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Table 4 RMSD of positional errors of the L x detector for the noisy ideal slopes, considering noise threshold

From: A one-dimensional slope detection approach

std n Pre-smooth Erf Tanh Sigmoid Ramp Step Arctan
0.001 1 34.64 33.4 52.53 16.65 0.58 56.26
4 8.64 4.5 47.17 12.76 0.57 75.2
64 0.28 0.28 0.29 0.4 0.57 0.29
0.01 1 24.53 21.04 39.43 15.36 0.58 38.86
4 15.08 10.36 33.27 14.11 0.57 38.06
64 0.39 0.41 0.47 0.46 0.58 0.47
0.1 1 21.34 20.04 47.93 15.17 0.57 51.45
4 10.4 8 28 11.54 0.58 30.67
64 1.05 0.95 1.2 0.86 0.89 1.15