Align shape using baseline/Bookstein registration with specified landmarks.
Details
coo_bookstein() is an alias for coo_baseline() with default target positions
at (-0.5, 0) and (0.5, 0) for standardized alignment.
Note: These functions do not use the make_coo_function dispatcher as they
require specific landmark indices.
Examples
# Bookstein registration using first and last points
coo_bookstein(shapes$cat, id1 = 1, id2 = 120)
#> [,1] [,2]
#> [1,] -0.5000000 0.000000e+00
#> [2,] -2.5000000 -3.314491e-17
#> [3,] -1.8846154 -9.230769e-01
#> [4,] -1.4230769 -2.615385e+00
#> [5,] -2.3461538 -4.230769e+00
#> [6,] -4.1153846 -4.076923e+00
#> [7,] -4.8846154 -2.923077e+00
#> [8,] -6.0384615 -1.692308e+00
#> [9,] -6.9615385 -3.076923e-01
#> [10,] -7.8846154 1.076923e+00
#> [11,] -8.5769231 2.615385e+00
#> [12,] -9.5000000 4.000000e+00
#> [13,] -10.4230769 5.384615e+00
#> [14,] -11.3461538 6.769231e+00
#> [15,] -12.2692308 8.153846e+00
#> [16,] -12.9615385 9.692308e+00
#> [17,] -14.1153846 9.923077e+00
#> [18,] -15.4230769 9.384615e+00
#> [19,] -16.3461538 7.769231e+00
#> [20,] -16.7307692 5.846154e+00
#> [21,] -16.2692308 4.153846e+00
#> [22,] -15.8076923 2.461538e+00
#> [23,] -15.1153846 9.230769e-01
#> [24,] -14.4230769 -6.153846e-01
#> [25,] -13.5000000 -2.000000e+00
#> [26,] -12.3461538 -3.230769e+00
#> [27,] -11.1923077 -4.461538e+00
#> [28,] -10.0384615 -5.692308e+00
#> [29,] -9.2692308 -6.846154e+00
#> [30,] -9.1923077 -8.461538e+00
#> [31,] -11.0384615 -7.692308e+00
#> [32,] -12.4230769 -6.615385e+00
#> [33,] -13.8076923 -5.538462e+00
#> [34,] -14.9615385 -4.307692e+00
#> [35,] -16.1153846 -3.076923e+00
#> [36,] -17.0384615 -1.692308e+00
#> [37,] -17.9615385 -3.076923e-01
#> [38,] -18.6538462 1.230769e+00
#> [39,] -19.3461538 2.769231e+00
#> [40,] -19.6538462 4.230769e+00
#> [41,] -19.8846154 6.076923e+00
#> [42,] -19.6538462 8.230769e+00
#> [43,] -18.8846154 1.007692e+01
#> [44,] -17.9615385 1.169231e+01
#> [45,] -16.5769231 1.261538e+01
#> [46,] -15.1923077 1.353846e+01
#> [47,] -13.5000000 1.400000e+01
#> [48,] -11.6538462 1.423077e+01
#> [49,] -10.1153846 1.492308e+01
#> [50,] -8.7307692 1.584615e+01
#> [51,] -7.7307692 1.684615e+01
#> [52,] -6.5000000 1.800000e+01
#> [53,] -5.1153846 1.892308e+01
#> [54,] -3.8846154 2.007692e+01
#> [55,] -2.5000000 2.100000e+01
#> [56,] -1.1153846 2.192308e+01
#> [57,] 0.4230769 2.261538e+01
#> [58,] 1.8076923 2.353846e+01
#> [59,] 3.5000000 2.400000e+01
#> [60,] 5.3461538 2.423077e+01
#> [61,] 7.1923077 2.446154e+01
#> [62,] 8.6538462 2.476923e+01
#> [63,] 10.6538462 2.476923e+01
#> [64,] 12.8076923 2.453846e+01
#> [65,] 15.1153846 2.407692e+01
#> [66,] 16.7307692 2.315385e+01
#> [67,] 18.1153846 2.207692e+01
#> [68,] 19.7307692 2.115385e+01
#> [69,] 21.8076923 2.053846e+01
#> [70,] 23.9615385 2.030769e+01
#> [71,] 25.8076923 2.053846e+01
#> [72,] 26.9615385 2.130769e+01
#> [73,] 28.5000000 2.200000e+01
#> [74,] 30.1923077 2.246154e+01
