Comparison Research of Interpolation Algorithms for Division of Focal Plane Polarization Image

Feng Zhao; Ximeng Cheng; Bin Feng; Yue Dong; Rong Wu

doi:10.3788/LOP57.161014

Laser & Optoelectronics Progress, Volume. 57, Issue 16, 161014(2020)

Comparison Research of Interpolation Algorithms for Division of Focal Plane Polarization Image

Feng Zhao^、*, Ximeng Cheng², Bin Feng³, Yue Dong¹, and Rong Wu¹

Author Affiliations

¹School of Electronic Engineering, Xi'an University of Posts & Telecommunications, Xi'an, Shaanxi 710121, China;

²School of Automation, Xi'an University of Posts & Telecommunications, Xi'an, Shaanxi 710121, China;

³School of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710129, China

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Figures & Tables(11)

Fig. 1. Structure of DoFP polarization detector

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Fig. 2. Schematic diagram of sliding window algorithm for DoFP polarization image. (a) LU; (b) RU; (c) LD; (d) RD

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Fig. 3. Schematic diagram of bilinear interpolation algorithm for DoFP polarization image

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Fig. 4. Schematic representation of 3 pixel×3 pixel area in DoFP polarization image

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Fig. 5. Three cases of edge. (a) case Ⅰ; (b) case Ⅱ; (c) case Ⅲ

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Fig. 6. Experimental results of the first group. (a) Bilinear interpolation algorithm; (b) sliding window algorithm

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Fig. 7. Statistical histograms of first group DoLP images. (a) Bilinear interpolation algorithm; (b) sliding window algorithm

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Fig. 8. Experimental results of the second group. (a) Bilinear interpolation algorithm; (b) sliding window algorithm

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Fig. 9. Statistical histograms of second group DoLP images. (a) Bilinear interpolation algorithm; (b) sliding window algorithm

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Table 1. Calculation results of three edge cases

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Table 1. Calculation results of three edge cases

Case	Sliding window	Bilinear interpolation
CaseⅠ	S₀=a+bS₁=a-bS₂=a-bD_oLP=( $\sqrt[]{2}$ \|a-b\|)/(a+b)	S₀=(3a+b)/2S₁=(a-b)/2S₂=(a-b)/2D_oLP=( $\sqrt[]{2}$ \|a-b\|)/(3a+b)
Case Ⅱ	S₀=(3a+b)/2S₁=a-bS₂=0D_oLP=(6\|a-b\|)/(9a+3b)	S₀=(3a+3b)/8S₁=(a-b)/2S₂=(a-b)/4D_oLP=(2 $\sqrt[]{5}$ \|a-b\|)/(9a+3b)
Case Ⅲ	S₀=(3a+b)/2S₁=a-bS₂=0D_oLP=(2\|a-b\|)/(0a+3b)	S₀=(5a+3b)/4S₁=(a-b)/2S₂=(a-b)/2D_oLP=(2\|a-b\|)/(5a+3b)

Table 2. Mean values of DoLP images processed by two algorithms
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Table 2. Mean values of DoLP images processed by two algorithms
DoLP image Bilinear interpolation Sliding window
1 0.1624 0.1754
2 0.1599 0.1721
3 0.1344 0.1504
4 0.1224 0.1335
5 0.0404 0.0488
6 0.0935 0.0958
7 0.0772 0.0795
8 0.0594 0.0614
9 0.0669 0.0701

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Feng Zhao, Ximeng Cheng, Bin Feng, Yue Dong, Rong Wu. Comparison Research of Interpolation Algorithms for Division of Focal Plane Polarization Image[J]. Laser & Optoelectronics Progress, 2020, 57(16): 161014

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