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

Journals >Acta Optica Sinica >Volume 41 >Issue 12 >Page 1212004 > Article

Acta Optica Sinica
Vol. 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、*

Author Affiliations

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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DOI: 10.3788/AOS202141.1212004 Cite this Article Set citation alerts

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 Copy Citation Text

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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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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 1. Suppression effect of spline fitting 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 2. Suppression effect of spline interpolation on location error under different SNRunit: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

Table 3. Location effect with different error suppressionunit:pixel

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