#> [75,] 32.0384615 2.269231e+01
#> [76,] 34.1153846 2.207692e+01
#> [77,] 35.9615385 2.130769e+01
#> [78,] 37.8076923 2.153846e+01
#> [79,] 39.8076923 2.153846e+01
#> [80,] 41.7307692 2.115385e+01
#> [81,] 41.1923077 1.946154e+01
#> [82,] 39.9615385 1.830769e+01
#> [83,] 38.8076923 1.753846e+01
#> [84,] 38.1923077 1.646154e+01
#> [85,] 38.4230769 1.461538e+01
#> [86,] 38.2692308 1.284615e+01
#> [87,] 37.8846154 1.092308e+01
#> [88,] 37.7307692 9.153846e+00
#> [89,] 36.1923077 8.461538e+00
#> [90,] 34.1923077 8.461538e+00
#> [91,] 32.1153846 9.076923e+00
#> [92,] 30.5000000 9.000000e+00
#> [93,] 29.1153846 8.076923e+00
#> [94,] 28.1153846 7.076923e+00
#> [95,] 26.8846154 5.923077e+00
#> [96,] 25.5000000 5.000000e+00
#> [97,] 24.1153846 4.076923e+00
#> [98,] 22.7307692 3.153846e+00
#> [99,] 21.0384615 2.692308e+00
#> [100,] 19.0384615 2.692308e+00
#> [101,] 17.0384615 2.692308e+00
#> [102,] 15.1923077 2.461538e+00
#> [103,] 13.5000000 2.000000e+00
#> [104,] 11.9615385 1.307692e+00
#> [105,] 10.8076923 5.384615e-01
#> [106,] 9.4230769 -3.846154e-01
#> [107,] 8.0384615 -1.307692e+00
#> [108,] 6.6538462 -2.230769e+00
#> [109,] 5.2692308 -3.153846e+00
#> [110,] 4.0384615 -4.307692e+00
#> [111,] 3.1923077 -5.538462e+00
#> [112,] 3.6538462 -7.230769e+00
#> [113,] 2.8076923 -8.461538e+00
#> [114,] 1.1153846 -8.923077e+00
#> [115,] -0.7307692 -8.153846e+00
#> [116,] -1.5000000 -7.000000e+00
#> [117,] -1.9615385 -5.307692e+00
#> [118,] -1.3461538 -3.230769e+00
#> [119,] -0.5769231 -1.384615e+00
#> [120,] 0.5000000 1.657245e-17
# Custom baseline with target positions
coo_baseline(shapes$cat, id1 = 1, id2 = 60, t1 = c(0, 0), t2 = c(1, 0))
#> [,1] [,2]
#> [1,] 0.000000000 0.000000e+00
#> [2,] -0.018818868 7.799926e-02
#> [3,] -0.049028104 4.531385e-02
#> [4,] -0.110684660 1.139037e-02
#> [5,] -0.182369692 3.219017e-02
#> [6,] -0.193017209 1.026371e-01
#> [7,] -0.155255664 1.434939e-01
#> [8,] -0.118113161 2.000743e-01
#> [9,] -0.072799307 2.491024e-01
#> [10,] -0.027485453 2.981305e-01
#> [11,] 0.025999752 3.396063e-01
#> [12,] 0.071313607 3.886344e-01
#> [13,] 0.116627461 4.376625e-01
#> [14,] 0.161941315 4.866906e-01
#> [15,] 0.207255169 5.357187e-01
#> [16,] 0.260740374 5.771945e-01
#> [17,] 0.258883249 6.243655e-01
#> [18,] 0.225578804 6.702984e-01
#> [19,] 0.153893772 6.910982e-01
#> [20,] 0.075275474 6.880030e-01
#> [21,] 0.013618918 6.540795e-01
#> [22,] -0.048037638 6.201560e-01
#> [23,] -0.101522843 5.786802e-01
#> [24,] -0.155008048 5.372044e-01
#> [25,] -0.200321902 4.881763e-01
#> [26,] -0.237464405 4.315959e-01
#> [27,] -0.274606909 3.750155e-01
#> [28,] -0.311749412 3.184351e-01
#> [29,] -0.349510957 2.775783e-01
#> [30,] -0.411786554 2.593785e-01
#> [31,] -0.399158103 3.386158e-01
#> [32,] -0.370186951 4.027485e-01
#> [33,] -0.341215798 4.668813e-01
#> [34,] -0.304073295 5.234617e-01
#> [35,] -0.266930791 5.800421e-01
#> [36,] -0.221616937 6.290702e-01
#> [37,] -0.176303083 6.780983e-01
