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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