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A one-step calibration method without redundant parameters for a laser stripe sensor

Published online by Cambridge University Press:  08 January 2024

Yang Mao
School of Mechanical and Automation Engineering, Shanghai Institute of Technology, Shanghai, China
Yu He
School of Mechanical and Automation Engineering, Shanghai Institute of Technology, Shanghai, China
Chengyi Yu
Shanghai Satellite Equipment Research Institute, Shanghai, China
Honghui Zhang
Shanghai Platform for Smart Manufacturing, Shanghai, China
Ke Zhang*
School of Mechanical and Automation Engineering, Shanghai Institute of Technology, Shanghai, China
Xiaojun Sun
Shanghai Waigaoqiao Shipbuilding Co., Ltd., Shanghai, China
Corresponding author: Ke Zhang; Email:


A laser stripe sensor has two kinds of calibration methods. One is based on the homography model between the laser stripe plane and the image plane, which is called the one-step calibration method. The other is based on the simple triangular method, which is named as the two-step calibration method. However, the geometrical meaning of each element in the one-step calibration method is not clear as that in the two-step calibration method. A novel mathematical derivation is presented to reveal the geometrical meaning of each parameter in the one-step calibration method, and then the comparative study of the one-step calibration method and the two-step calibration method is completed and the intrinsic relationship is derived. What is more, a one-step calibration method is proposed with 7 independent parameters rather than 11 independent parameters. Experiments are conducted to verify the accuracy and robust of the proposed calibration method.

Research Article
Copyright © The Author(s), 2024. Published by Cambridge University Press

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