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Table 9 RMSD of positional errors of the proposed detector for the ideal slopes

From: A one-dimensional slope detection approach

Pre-smooth Erf Tanh Sigmoid Ramp Step Arctan
0 0.0092 0.0157 0.1024 0.2116 - 0.0686
1 0.0067 0.0094 0.1024 0.2068 0.3706 0.0682
2 0.0040 0.0049 0.1024 0.2094 0.2950 0.0681
4 0.0018 0.0021 0.1052 0.2065 0.2913 0.0683