Optimum threshold selection method of centroid computation for Gaussian spot

Xuxu Li; Xinyang Li; Caixia Wang

doi:10.1117/12.2199247

8 October 2015 Optimum threshold selection method of centroid computation for Gaussian spot

Xuxu Li, Xinyang Li, Caixia Wang

Proceedings Volume 9675, AOPC 2015: Image Processing and Analysis; 967517 (2015) https://doi.org/10.1117/12.2199247
Event: Applied Optics and Photonics China (AOPC2015), 2015, Beijing, China

Abstract

Centroid computation of Gaussian spot is often conducted to get the exact position of a target or to measure wave-front slopes in the fields of target tracking and wave-front sensing. Center of Gravity (CoG) is the most traditional method of centroid computation, known as its low algorithmic complexity. However both electronic noise from the detector and photonic noise from the environment reduces its accuracy. In order to improve the accuracy, thresholding is unavoidable before centroid computation, and optimum threshold need to be selected. In this paper, the model of Gaussian spot is established to analyze the performance of optimum threshold under different Signal-to-Noise Ratio (SNR) conditions. Besides, two optimum threshold selection methods are introduced: T_mCoG (using m % of the maximum intensity of spot as threshold), and T_kCoG ( usingμ_n +κσ n as the threshold), μ_n and σ_n are the mean value and deviation of back noise. Firstly, their impact on the detection error under various SNR conditions is simulated respectively to find the way to decide the value of k or m. Then, a comparison between them is made. According to the simulation result, T_mCoG is superior over T_kCoG for the accuracy of selected threshold, and detection error is also lower.

Citation Download Citation

Xuxu Li, Xinyang Li, and Caixia Wang "Optimum threshold selection method of centroid computation for Gaussian spot", Proc. SPIE 9675, AOPC 2015: Image Processing and Analysis, 967517 (8 October 2015); https://doi.org/10.1117/12.2199247

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