   334   331
#> [18,]   109   111   108   111   110   110   111   112   112   110   112   112
#>       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72]
#>  [1,]  3807  3792  3843  3577   625     0     0     0     0     0     0
#>  [2,]  3036  2970  3277  3100  3096   831     0     0     0     0     0
#>  [3,]  3207  2622  3068  2564  2568  3293  1815   366     0     0     0
#>  [4,]  2668  2056  2351  2726  2567  2766  2719  2680  1756  1334   980
#>  [5,]  2503  2832  2840  2943  2628  2284  2701  2402  2592  2639  2299
#>  [6,]  2038  2216  2779  2698  2521  2505  2549  2410  2113  2078  1897
#>  [7,]  2050  2257  2500  2537  2497  2562  2464  2384  2462  2076  2196
#>  [8,]  1940  2133  2187  2223  2235  2304  2211  2130  1962  1877  2015
#>  [9,]  1873  1925  1697  1531  1978  1969  1996  1625  1357  1850  2065
#> [10,]  1485  1692  1809  1568  1823  1698  1735  1715  1793  1779  1825
#> [11,]  1325  1416  1480   998  1476  1565  1522  1545  1446  1486  1614
#> [12,]  1128  1177   959  1142  1173  1333  1283  1181  1063   993  1167
#> [13,]  1191   887   860   852   873   900  1060  1000  1089  1161  1086
#> [14,]   917   852   905   896   900   864   848   911   975   983   972
#> [15,]   744   720   767   766   755   740   721   774   765   762   776
#> [16,]   542   526   564   532   537   529   551   556   550   540   550
#> [17,]   332   313   349   335   332   327   334   332   334   319   330
#> [18,]   110    93   128   110   112   105   105   104   105   107   104
#> 
#> $nRings
#> [1] 18
#> 
#> $nSectors
#> [1] 72
#> 

  # Use lens calibration
  sigma_cal <- gla_lens_sigma_8mm()
  gla_extract_gap_fraction(photo, radial_distortion = sigma_cal)
#> $gap_fraction
#>            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
#>  [1,]       NaN       NaN       NaN       NaN       NaN       NaN 1.0000000
#>  [2,]       NaN       NaN       NaN       NaN       NaN 1.0000000 0.9901667
#>  [3,]       NaN       NaN       NaN       NaN 0.6684636 0.8629798 0.9174992
#>  [4,]       NaN       NaN 0.9925187 0.9520767 0.8685495 0.8566678 0.7899634
#>  [5,] 0.8607255 0.7398844 0.7417264 0.8861234 0.8980566 0.8516877 0.8413511
#>  [6,] 0.8995385 0.8462358 0.8401421 0.7402274 0.7012433 0.7612629 0.8370028
#>  [7,] 0.7949775 0.8127820 0.6996241 0.7163787 0.7982720 0.7647501 0.7687100
#>  [8,] 0.7604457 0.8611111 0.7380103 0.7440476 0.7019421 0.7309221 0.8449643
#>  [9,] 0.9647463 0.9827809 0.9883671 0.9642396 0.9676724 0.9672414 0.9393287
#> [10,] 0.9685446 0.9627534 0.9435825 0.9496944 0.9533459 0.9797647 0.9740811
#> [11,] 0.9496366 0.9669763 0.9596899 0.9653926 0.9700568 0.9577537 0.9566340
#> [12,] 0.9118506 0.9532437 0.9573099 0.9689877 0.9731465 0.9718640 0.9813302
#> [13,] 0.9273475 0.9087791 0.9607978 0.9698010 0.9945093 1.0000000 1.0000000
#> [14,] 0.9635460 0.9676349 0.9942053 0.9933775 1.0000000 1.0000000 1.0000000
#> [15,] 0.9916493 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 0.9927114 1.0000000 1.0000000 0.9985465 0.9971056 0.9970888 1.0000000
#> [17,] 0.9804401 0.9975550 0.9731051 0.9731051 0.9511002 0.9467312 0.9606880
#> [18,] 0.9352518 0.9492754 0.9503546 0.9496403 0.9784173 0.9347826 0.9571429
#>            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
#>  [1,] 0.9877687 0.9956638 0.9933884 0.9946932 0.9946967 0.9960186 1.0000000
#>  [2,] 0.9951969 0.9929169 0.9993622 0.9859110 0.9929532 1.0000000 0.9794806
#>  [3,] 0.8730312 0.9119741 0.9413649 0.9128897 0.9407025 0.9800643 0.9150579
#>  [4,] 0.8125000 0.9181697 0.8360872 0.9205452 0.8760386 0.9112072 0.6788564
#>  [5,] 0.8592365 0.8671233 0.8171351 0.8248125 0.8880928 0.8830549 0.6818957
#>  [6,] 0.8738899 0.7407010 0.8763251 0.9282416 0.8597301 0.7942533 0.8284192
#>  [7,] 0.7500939 0.7269973 0.8187593 0.9192033 0.8762693 0.7493424 0.7122464
#>  [8,] 0.7007937 0.7024760 0.7649606 0.8841270 0.8655829 0.9097774 0.8783195
#>  [9,] 0.8811370 0.9276743 0.8963753 0.8807063 0.8975904 0.9331897 0.8978448
#> [10,] 0.9905838 0.9942857 0.9719233 0.9726930 0.9660697 0.9694118 0.9481621
#> [11,] 0.9586350 0.9583333 0.9458631 0.9436401 0.9292721 0.9453890 0.9179143
#> [12,] 0.9842105 0.9556999 0.9780474 0.9859649 0.9789965 0.9742087 0.9807356
#> [13,] 0.9931319 0.9839833 0.9979661 0.9979396 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9947589
