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Table 12 RMSD of positional errors of the proposed 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 0.06 0.05 0.15 0.23 0.36 0.08
4 0.06 0.05 0.15 0.21 0.29 0.08
64 0.32 0.29 0.55 0.31 0.35 0.58
0.01 1 2.91 3.15 4.3 4.55 0.35 2.45
4 0.55 0.5 0.68 0.77 0.29 0.48
64 0.44 0.43 0.66 0.41 0.43 0.67
0.1 1 3.16 2.3 3.94 4.86 0.34 2.32
4 1.58 1.46 2.19 2.09 0.35 1.49
64 1.05 1.04 1.28 0.93 0.92 1.32