#> [38,] -0.122817878 7.195741e-01
#> [39,] -0.069332673 7.610499e-01
#> [40,] -0.015228426 7.868020e-01
#> [41,] 0.054599480 8.131732e-01
#> [42,] 0.140770088 8.244398e-01
#> [43,] 0.220007429 8.118113e-01
#> [44,] 0.291692460 7.910115e-01
#> [45,] 0.340720565 7.456977e-01
#> [46,] 0.389748669 7.003838e-01
#> [47,] 0.423672156 6.387273e-01
#> [48,] 0.450043333 5.688993e-01
#> [49,] 0.491519128 5.154141e-01
#> [50,] 0.540547233 4.701003e-01
#> [51,] 0.588956296 4.405101e-01
#> [52,] 0.645536709 4.033676e-01
#> [53,] 0.694564814 3.580537e-01
#> [54,] 0.751145227 3.209112e-01
#> [55,] 0.800173332 2.755974e-01
#> [56,] 0.849201436 2.302835e-01
#> [57,] 0.890677232 1.767983e-01
#> [58,] 0.939705336 1.314845e-01
#> [59,] 0.973628823 6.982791e-02
#> [60,] 1.000000000 -5.837524e-17
#> [61,] 1.026371177 -6.982791e-02
#> [62,] 1.052123313 -1.239322e-01
#> [63,] 1.070942182 -2.019314e-01
#> [64,] 1.082208741 -2.881020e-01
#> [65,] 1.085922991 -3.824440e-01
#> [66,] 1.065123189 -4.541290e-01
#> [67,] 1.036152037 -5.182617e-01
#> [68,] 1.015352235 -5.899468e-01
#> [69,] 1.010895134 -6.767364e-01
#> [70,] 1.022161694 -7.629070e-01
#> [71,] 1.048532871 -8.327349e-01
#> [72,] 1.089389625 -8.704965e-01
#> [73,] 1.130865420 -9.239817e-01
#> [74,] 1.164788907 -9.856382e-01
#> [75,] 1.191160084 -1.055466e+00
#> [76,] 1.186702984 -1.142256e+00
#> [77,] 1.174074533 -1.221493e+00
#> [78,] 1.200445710 -1.291321e+00
#> [79,] 1.219264578 -1.369320e+00
#> [80,] 1.222359787 -1.447939e+00
#> [81,] 1.151293797 -1.442862e+00
#> [82,] 1.094713384 -1.405720e+00
#> [83,] 1.053856630 -1.367958e+00
#> [84,] 1.006066609 -1.354092e+00
#> [85,] 0.936238702 -1.380463e+00
#> [86,] 0.865791754 -1.391111e+00
#> [87,] 0.787173455 -1.394206e+00
#> [88,] 0.716726507 -1.404853e+00
#> [89,] 0.675250712 -1.351368e+00
#> [90,] 0.656431844 -1.273369e+00
#> [91,] 0.660888944 -1.186579e+00
#> [92,] 0.642689117 -1.124304e+00
#> [93,] 0.593661013 -1.078990e+00
#> [94,] 0.545251950 -1.049400e+00
#> [95,] 0.488671536 -1.012257e+00
#> [96,] 0.439643432 -9.669432e-01
#> [97,] 0.390615327 -9.216293e-01
#> [98,] 0.341587223 -8.763155e-01
#> [99,] 0.307663737 -8.146589e-01
#> [100,] 0.288844868 -7.366597e-01
#> [101,] 0.270026000 -6.586604e-01
#> [102,] 0.243654822 -5.888325e-01
#> [103,] 0.209731336 -5.271759e-01
#> [104,] 0.168255540 -4.736907e-01
#> [105,] 0.127398787 -4.359292e-01
#> [106,] 0.078370682 -3.906153e-01
#> [107,] 0.029342578 -3.453015e-01
#> [108,] -0.019685527 -2.999876e-01
#> [109,] -0.068713631 -2.546738e-01
#> [110,] -0.125294045 -2.175313e-01
#> [111,] -0.181255417 -1.961124e-01
#> [112,] -0.242911972 -2.300359e-01
#> [113,] -0.298873344 -2.086171e-01
#> [114,] -0.332796831 -1.469605e-01
#> [115,] -0.320168379 -6.772316e-02
#> [116,] -0.282406834 -2.686641e-02
#> [117,] -0.220750279 7.057076e-03
#> [118,] -0.133960629 2.599975e-03
#> [119,] -0.054723288 -1.002848e-02
#> [120,] 0.009409434 -3.899963e-02