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9927220 0.9826339
#> [17,] 0.9780488 0.9744246 0.9906977 0.9439024 0.9778870 0.9418886 0.9755501
#> [18,] 0.9500000 0.9831933 1.0000000 1.0000000 1.0000000 1.0000000 0.9784173
#>           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
#>  [1,] 0.9824329 0.9976783 0.9973457 0.9890656 0.9814447 0.9512276 0.9867330
#>  [2,] 0.9852706 0.9932864 0.9759846 0.9983979 0.9839795 0.9836695 0.9817775
#>  [3,] 0.8862758 0.9548824 0.9961353 0.9787508 0.9951706 0.9098229 0.9713181
#>  [4,] 0.8047160 0.8603723 0.8581395 0.9335327 0.9165836 0.8661130 0.7689495
#>  [5,] 0.8063416 0.8038881 0.8997955 0.9593857 0.8993174 0.8513974 0.9174625
#>  [6,] 0.7771855 0.9236234 0.8682528 0.9229677 0.8320909 0.9129972 0.9040853
#>  [7,] 0.7648385 0.7695489 0.7477444 0.8673163 0.8796852 0.9229323 0.8609023
#>  [8,] 0.9222222 0.8695997 0.9154762 0.9403104 0.9689614 0.9365079 0.9996036
#>  [9,] 0.9767342 0.8987505 0.9504950 0.9926913 0.9974205 0.9926819 0.9900905
#> [10,] 0.9943583 0.9967090 0.9919849 0.9967136 0.9962441 0.9773692 0.9905971
#> [11,] 0.9524793 0.9865633 0.9886481 0.9548287 0.9569055 0.9674923 0.9534884
#> [12,] 0.9906378 0.9660819 0.9731151 0.9620549 0.9918272 0.9736996 0.9988304
#> [13,] 0.9965683 0.9855571 0.9670782 1.0000000 1.0000000 0.9773663 1.0000000
#> [14,] 0.9503311 0.9917219 0.9858921 0.9925435 0.9975145 0.9676349 1.0000000
#> [15,] 0.9822176 0.9874477 0.9958203 1.0000000 0.9801670 0.9905956 0.9822176
#> [16,] 0.9985465 1.0000000 0.9883721 0.9752187 0.9664723 0.9622093 0.9420290
#> [17,] 0.9926650 1.0000000 0.9951100 0.9951100 0.9975550 0.9853301 0.9853301
#> [18,] 0.9856115 0.9645390 0.9710145 0.9568345 0.9784173 0.9637681 0.9716312
#>           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
#>  [1,] 0.9781240 0.9674959 0.9807565 0.9890620 0.9830846 0.9853235 0.9808264
#>  [2,] 0.9983990 0.9778775 0.9606274 0.9948751 0.9801473 0.9455892 0.9926658
#>  [3,] 0.8856314 0.9572072 0.9887460 0.9004189 0.9103182 0.9611650 0.9452099
#>  [4,] 0.9335769 0.9384973 0.8909212 0.8936524 0.8912899 0.9789579 0.8955717
#>  [5,] 0.9191954 0.9018070 0.8912376 0.9416581 0.9410361 0.9434932 0.9559770
#>  [6,] 0.9491827 0.9353464 0.9971621 0.9925426 0.9868561 0.9771102 0.9840989
#>  [7,] 0.8313298 0.9000751 0.9868470 0.9969914 0.9977452 0.9772813 0.9880419
#>  [8,] 0.9924603 0.9829568 0.9769475 0.9829500 0.9956349 0.9888179 0.9842520
#>  [9,] 0.9844894 0.9745690 0.9784483 0.9922547 0.9771748 0.9627544 0.9628998
#> [10,] 0.9619182 0.9514609 0.9270588 0.9434496 0.9585687 0.9866667 1.0000000
#> [11,] 0.9447314 0.9550852 0.9690881 0.9834796 1.0000000 1.0000000 1.0000000
#> [12,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [13,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 0.9968619 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 0.9956395 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 0.9856115 0.9928058 1.0000000 0.9928571 0.9857143 1.0000000 1.0000000
#>           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
#>  [1,] 0.9777613 0.9639640       NaN       NaN       NaN       NaN       NaN
#>  [2,] 0.9884726 0.9978623 1.0000000       NaN       NaN       NaN       NaN
#>  [3,] 0.9411765 0.9033194 0.9380933 0.7547170       NaN       NaN       NaN
#>  [4,] 0.8158245 0.8637421 0.8347190 0.7454672 0.8428115 0.9027431       NaN
#>  [5,] 0.9781868 0.9716820 0.9594272 0.9055574 0.9478350 0.9007165 0.8728324
#>  [6,] 0.9953819 0.9751420 0.9677190 0.7754885 0.7686567 0.7360568 0.9549006
#>  [7,] 0.9992484 0.9947349 0.9759489 0.9737040 0.9876033 0.9928571 0.9887218
#>  [8,] 0.9865079 1.0000000 0.9809221 0.9536266 0.9682540 0.9718589 0.9912698
#>  [9,] 0.9987080 0.9935456 0.9663793 0.9637931 0.9625162 0.9939681 0.9715885
#> [10,] 1.0000000 0.9948162 0.9769412 0.9820924 0.9830748 1.0000000 0.9863272
#> [11,] 1.0000000 0.9870934 0.9696033 0.9752194 0.9824380 1.0000000 0.9721362
#> [12,] 1.0000000 0.9830805 0.9542790 0.9591360 0.9537741 0.9970760 0.9859731
#> [13,] 1.0000000 0.9862826 0.9444063 0.9800961 0.9821551 0.9979367 0.9972565
#> [14,] 1.0000000 0.9983416 0.9875828 0.9958541 0.9544702 0.9586093 0.9726141
#> [15,] 0.9989572 1.0000000 0.9895178 0.9643606 0.9717573 0.9518828 0.9738767
#> [16,] 1.0000000 1.0000000 0.9927220 0.9927641 0.9738372 0.9739130 0.9723837
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 0.9928571 0.9927536 1.0000000 0.9928058 1.0000000 1.0000000
