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Table 11 RMSD of positional errors of the proposed 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 0.06 0.05 0.13 0.22 0.37 0.08
4 0.06 0.04 0.14 0.21 0.29 0.07
64 0.32 0.28 0.55 0.31 0.35 0.58
0.01 1 7.29 6.1 8.95 6.16 0.35 6.72
4 0.52 0.43 0.61 0.66 0.3 0.48
64 0.41 0.41 0.65 0.43 0.46 0.73
0.1 1 116.58 119.78 111.97 117.69 135.31 111.44
4 121.03 123.27 109.43 124.5 128.4 109.58
64 12.12 12.37 10.2 9.64 11.72 13.96