Influence of Imaging Parameters on Shape from Focus of Large-Depth Objects

Table 1. Parameter level table
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Table 1. Parameter level table
Number of level Focal length /mm F-number Pixel size /μm
1 8 1.4 3
2 12 2.0 4
3 16 2.8 5

Table 2. Experimental scheme and experimental results
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Table 2. Experimental scheme and experimental results
Test number Focal length Pixel size F-number Blank column E_rms /mm
1 1 1 1 1 7.13
2 1 2 2 2 11.35
3 1 3 3 3 14.28
4 2 1 2 3 3.83
5 2 2 3 2 8.37
6 2 3 1 1 4.86
7 3 1 3 2 2.91
8 3 2 1 3 2.72
9 3 3 2 1 3.48

Table 3. Analysis of experimental results
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Table 3. Analysis of experimental results
Parameter Focal length Pixel size F-number Blank column
K₁ 32.76 13.87 14.71 15.47
K₂ 17.06 22.44 18.66 22.63
K₃ 9.11 22.62 25.56 20.83
k₁ 10.92 4.62 4.90 5.16
k₂ 5.69 7.48 6.22 7.54
k₃ 3.04 7.54 8.52 6.94
Range R 7.88 2.92 3.62 2.38

Table 4. Variation of reconstruction accuracy with focal length

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Table 4. Variation of reconstruction accuracy with focal length

Focal length /mm	E_rms in sampling interval of0.075 m /mm	E_rms in sampling interval of0.100 m /mm	E_rms in sampling interval of0.125 m /mm
12	6.02	10.32	15.30
13	5.90	10.07	15.27
14	5.81	10.06	15.54
15	5.77	10.30	16.31
16	5.84	10.91	17.63

Table 5. Variation of reconstruction accuracy with F-number

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Table 5. Variation of reconstruction accuracy with F-number

F-number	E_rms in sampling interval of0.100 m /mm	E_rms in sampling interval of0.125 m /mm	E_rms in sampling interval of0.150 m /mm
1.0	10.37	16.52	24.15
1.2	10.04	15.47	22.30
1.4	10.10	15.26	21.75
1.6	10.32	15.30	21.70
2.0	10.64	15.90	22.01

Table 6. Proximity of fitting points

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Table 6. Proximity of fitting points

Sampling interval /m	Theoretical result /mm	Actual result /mm	Proximity /%
Average			97.28
0.020	7.028	6.710	95.47
0.025	8.063	7.793	96.65
0.030	9.025	9.189	98.19
0.035	9.915	9.934	99.81
0.040	10.736	10.791	99.49
0.050	12.177	12.948	93.67
0.075	14.695	14.874	98.78
0.100	15.858	15.130	95.41
0.125	15.904	15.429	97.01
0.150	15.074	15.781	95.31
0.200	11.739	11.524	98.17
0.250	7.768	7.935	97.85
0.300	5.076	5.014	98.78

Table 7. Proximity of verification data

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Table 7. Proximity of verification data

Samplinginterval /m	result /mm Theoretical	result /mm Actual	Proximity /%
Average			94.76
0.030	9.025	8.970	99.39
0.040	10.736	12.023	88.01
0.050	12.177	13.143	92.07
0.100	15.858	15.526	97.91
0.125	15.904	15.888	99.90
0.150	15.074	15.781	95.31
0.175	13.606	12.720	93.49
0.200	11.739	10.804	92.03

Table 8. Reconstruction accuracy of optimum depth of field
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Table 8. Reconstruction accuracy of optimum depth of field
Sampling interval /m E_rms for optimum depth of field /mm E_rms for large depth of field /mm E_rms for small depth of field /mm
0.035 1.34 2.16 1.85
0.075 5.77 9.12 8.28
0.125 15.26 20.35 19.12

Table 9. Reconstruction accuracy of optimum depth of field in actual scene
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Table 9. Reconstruction accuracy of optimum depth of field in actual scene
Sampling interval /m E_rms for optimum depth of field /mm E_rms for large depth of field /mm E_rms for small depth of field /mm
0.06 7.03 13.42 8.02
0.08 9.72 36.11 12.67
0.10 13.46 35.46 17.62

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Xiaohua Xia, Yusong Cao, Haoming Xiang, Shuhao Yuan, Zhaokai Ge. Influence of Imaging Parameters on Shape from Focus of Large-Depth Objects[J]. Acta Optica Sinica, 2024, 44(8): 0815001

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