#>           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
#>  [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
#>  [2,]       NaN       NaN       NaN       NaN       NaN       NaN 1.0000000
#>  [3,]       NaN       NaN       NaN       NaN       NaN 0.7466307 0.8596781
#>  [4,]       NaN       NaN       NaN 0.9850374 0.8990415 0.8863319 0.8380446
#>  [5,] 0.9261084 0.9113300 0.7872832 0.7581030 0.7691783 0.6832595 0.7906580
#>  [6,] 0.9872204 0.9875754 0.8941761 0.6316163 0.6716418 0.7879218 0.8864846
#>  [7,] 0.9805097 0.9958771 0.9902256 0.9578947 0.9008264 0.9793388 0.8816234
#>  [8,] 0.9669717 0.9900517 0.9801587 0.9805787 0.9690476 0.9171621 0.9085851
#>  [9,] 0.9574377 0.9918315 0.9754628 0.9487290 0.9448514 0.9594828 0.9840517
#> [10,] 0.9755869 0.9708920 0.9646393 0.9511048 0.9417019 0.9745523 0.9623529
#> [11,] 0.9896158 0.9787124 0.9840041 0.9602067 0.9550620 0.9757357 0.9623905
#> [12,] 0.9970811 0.9667250 0.9824664 0.9771930 0.9730837 0.9830706 0.9554513
#> [13,] 1.0000000 0.9876628 0.9835391 0.9766162 0.9663693 0.9917639 0.9773507
#> [14,] 0.9817730 0.9908865 0.9933610 0.9759934 0.9453642 0.9444444 0.9321192
#> [15,] 0.9739040 0.9895616 0.9874608 0.9759414 0.9539749 0.9601677 0.9433962
#> [16,] 0.9956268 0.9912536 0.9941860 0.9521739 0.9462209 0.9782923 0.9723435
#> [17,] 1.0000000 1.0000000 0.9975550 0.9926650 0.9951100 0.9755501 0.9806295
#> [18,] 0.9928058 1.0000000 1.0000000 1.0000000 0.9928058 0.9568345 0.9347826
#>           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
#>  [1,] 0.7027027 0.9584878 0.9596398 0.9742149 0.9860697 0.9860789 0.9867286
#>  [2,] 0.9734929 0.9596542 0.9707019 0.9837372 0.9804675 0.9698911 0.9820743
#>  [3,] 0.7972929 0.7595628 0.8000000 0.7946171 0.8370299 0.7895585 0.8167203
#>  [4,] 0.8045862 0.9072473 0.8881096 0.9153999 0.8267952 0.8737122 0.7864982
#>  [5,] 0.8249744 0.7985685 0.8297945 0.8533695 0.6755283 0.7512794 0.7040573
#>  [6,] 0.8288352 0.8632327 0.6194564 0.6335689 0.6873890 0.7844460 0.7179851
#>  [7,] 0.9424596 0.8846298 0.7644832 0.7298206 0.5888764 0.7502821 0.8970312
#>  [8,] 0.9833466 0.8619048 0.8254792 0.6870079 0.5884921 0.6467090 0.8910970
#>  [9,] 0.9810671 0.9298019 0.8757038 0.8771855 0.8768303 0.8300344 0.9034483
#> [10,] 0.9632422 0.9515066 0.9261905 0.8703790 0.8813559 0.8364750 0.8865882
#> [11,] 0.9504388 0.9426060 0.9546875 0.9397344 0.8547053 0.8533815 0.9381762
#> [12,] 0.9527421 0.9777778 0.9480213 0.9630272 0.9567251 0.9539090 0.9747948
#> [13,] 0.9615912 0.9938187 0.9958217 0.9905085 0.9842033 0.9917695 0.9883322
#> [14,] 0.9626866 0.9875725 1.0000000 1.0000000 0.9966860 0.9958541 1.0000000
#> [15,] 0.9516807 0.9760167 0.9764454 0.9866530 0.9895725 0.9989496 1.0000000
#> [16,] 0.9623188 0.9564586 0.9776119 0.9915493 1.0000000 1.0000000 1.0000000
#> [17,] 0.9754300 0.9390244 0.9667519 0.9953488 0.9878049 0.9877150 0.9903148
#> [18,] 0.9928571 0.9571429 0.9747899 0.9685535 1.0000000 1.0000000 0.9927536
#>           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
#>  [1,] 0.9857380 0.9821014 0.9867330 0.9946914 0.9734924 0.9671968 0.9830790
#>  [2,] 0.9804424 0.9881524 0.9757033 0.9481268 0.9554630 0.9631528 0.9404419
#>  [3,] 0.8059846 0.7509665 0.6999678 0.7690821 0.5936896 0.7607856 0.6882448
#>  [4,] 0.8028590 0.7326470 0.7719415 0.8099668 0.6769691 0.6656697 0.6770764
#>  [5,] 0.5860893 0.6607569 0.8526603 0.8302658 0.7177474 0.7928328 0.7399455
#>  [6,] 0.6412078 0.6876333 0.6497336 0.8345170 0.6063188 0.6155485 0.7560369
#>  [7,] 0.8219384 0.6521412 0.6751880 0.7898496 0.7110195 0.8875562 0.8676692
#>  [8,] 0.9437178 0.6492063 0.6722156 0.7214286 0.8388380 0.8842021 0.8222222
#>  [9,] 0.9780172 0.6807411 0.7768203 0.6310805 0.8929493 0.9793637 0.8859234
#> [10,] 0.9622997 0.9374706 0.8349788 0.7831212 0.9281690 0.9417840 0.9165488
#> [11,] 0.9901910 0.9648760 0.8816537 0.8694530 0.8561786 0.9444444 0.8885449
#> [12,] 0.9982487 0.9988297 0.9707602 0.9573349 0.9065966 0.8674839 0.9409702
#> [13,] 1.0000000 1.0000000 0.9972490 0.9766804 0.9698424 0.9602467 0.9506173
#> [14,] 0.9958541 0.9801325 0.9850993 0.9742739 0.9776305 0.9527755 0.9510373
#> [15,] 0.9979036 0.9748954 0.9654812 0.9341693 0.9739040 0.9916493 0.9791014
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9839650 0.9796512
