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Table 8 RMSD of positional errors of the L x detector for the ideal slopes

From: A one-dimensional slope detection approach

Pre-smooth Erf Tanh Sigmoid Ramp Step Arctan
0 0.2859 0.2859 0.2861 16.9743 - 0.2859
1 0.2859 0.2859 0.2861 14.3276 0.5836 0.2859
2 0.2859 0.2859 0.2861 10.8449 0.5857 0.2860
4 0.2859 0.2859 0.2861 4.2151 0.5558 0.2860