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Sensors and Materials, Volume 30, Number 5(2) (2018)
Copyright(C) MYU K.K.
pp. 1155-1164
S&M1572 Research Paper of Special Issue
Published: May 31, 2018

Optimization Solution of Laser Plane Generated from Maximum Likelihood Estimation of Projection Plane [PDF]

Guan Xu, Anqi Zheng, Xiaotao Li, and Jian Su

(Received July 18, 2017; Accepted October 4, 2017)

Keywords: active vision, optimization solution, laser plane, MLE

An enhanced solution method, which is based on the maximum likelihood estimation (MLE) of the projection plane, is proposed. The method utilizes a 2D target and an optimization process to achieve a higher accuracy and noise immunity. The projection plane is parameterized by the laser plane coordinates. The maximum likelihood function is obtained from the stochastic vector of the projection planes in the camera coordinate system. The coordinates of the laser plane are achieved by the optimization process. The MLE method is compared with the original method. The experimental results reveal the relative error reductions of 18.97, 19.81, 21.22, and 21.60% under the test distances of 200, 300, 400, and 500 mm, respectively. Moreover, for the images under noise, the results show the relative error reductions of 20.06, 18.77, 19.64, and 20.35%, respectively. The experimental results suggest that the MLE of the projection plane would be useful to improve the measurement accuracy of active vision in both fundamental research and potential applications.

Corresponding author: Xiaotao Li

Cite this article
Guan Xu, Anqi Zheng, Xiaotao Li, and Jian Su, Optimization Solution of Laser Plane Generated from Maximum Likelihood Estimation of Projection Plane, Sens. Mater., Vol. 30, No. 5, 2018, p. 1155-1164.

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