#> [17,] 0.9926650 0.9951100 1.0000000 1.0000000 1.0000000 1.0000000 0.9951100
#> [18,] 0.9712230 0.9928058 0.9716312 1.0000000 1.0000000 1.0000000 1.0000000
#>           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
#>  [1,] 0.9930348 0.9850845 0.9820896 0.9840743 0.9724892 0.9774461 0.9866578
#>  [2,] 0.9597187 0.9580532 0.9493427 0.9689501 0.9128764 0.9196286 0.9549259
#>  [3,] 0.7853690 0.5183634 0.6222651 0.8051447 0.9039639 0.8074574 0.6537217
#>  [4,] 0.8121676 0.7867818 0.7928856 0.7775191 0.9029578 0.9082447 0.6793587
#>  [5,] 0.8206003 0.9232867 0.8315718 0.9188544 0.8045036 0.8435583 0.8023973
#>  [6,] 0.6788632 0.8550107 0.9520426 0.9492728 0.8210227 0.7808171 0.8898426
#>  [7,] 0.6703008 0.7922615 0.9887303 0.9507704 0.8221136 0.7237880 0.8349110
#>  [8,] 0.8089576 0.8456349 0.9952438 0.9499205 0.7977795 0.8297619 0.8881789
#>  [9,] 0.8754847 0.8134425 0.9702586 0.9823276 0.8136833 0.8548665 0.9207449
#> [10,] 0.9511048 0.8251058 0.9599434 0.9614118 0.7756833 0.8394539 0.9233333
#> [11,] 0.9364341 0.7727273 0.9633454 0.9031427 0.7940114 0.8257497 0.8692708
#> [12,] 0.9128655 0.8777063 0.8879159 0.9548652 0.7893816 0.6859649 0.8895452
#> [13,] 0.9332875 0.9402883 0.9183253 0.9979410 0.9135802 0.9512363 0.7096100
#> [14,] 0.9735099 0.9544702 0.9328358 0.9751656 0.9029851 0.9411765 0.8298231
#> [15,] 0.9633891 0.9811715 0.9559748 0.9758910 0.9558824 0.9176225 0.9036403
#> [16,] 0.9565217 0.9854651 0.9884226 0.9868996 1.0000000 0.9579100 0.9686567
#> [17,] 0.9975550 0.9975550 0.9633252 0.9878935 0.9926290 0.9878049 0.9897698
#> [18,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9928571 0.9831933
#>           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]     [,70]
#>  [1,] 0.9950413 0.9977761 1.0000000       NaN       NaN       NaN       NaN
#>  [2,] 0.9508929 0.9862312 0.9811885 0.9913793       NaN       NaN       NaN
#>  [3,] 0.7737905 0.6052716 0.8105060 0.9517128 0.7331536       NaN       NaN
#>  [4,] 0.8463318 0.8354388 0.7736790 0.9198537 0.8643654 0.8460064 0.8229426
#>  [5,] 0.8242465 0.9236537 0.7543501 0.8039550 0.8915786 0.8840777 0.7714091
#>  [6,] 0.9487633 0.9715808 0.8860085 0.7992196 0.8777975 0.7402274 0.8039076
#>  [7,] 0.9828102 0.9642991 0.9439639 0.9293499 0.9485349 0.9135988 0.8172932
#>  [8,] 0.9795276 0.9936508 0.9738303 0.9984102 0.9575902 0.9269841 0.9532303
#>  [9,] 0.8946695 0.8983635 0.9453528 0.9767241 0.9344828 0.8724688 0.7449375
#> [10,] 0.8001872 0.6798493 0.9425071 0.9030588 0.9505184 0.7630465 0.7385990
#> [11,] 0.9530133 0.8748707 0.9328859 0.9232354 0.9106866 0.9504132 0.9478036
#> [12,] 0.7816291 0.5935673 0.8494749 0.9226260 0.9007589 0.8806319 0.7602339
#> [13,] 0.6684746 0.7355769 0.7962963 0.8071380 0.8496911 0.7961565 0.8356259
#> [14,] 0.7918367 0.8442419 0.7603648 0.8170530 0.8913765 0.8841060 0.9271523
#> [15,] 0.9209446 0.9155370 0.9611345 0.9371069 0.8731656 0.9497908 0.9811715
#> [16,] 0.9746479 0.9680697 0.9724638 0.9592431 0.9580318 0.9869186 0.9898551
#> [17,] 1.0000000 0.9853659 0.9852580 0.9539952 0.9828851 1.0000000 0.9902200
#> [18,] 0.9811321 0.9928571 0.9928571 0.9492754 0.9640288 0.9352518 0.9503546
#>           [,71]     [,72]
#>  [1,]       NaN       NaN
#>  [2,]       NaN       NaN
#>  [3,]       NaN       NaN
#>  [4,]       NaN       NaN
#>  [5,] 0.8304432 0.7836991
#>  [6,] 0.8160511 0.7124601
#>  [7,] 0.8026316 0.7057721
#>  [8,] 0.7793651 0.8499801
#>  [9,] 0.7899268 0.9062769
#> [10,] 0.9278642 0.9741784
#> [11,] 0.9509804 0.9719626
#> [12,] 0.8258328 0.9311150
#> [13,] 0.7421125 0.8135709
#> [14,] 0.9585062 0.9088650
#> [15,] 0.9853710 0.9937370
#> [16,] 0.9651163 0.9883382
#> [17,] 0.9657702 0.9853301
#> [18,] 0.9710145 0.9568345
#> 
#> $total_pixels
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,]    0    0    0    0    0    0  222 2698 2998  3025  3015  3017  3014
#>  [2,]    0    0    0    0    0  116 2339 3123 3106  3136  3123  3122  3124
#>  [3,]    0    0    0    0  371 2423 3103 3111 3090  3121  3111  3103  3110
#>  [4,]    0    0  401 1565 2868 3007 3009 3008 2994  3026  3008  3009  3007
#>  [5,] 2233 2595 2931 2933 2933 2933 2931 2934 2920  2953  2934  2931  2933
#>  [6,] 2817 2816 2815 2814 2815 2819 2816 2815 2796  2830  2815  2816  2819
#>  [7,] 2668 2660 2660 2662 2662 2661 2659 2661 2641  2676  2661  2659  2661
