An Auto-Focusing Evaluation Function Adapted to Multi-Directional Gray Gradient Change

Rui Xiong; Naiting Gu; Hongyan Xu

doi:10.3788/LOP202259.0418001

Laser & Optoelectronics Progress, Volume. 59, Issue 4, 0418001(2022)

An Auto-Focusing Evaluation Function Adapted to Multi-Directional Gray Gradient Change

Rui Xiong^1,3、*, Naiting Gu^2,3, and Hongyan Xu^1,3、**

¹Quality Inspection Center, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu , Sichuan 610209, China

²Key Laboratory of Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu , Sichuan 610209, China

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(9)

Fig. 1. Ideal focusing evaluation curve

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Fig. 2. Focus image

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Fig. 3. Focusing evaluation curves of traditional functions

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Fig. 4. Focusing evaluation curves of Brenner function and Brenner2d function

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Fig. 5. Microscopic focus images of groups A, B and C. (a) Group A; (b) group B; (c) group C

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Fig. 6. Normalized focusing evaluation curves of microscopic images of groups A, B and C. (a) Group A; (b) group B; (c) group C

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Table 1. Evaluation indexes of focus evaluation function of group A
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Table 1. Evaluation indexes of focus evaluation function of group A
Function R Ｍ_SE $α$ $β$ $τ$ /ms
SMD 1.68 0.02 4 30 24.93
Roberts 1.93 0.05 0 27 25.29
Sobel 1.93 0.04 0 27 62.18
Brenner 22.17 1.43 0 1 14.57
SML 13.74 5.27 0 1 49.40
Bre2d 2.59 0.09 4 21 26.15
Bre2d_Rob 28.25 1.61 0 1 43.53

Table 2. Evaluation indexes of focus evaluation function of group B
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Table 2. Evaluation indexes of focus evaluation function of group B
Function R Ｍ_SE $α$ $β$ $τ$ /ms
SMD 1.31 0.20 6 36 24.99
Roberts 1.54 0.24 0 8 26.99
Sobel 1.53 0.23 0 14 58.87
Brenner 2.57 0.88 33 1 19.37
SML 20.96 12.46 1 1 36.46
Bre2d 2.40 0.68 3 1 23.90
Bre2d_Rob 41.85 5.27 0 1 42.36

Table 3. Evaluation indexes of focus evaluation function of group C
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Table 3. Evaluation indexes of focus evaluation function of group C
Function R Ｍ_SE $α$ $β$ $τ$ /ms
SMD 1.56 0.07 0 30 24.47
Roberts 1.52 0.07 0 30 25.29
Sobel 1.46 0.02 0 29 67.04
Brenner 17.79 2.02 0 1 15.03
SML 12.97 7.29 7 1 39.03
Bre2d 19.42 2.09 0 1 33.97
Bre2d_Rob 263.16 8.78 0 1 46.30

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Rui Xiong, Naiting Gu, Hongyan Xu. An Auto-Focusing Evaluation Function Adapted to Multi-Directional Gray Gradient Change[J]. Laser & Optoelectronics Progress, 2022, 59(4): 0418001

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