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Table 3 RMSD of positional errors of the L x detector for the noisy ideal slopes, without considering noise threshold

From: A one-dimensional slope detection approach

std n Pre-smooth Erf Tanh Sigmoid Ramp Step Arctan
0.001 1 92.1 96.31 88.28 94.26 145.67 95.77
4 8.92 8.14 51.64 13.01 0.58 81.91
64 0.3 0.3 0.3 0.41 0.58 0.3
0.01 1 147.65 148.06 146.24 148.34 150.46 146.63
4 131.81 136.07 119.53 130.57 143.35 123.38
64 0.39 0.41 0.45 0.46 0.61 0.42
0.1 1 149.72 149.85 149.61 149.77 150.2 149.58
4 147.27 147.78 146.49 147.99 148.9 146.55
64 56.84 60.87 58.98 56.84 52.13 63.43