#>  [8,] 2513 2520 2523 2520 2523 2516 2522 2520 2504  2540  2520  2522  2516
#>  [9,] 2326 2323 2321 2321 2320 2320 2324 2322 2309  2345  2322  2324  2320
#> [10,] 2130 2121 2127 2127 2122 2125 2122 2124 2100  2137  2124  2122  2125
#> [11,] 1926 1938 1935 1936 1937 1941 1937 1934 1920  1958  1934  1937  1941
#> [12,] 1713 1711 1710 1709 1713 1706 1714 1710 1693  1731  1710  1714  1706
#> [13,] 1459 1458 1454 1457 1457 1457 1458 1456 1436  1475  1456  1458  1457
#> [14,] 1207 1205 1208 1208 1206 1208 1206 1207 1187  1225  1207  1206  1208
#> [15,]  958  957  956  956  954  954  952  959  934   974   959   952   954
#> [16,]  686  688  690  688  691  687  690  689  670   710   689   690   687
#> [17,]  409  409  409  409  409  413  407  410  391   430   410   407   413
#> [18,]  139  138  141  139  139  138  140  140  119   159   140   140   138
#>       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>  [1,]  3015  3017  3015  3014  3018  3018  3014  3015  3017  3015  3014  3017
#>  [2,]  3119  3123  3128  3123  3121  3121  3123  3128  3123  3119  3124  3122
#>  [3,]  3108  3104  3103  3105  3106  3106  3105  3103  3104  3108  3110  3103
#>  [4,]  3008  3011  3008  3010  3009  3009  3010  3008  3011  3008  3007  3009
#>  [5,]  2933  2933  2932  2934  2930  2930  2934  2932  2933  2933  2933  2931
#>  [6,]  2815  2814  2815  2816  2817  2817  2816  2815  2814  2815  2819  2816
#>  [7,]  2662  2662  2660  2660  2668  2668  2660  2660  2662  2662  2661  2659
#>  [8,]  2523  2520  2523  2520  2513  2513  2520  2523  2520  2523  2516  2522
#>  [9,]  2320  2321  2321  2323  2326  2326  2323  2321  2321  2320  2320  2324
#> [10,]  2122  2127  2127  2121  2130  2130  2121  2127  2127  2122  2125  2122
#> [11,]  1937  1936  1935  1938  1926  1926  1938  1935  1936  1937  1941  1937
#> [12,]  1713  1709  1710  1711  1713  1713  1711  1710  1709  1713  1706  1714
#> [13,]  1457  1457  1454  1458  1459  1459  1458  1454  1457  1457  1457  1458
#> [14,]  1206  1208  1208  1205  1207  1207  1205  1208  1208  1206  1208  1206
#> [15,]   954   956   956   957   958   958   957   956   956   954   954   952
#> [16,]   691   688   690   688   686   686   688   690   688   691   687   690
#> [17,]   409   409   409   409   409   409   409   409   409   409   413   407
#> [18,]   139   139   141   138   139   139   138   141   139   139   138   140
#>       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>  [1,]  3015  2998  3025  2698   222     0     0     0     0     0     0     0
#>  [2,]  3123  3106  3136  3123  2339   116     0     0     0     0     0     0
#>  [3,]  3111  3090  3121  3111  3103  2423   371     0     0     0     0     0
#>  [4,]  3008  2994  3026  3008  3009  3007  2868  1565   401     0     0     0
#>  [5,]  2934  2920  2953  2934  2931  2933  2933  2933  2931  2595  2233  2233
#>  [6,]  2815  2796  2830  2815  2816  2819  2815  2814  2815  2816  2817  2817
#>  [7,]  2661  2641  2676  2661  2659  2661  2662  2662  2660  2660  2668  2668
#>  [8,]  2520  2504  2540  2520  2522  2516  2523  2520  2523  2520  2513  2513
#>  [9,]  2322  2309  2345  2322  2324  2320  2320  2321  2321  2323  2326  2326
#> [10,]  2124  2100  2137  2124  2122  2125  2122  2127  2127  2121  2130  2130
#> [11,]  1934  1920  1958  1934  1937  1941  1937  1936  1935  1938  1926  1926
#> [12,]  1710  1693  1731  1710  1714  1706  1713  1709  1710  1711  1713  1713
#> [13,]  1456  1436  1475  1456  1458  1457  1457  1457  1454  1458  1459  1459
#> [14,]  1207  1187  1225  1207  1206  1208  1206  1208  1208  1205  1207  1207
#> [15,]   959   934   974   959   952   954   954   956   956   957   958   958
#> [16,]   689   670   710   689   690   687   691   688   690   688   686   686
#> [17,]   410   391   430   410   407   413   409   409   409   409   409   409
#> [18,]   140   119   159   140   140   138   139   139   141   138   139   139
#>       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>  [1,]     0     0     0     0     0   222  2698  2998  3025  3015  3017  3014
#>  [2,]     0     0     0     0   116  2339  3123  3106  3136  3123  3122  3124
#>  [3,]     0     0     0   371  2423  3103  3111  3090  3121  3111  3103  3110
#>  [4,]     0   401  1565  2868  3007  3009  3008  2994  3026  3008  3009  3007
#>  [5,]  2595  2931  2933  2933  2933  2931  2934  2920  2953  2934  2931  2933
