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Table 5 statistics of Lxs / Lx for various slope functions

From: A one-dimensional slope detection approach

Edge

Min

Max

Mean

Std

Erf

0.6381

0.6891

0.6637

0.0149

tanh

0.6169

0.9932

0.6488

0.0503

sigmoid

0.4503

0.6705

0.6398

0.0193

ramp

0.7768

0.8565

0.8134

0.0221

step

0.6429

0.6429

0.6429

0

arctan

0.5531

0.9968

0.5798

0.0522