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Table 3 RMSD of positional errors of the L x 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

92.1

96.31

88.28

94.26

145.67

95.77

4

8.92

8.14

51.64

13.01

0.58

81.91

64

0.3

0.3

0.3

0.41

0.58

0.3

0.01

1

147.65

148.06

146.24

148.34

150.46

146.63

4

131.81

136.07

119.53

130.57

143.35

123.38

64

0.39

0.41

0.45

0.46

0.61

0.42

0.1

1

149.72

149.85

149.61

149.77

150.2

149.58

4

147.27

147.78

146.49

147.99

148.9

146.55

64

56.84

60.87

58.98

56.84

52.13

63.43