#>  [6,]  2816  2815  2814  2815  2819  2816  2815  2796  2830  2815  2816  2819
#>  [7,]  2660  2660  2662  2662  2661  2659  2661  2641  2676  2661  2659  2661
#>  [8,]  2520  2523  2520  2523  2516  2522  2520  2504  2540  2520  2522  2516
#>  [9,]  2323  2321  2321  2320  2320  2324  2322  2309  2345  2322  2324  2320
#> [10,]  2121  2127  2127  2122  2125  2122  2124  2100  2137  2124  2122  2125
#> [11,]  1938  1935  1936  1937  1941  1937  1934  1920  1958  1934  1937  1941
#> [12,]  1711  1710  1709  1713  1706  1714  1710  1693  1731  1710  1714  1706
#> [13,]  1458  1454  1457  1457  1457  1458  1456  1436  1475  1456  1458  1457
#> [14,]  1205  1208  1208  1206  1208  1206  1207  1187  1225  1207  1206  1208
#> [15,]   957   956   956   954   954   952   959   934   974   959   952   954
#> [16,]   688   690   688   691   687   690   689   670   710   689   690   687
#> [17,]   409   409   409   409   413   407   410   391   430   410   407   413
#> [18,]   138   141   139   139   138   140   140   119   159   140   140   138
#>       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>  [1,]  3015  3017  3015  3014  3018  3018  3014  3015  3017  3015  3014  3017
#>  [2,]  3119  3123  3128  3123  3121  3121  3123  3128  3123  3119  3124  3122
#>  [3,]  3108  3104  3103  3105  3106  3106  3105  3103  3104  3108  3110  3103
#>  [4,]  3008  3011  3008  3010  3009  3009  3010  3008  3011  3008  3007  3009
#>  [5,]  2933  2933  2932  2934  2930  2930  2934  2932  2933  2933  2933  2931
#>  [6,]  2815  2814  2815  2816  2817  2817  2816  2815  2814  2815  2819  2816
#>  [7,]  2662  2662  2660  2660  2668  2668  2660  2660  2662  2662  2661  2659
#>  [8,]  2523  2520  2523  2520  2513  2513  2520  2523  2520  2523  2516  2522
#>  [9,]  2320  2321  2321  2323  2326  2326  2323  2321  2321  2320  2320  2324
#> [10,]  2122  2127  2127  2121  2130  2130  2121  2127  2127  2122  2125  2122
#> [11,]  1937  1936  1935  1938  1926  1926  1938  1935  1936  1937  1941  1937
#> [12,]  1713  1709  1710  1711  1713  1713  1711  1710  1709  1713  1706  1714
#> [13,]  1457  1457  1454  1458  1459  1459  1458  1454  1457  1457  1457  1458
#> [14,]  1206  1208  1208  1205  1207  1207  1205  1208  1208  1206  1208  1206
#> [15,]   954   956   956   957   958   958   957   956   956   954   954   952
#> [16,]   691   688   690   688   686   686   688   690   688   691   687   690
#> [17,]   409   409   409   409   409   409   409   409   409   409   413   407
#> [18,]   139   139   141   138   139   139   138   141   139   139   138   140
#>       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72]
#>  [1,]  3015  2998  3025  2698   222     0     0     0     0     0     0
#>  [2,]  3123  3106  3136  3123  2339   116     0     0     0     0     0
#>  [3,]  3111  3090  3121  3111  3103  2423   371     0     0     0     0
#>  [4,]  3008  2994  3026  3008  3009  3007  2868  1565   401     0     0
#>  [5,]  2934  2920  2953  2934  2931  2933  2933  2933  2931  2595  2233
#>  [6,]  2815  2796  2830  2815  2816  2819  2815  2814  2815  2816  2817
#>  [7,]  2661  2641  2676  2661  2659  2661  2662  2662  2660  2660  2668
#>  [8,]  2520  2504  2540  2520  2522  2516  2523  2520  2523  2520  2513
#>  [9,]  2322  2309  2345  2322  2324  2320  2320  2321  2321  2323  2326
#> [10,]  2124  2100  2137  2124  2122  2125  2122  2127  2127  2121  2130
#> [11,]  1934  1920  1958  1934  1937  1941  1937  1936  1935  1938  1926
#> [12,]  1710  1693  1731  1710  1714  1706  1713  1709  1710  1711  1713
#> [13,]  1456  1436  1475  1456  1458  1457  1457  1457  1454  1458  1459
#> [14,]  1207  1187  1225  1207  1206  1208  1206  1208  1208  1205  1207
#> [15,]   959   934   974   959   952   954   954   956   956   957   958
#> [16,]   689   670   710   689   690   687   691   688   690   688   686
#> [17,]   410   391   430   410   407   413   409   409   409   409   409
#> [18,]   140   119   159   140   140   138   139   139   141   138   139
#> 
#> $gap_pixels
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,]    0    0    0    0    0    0  222 2665 2985  3005  2999  3001  3002
#>  [2,]    0    0    0    0    0  116 2316 3108 3084  3134  3079  3100  3124
#>  [3,]    0    0    0    0  248 2091 2847 2716 2818  2938  2840  2919  3048
#>  [4,]    0    0  398 1490 2491 2576 2377 2444 2749  2530  2769  2636  2740
