High Precision Centroid Location Algorithm Based on Cubic Spline Fitting and Interpolation

Jie Liu; Geng Zhang; Xiangpeng Feng; Zhinan Zhang; Siyuan Li; Bingliang Hu

doi:10.3788/AOS202141.1212004

Acta Optica Sinica, Volume. 41, Issue 12, 1212004(2021)

High Precision Centroid Location Algorithm Based on Cubic Spline Fitting and Interpolation

Jie Liu^1,2、***, Geng Zhang^1、**, Xiangpeng Feng¹, Zhinan Zhang¹, Siyuan Li¹, and Bingliang Hu^1、*

¹Key Laboratory of Spectral Imaging Technology, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an, Shaanxi 710119, China

²University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(12)

Fig. 1. Star centroid location algorithm based on double error suppression

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Fig. 2. The pseudo code of the interpolation fitting part of proposed algorithm

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Fig. 3. Ideal star image. (a) Grayscale image; (b) three-dimensional image

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Fig. 4. RMS of location error with spline fitting under different SNR

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Fig. 5. RMS of location error with spline interpolation under different SNR

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Fig. 6. RMS of location error with different error suppression

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Fig. 7. The maximum location error and minimum error with different error suppression

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Fig. 8. Star image in the instrument

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Fig. 9. Location results of star images in the instrument

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Table 1. Suppression effect of spline fitting on location error under different SNRunit:pixel

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Table 1. Suppression effect of spline fitting on location error under different SNRunit:pixel

SNR	Traditional centroid algorithm				Centroid algorithm with spline fitting
SNR	Δ $\bar{x}$	Δ $\bar{y}$	R_x	R_y	Δ $\bar{x}$	Δ $\bar{y}$	R_x	R_y
5 dB	0.005	0.007	0.289	0.279	0.000	-0.004	0.062	0.066
10 dB	-0.003	0.051	0.052	0.065	0.001	-0.021	0.023	0.051
15 dB	-0.001	0.072	0.041	0.075	0.000	-0.041	0.010	0.045
20 dB	-0.001	0.077	0.036	0.077	0.000	-0.040	0.003	0.041

Table 2. Suppression effect of spline interpolation on location error under different SNRunit:pixel

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Table 2. Suppression effect of spline interpolation on location error under different SNRunit:pixel

SNR	Traditional centroid algorithm				Centroid algorithm with spline fitting
SNR	Δx_min	Δx_max	R_x	R_y	Δx_min	Δx_max	R_x	R_y
5 dB	-0.836	1.007	0.287	0.275	-0.135	0.173	0.040	0.039
10 dB	-0.369	0.155	0.052	0.067	-0.085	0.086	0.028	0.030
15 dB	-0.113	0.106	0.042	0.074	-0.060	0.059	0.024	0.028
20 dB	-0.065	0.060	0.035	0.077	-0.044	0.039	0.021	0.025

Table 3. Location effect with different error suppressionunit:pixel

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Table 3. Location effect with different error suppressionunit:pixel

SNR	Centroid location algorithm				After one error suppression(spline fitting)				After double error suppression(spline fitting,spline interpolation)
SNR	Δx_min	Δx_max	R_x	R_y	Δx_min	Δx_max	R_x	R_y	Δx_min	Δx_max	R_x	R_y
5 dB	-1.075	1.055	0.286	0.280	-0.373	0.191	0.053	0.065	-0.145	0.127	0.035	0.035
10 dB	-0.181	0.364	0.055	0.065	-0.110	0.108	0.023	0.050	-0.075	0.082	0.016	0.016
15 dB	-0.123	0.115	0.041	0.074	-0.041	0.038	0.009	0.050	-0.033	0.031	0.007	0.007
20 dB	-0.068	0.102	0.036	0.073	-0.032	-0.028	0.003	0.050	-0.024	0.019	0.003	0.003

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Jie Liu, Geng Zhang, Xiangpeng Feng, Zhinan Zhang, Siyuan Li, Bingliang Hu. High Precision Centroid Location Algorithm Based on Cubic Spline Fitting and Interpolation[J]. Acta Optica Sinica, 2021, 41(12): 1212004

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Dec. 3, 2020

Accepted: Feb. 1, 2021

Published Online: Jun. 2, 2021

The Author Email: Liu Jie (liujie2015@opt.ac.cn), Zhang Geng (gzhang@opt.ac.cn), Hu Bingliang (hbl@opt.ac.cn)

DOI:10.3788/AOS202141.1212004

Topics

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Instrumentation, Measurement and Metrology