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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