#>  [5,] 1922 1920 2174 2599 2634 2498 2466 2521 2532  2413  2420  2603  2590
#>  [6,] 2534 2383 2365 2083 1974 2146 2357 2460 2071  2480  2613  2421  2239
#>  [7,] 2121 2162 1861 1907 2125 2035 2044 1996 1920  2191  2446  2330  1994
#>  [8,] 1911 2170 1862 1875 1771 1839 2131 1766 1759  1943  2228  2183  2289
#>  [9,] 2244 2283 2294 2238 2245 2244 2183 2046 2142  2102  2045  2086  2165
#> [10,] 2063 2042 2007 2020 2023 2082 2067 2104 2088  2077  2066  2050  2060
#> [11,] 1829 1874 1857 1869 1879 1859 1853 1854 1840  1852  1825  1800  1835
#> [12,] 1562 1631 1637 1656 1667 1658 1682 1683 1618  1693  1686  1678  1662
#> [13,] 1353 1325 1397 1413 1449 1457 1458 1446 1413  1472  1453  1458  1457
#> [14,] 1163 1166 1201 1200 1206 1208 1206 1207 1187  1225  1207  1206  1208
#> [15,]  950  957  956  956  954  954  952  959  934   974   959   952   954
#> [16,]  681  688  690  687  689  685  690  689  670   710   689   690   682
#> [17,]  401  408  398  398  389  391  391  401  381   426   387   398   389
#> [18,]  130  131  134  132  136  129  134  133  117   159   140   140   138
#>       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>  [1,]  3015  2964  3008  3006  2985  2962  2867  2975  2951  2917  2956  2984
#>  [2,]  3055  3077  3107  3048  3116  3071  3072  3071  3118  3050  3001  3106
#>  [3,]  2844  2751  2963  3093  3040  3091  2825  3014  2749  2975  3075  2794
#>  [4,]  2042  2423  2588  2583  2809  2758  2607  2313  2811  2823  2679  2689
#>  [5,]  2000  2365  2357  2640  2811  2635  2498  2690  2696  2645  2614  2760
#>  [6,]  2332  2187  2600  2445  2600  2344  2571  2545  2671  2633  2811  2795
#>  [7,]  1896  2036  2047  1989  2314  2347  2455  2290  2213  2396  2626  2651
#>  [8,]  2216  2324  2194  2307  2363  2435  2360  2522  2501  2480  2458  2479
#>  [9,]  2083  2267  2086  2208  2309  2320  2306  2298  2285  2261  2270  2306
#> [10,]  2012  2115  2120  2104  2123  2122  2073  2107  2046  2019  1970  2002
#> [11,]  1778  1844  1909  1916  1839  1843  1875  1845  1829  1850  1881  1905
#> [12,]  1680  1693  1652  1665  1648  1699  1666  1708  1709  1713  1706  1714
#> [13,]  1457  1452  1433  1410  1459  1459  1425  1454  1457  1457  1457  1458
#> [14,]  1206  1148  1198  1188  1198  1204  1166  1208  1208  1206  1208  1206
#> [15,]   949   939   944   953   958   939   948   939   953   954   954   952
#> [16,]   679   687   690   680   669   663   662   650   685   691   687   690
#> [17,]   399   406   409   407   407   408   403   403   409   409   413   407
#> [18,]   136   137   136   134   133   136   133   137   137   138   138   139
#>       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>  [1,]  2964  2954  2967  2638   214     0     0     0     0     0     0     0
#>  [2,]  3061  2937  3113  3087  2334   116     0     0     0     0     0     0
#>  [3,]  2832  2970  2950  2928  2803  2273   280     0     0     0     0     0
#>  [4,]  2681  2931  2710  2454  2599  2510  2138  1319   362     0     0     0
#>  [5,]  2761  2755  2823  2870  2848  2814  2656  2780  2640  2265  2068  2035
#>  [6,]  2778  2732  2785  2802  2746  2728  2183  2163  2072  2689  2781  2782
#>  [7,]  2655  2581  2644  2659  2645  2597  2592  2629  2641  2630  2616  2657
#>  [8,]  2509  2476  2500  2486  2522  2468  2406  2440  2452  2498  2430  2488
#>  [9,]  2269  2223  2258  2319  2309  2242  2236  2234  2307  2257  2227  2307
#> [10,]  2036  2072  2137  2124  2111  2076  2084  2091  2127  2092  2078  2068
#> [11,]  1934  1920  1958  1934  1912  1882  1889  1902  1935  1884  1906  1885
#> [12,]  1710  1693  1731  1710  1685  1628  1643  1630  1705  1687  1708  1656
#> [13,]  1456  1436  1475  1456  1438  1376  1428  1431  1451  1454  1459  1441
#> [14,]  1207  1187  1225  1207  1204  1193  1201  1153  1158  1172  1185  1196
#> [15,]   959   934   974   958   952   944   920   929   910   932   933   948
#> [16,]   689   670   710   689   690   682   686   670   672   669   683   680
#> [17,]   410   391   430   410   407   413   409   409   409   409   409   409
#> [18,]   138   119   159   140   139   137   139   138   141   138   138   139
#>       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>  [1,]     0     0     0     0     0   156  2586  2877  2947  2973  2975  2974
