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Table 4 RMSD of positional errors of the L x detector for the noisy ideal slopes, considering noise threshold

From: A one-dimensional slope detection approach

std n

Pre-smooth

Erf

Tanh

Sigmoid

Ramp

Step

Arctan

0.001

1

34.64

33.4

52.53

16.65

0.58

56.26

4

8.64

4.5

47.17

12.76

0.57

75.2

64

0.28

0.28

0.29

0.4

0.57

0.29

0.01

1

24.53

21.04

39.43

15.36

0.58

38.86

4

15.08

10.36

33.27

14.11

0.57

38.06

64

0.39

0.41

0.47

0.46

0.58

0.47

0.1

1

21.34

20.04

47.93

15.17

0.57

51.45

4

10.4

8

28

11.54

0.58

30.67

64

1.05

0.95

1.2

0.86

0.89

1.15