=== SAVED CAST: chop_1_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.6247, 1.0000)
  [ 1]  (0.6034, 0.9407)
  [ 2]  (0.5820, 0.8813)
  [ 3]  (0.5691, 0.8197)
  [ 4]  (0.5569, 0.7578)
  [ 5]  (0.5448, 0.6959)
  [ 6]  (0.5342, 0.6338)
  [ 7]  (0.5285, 0.5710)
  [ 8]  (0.5227, 0.5082)
  [ 9]  (0.5187, 0.4453)
  [10]  (0.5187, 0.3822)
  [11]  (0.5187, 0.3192)
  [12]  (0.6247, 0.0157)
  [13]  (0.6815, 0.0000)
  [14]  (0.7201, 0.0422)
  [15]  (0.7254, 0.0964)
  [16]  (0.6961, 0.1438)
  [17]  (0.6357, 0.1526)
  [18]  (0.5752, 0.1615)
  [19]  (0.5356, 0.1207)
  [20]  (0.5466, 0.0667)
  [21]  (0.5843, 0.0265)
  [22]  (0.6443, 0.0144)
  [23]  (0.7028, 0.0212)
  [24]  (0.6247, 0.8902)
  [25]  (0.6131, 0.8463)
  [26]  (0.6033, 0.8021)
  [27]  (0.5974, 0.7570)
  [28]  (0.5915, 0.7120)
  [29]  (0.5856, 0.6670)
  [30]  (0.5799, 0.6219)
  [31]  (0.5743, 0.5769)
  [32]  (0.5687, 0.5318)
  [33]  (0.5632, 0.4867)
  [34]  (0.5597, 0.4415)
  [35]  (0.5577, 0.3961)
  [36]  (0.6247, 0.3737)
  [37]  (0.5930, 0.3793)
  [38]  (0.5613, 0.3849)
  [39]  (0.5296, 0.3904)
  [40]  (0.4975, 0.3930)
  [41]  (0.4653, 0.3957)
  [42]  (0.4332, 0.3983)
  [43]  (0.4011, 0.4009)
  [44]  (0.3690, 0.4029)
  [45]  (0.3372, 0.3991)
  [46]  (0.3059, 0.3915)
  [47]  (0.2746, 0.3840)
  [48]  (0.6247, 0.2101)
  [49]  (0.5975, 0.2065)
  [50]  (0.5703, 0.2028)
  [51]  (0.5431, 0.1992)
  [52]  (0.5158, 0.1975)
  [53]  (0.4883, 0.1969)
  [54]  (0.4609, 0.1964)
  [55]  (0.4335, 0.1959)
  [56]  (0.4060, 0.1954)
  [57]  (0.3786, 0.1954)
  [58]  (0.3511, 0.1956)
  [59]  (0.3237, 0.1959)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.6247, 0.0157)  angle=55.3 deg
  V1  (0.6815, 0.0000)  angle=63.0 deg
  V2  (0.7201, 0.0422)  angle=36.8 deg
  V3  (0.7254, 0.0964)  angle=37.2 deg
  V4  (0.6961, 0.1438)  angle=50.0 deg
  V5  (0.5752, 0.1615)  angle=54.2 deg
  V6  (0.5356, 0.1207)  angle=55.7 deg
  V7  (0.5466, 0.0667)  angle=31.6 deg
  V8  (0.5843, 0.0265)  angle=35.4 deg
  V9  (0.7028, 0.0212)  angle=88.5 deg
  V10  (0.6247, 0.8902)  angle=160.0 deg
  V11  (0.5577, 0.3961)  angle=74.0 deg
  V12  (0.6247, 0.3737)  angle=171.5 deg
  V13  (0.2746, 0.3840)  angle=140.0 deg
  V14  (0.6247, 0.2101)  angle=146.0 deg

--- SUGGESTED DOT TEMPLATE FORMAT ---
// Paste into SpellGestureTracker.java getDotTemplates():
new DotTemplate(DetectedPattern.SPELL_NAME, "description",
    new double[][] {
        // pick key dots from vertices above
    },
    new int[][] {
        // define connections between dots
    }
),