#>  [2,]     0     0     0     0   116  2277  2997  3015  3085  3062  3028  3068
#>  [3,]     0     0     0   277  2083  2474  2363  2472  2480  2604  2450  2540
#>  [4,]     0   395  1407  2542  2520  2421  2729  2659  2770  2487  2629  2365
#>  [5,]  2043  2222  2256  2004  2319  2418  2343  2423  2520  1982  2202  2065
#>  [6,]  2518  1778  1890  2218  2499  2334  2430  1732  1793  1935  2209  2024
#>  [7,]  2634  2548  2398  2607  2346  2506  2354  2019  1953  1567  1995  2387
#>  [8,]  2470  2474  2442  2314  2286  2480  2172  2067  1745  1483  1631  2242
#>  [9,]  2266  2202  2193  2226  2283  2280  2159  2022  2057  2036  1929  2096
#> [10,]  2046  2023  2003  2068  2045  2044  2021  1945  1860  1872  1775  1884
#> [11,]  1907  1858  1849  1890  1868  1841  1823  1833  1840  1653  1653  1821
#> [12,]  1681  1671  1663  1684  1630  1633  1672  1605  1667  1636  1635  1663
#> [13,]  1434  1420  1408  1445  1424  1402  1447  1430  1461  1433  1446  1440
#> [14,]  1197  1179  1142  1139  1126  1161  1192  1187  1225  1203  1201  1208
#> [15,]   945   933   912   916   900   906   936   912   961   949   951   954
#> [16,]   684   657   651   676   668   664   659   655   704   689   690   687
#> [17,]   408   406   407   399   405   397   385   378   428   405   402   409
#> [18,]   138   141   138   133   129   139   134   116   154   140   140   137
#>       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>  [1,]  2972  2963  2975  2998  2938  2919  2963  2994  2972  2961  2966  2934
#>  [2,]  3058  3086  3052  2961  2982  3006  2937  3002  2992  2961  3027  2850
#>  [3,]  2505  2331  2172  2388  1844  2363  2137  2437  1609  1934  2504  2805
#>  [4,]  2415  2206  2322  2438  2037  2003  2038  2443  2369  2385  2338  2717
#>  [5,]  1719  1938  2500  2436  2103  2323  2171  2406  2708  2439  2695  2358
#>  [6,]  1805  1935  1829  2350  1708  1734  2129  1911  2406  2680  2676  2312
#>  [7,]  2188  1736  1796  2101  1897  2368  2308  1783  2109  2632  2530  2186
#>  [8,]  2381  1636  1696  1818  2108  2222  2072  2041  2131  2511  2390  2012
#>  [9,]  2269  1580  1803  1466  2077  2278  2058  2032  1888  2251  2279  1891
#> [10,]  2042  1994  1776  1661  1977  2006  1944  2023  1755  2037  2043  1646
#> [11,]  1918  1868  1706  1685  1649  1819  1722  1812  1496  1866  1753  1538
#> [12,]  1710  1707  1660  1638  1553  1486  1610  1561  1500  1521  1629  1353
#> [13,]  1457  1457  1450  1424  1415  1401  1386  1357  1370  1338  1454  1332
#> [14,]  1201  1184  1190  1174  1180  1150  1146  1176  1153  1125  1178  1089
#> [15,]   952   932   923   894   933   950   937   921   938   912   931   910
#> [16,]   691   688   690   688   686   675   674   660   678   683   678   690
#> [17,]   406   407   409   409   409   409   407   408   408   394   408   404
#> [18,]   135   138   137   138   139   139   138   141   139   139   138   140
#>       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72]
#>  [1,]  2947  2958  3010  2692   222     0     0     0     0     0     0
#>  [2,]  2872  2966  2982  3080  2295   115     0     0     0     0     0
#>  [3,]  2512  2020  2415  1883  2515  2306   272     0     0     0     0
#>  [4,]  2732  2034  2561  2513  2328  2766  2479  1324   330     0     0
#>  [5,]  2475  2343  2434  2710  2211  2358  2615  2593  2261  2155  1750
#>  [6,]  2198  2488  2685  2735  2495  2253  2471  2083  2263  2298  2007
#>  [7,]  1926  2205  2630  2566  2510  2473  2525  2432  2174  2135  1883
#>  [8,]  2091  2224  2488  2504  2456  2512  2416  2336  2405  1964  2136
#>  [9,]  1985  2126  2098  2086  2197  2266  2168  2025  1729  1835  2108
#> [10,]  1783  1939  1710  1444  2000  1919  2017  1623  1571  1968  2075
#> [11,]  1597  1669  1866  1692  1807  1792  1764  1840  1834  1843  1872
#> [12,]  1173  1506  1353  1015  1456  1574  1543  1505  1300  1413  1595
#> [13,]  1385  1019   986  1071  1161  1176  1238  1160  1215  1082  1187
#> [14,]  1136   985   970  1019   917   987  1075  1068  1120  1155  1097
#> [15,]   880   844   897   878   915   894   833   908   938   943   952
#> [16,]   660   649   692   667   671   659   662   679   683   664   678
#> [17,]   405   387   430   404   401   394   402   409   405   395   403
#> [18,]   139   117   156   139   139   131   134   130   134   134   133
#> 
#> $nRings
#> [1] 18
#> 
#> $nSectors
#> [1] 72
#> 
# }