Flexible calibration for nonoverlapping field-of-view camera array with circular coded ring target

Tao Peng; Zhen-Zhen Huang; Dan Zeng; Zhi-Jiang Zhang

doi:10.1007/s40436-025-00584-7

Advances in Manufacturing ›› :1 -18. DOI: 10.1007/s40436-025-00584-7

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Flexible calibration for nonoverlapping field-of-view camera array with circular coded ring target

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¹School of Communication and Information Engineering, Key Lab of Specialty Fiber Optics and Optical Access Networks, Shanghai University, 200444, Shanghai, People’s Republic of China

^a zjzhang@shu.edu.cn

Tao Peng

Tao Peng received B.E. and M.E. degrees from Henan Normal University, Xinxiang, China, in 2014 and 2016, respectively. He is currently pursuing the Ph.D. degree in Communication and Information Engineering from Shanghai University, Shanghai, China. His research interests include optical measurement and machine vision in industrial environments.

Zhen-Zhen Huang

Zhen-Zhen Huang received B.E. and M.E. degrees from Shanghai University, Shanghai, China, in 2019 and 2022, respectively. She is currently pursuing the Ph.D. degree in Communication and Information Engineering from Shanghai University, Shanghai, China. Her research interests include space target pose estimation, imaging processing, and camera calibration.

Dan Zeng

Dan Zeng received B.S. degree in Electronic Science and Technology and Ph.D. degree in Circuits and Systems from the University of Science and Technology of China, Hefei, China, in 2003 and 2008, respectively. Since 2008, she has been teaching with the School of Communication and Information Engineering, Shanghai University and is currently a professor. From 2001 to2004, she was a visiting scholar with the University of Texas, San Antonio, School of Computer Science and the National Scholarship Council. Her research interests include computer vision, machine learning, and multimedia technology.

Zhi-Jiang Zhang

Zhi-Jiang Zhang receive B.E degree from Harbin University of Science and Technology, Heilongjiang, China, in 1991, M.E. and Ph.D. degrees from Harbin University of Technology, Heilongjiang China, in 1996 and 1999, respectively. Since 1999, he has been teaching with the School of Communication and Information Engineering, Shanghai University and is currently a professor. His research interests include image processing, visual inspection, digital holography and 3D display.

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Abstract

The calibration of a camera array with a nonoverlapping field of view is a fundamental task in advanced industrial manufacturing production. This task involves the development of transformation relationships between cameras without a shared field of view. In this study, we propose a circular coded ring target pattern for nonoverlapping observations to provide reliable control points. Precision positioning is addressed by utilizing the multiscale circle characteristic of the pattern and the gradient centroid method to extract the positioning center. The encoding principle ensures the uniqueness of homonymous points. Note that the cameras only require partial observation of the calibration board to deduce their relative positions based on virtual symmetric transfer errors. Additionally, we present an expandable calibration model that is customized for maneuverability in challenging environments. Finally, the reprojection error and geometric constraints are introduced for optimization. We analyze the proposed method in synthetic and practical industrial production applications and achieve good results. This shows that the method is effective and can be adapted for various camera configurations.

Keywords

Camera calibration / Camera array / Nonoverlapping field of view / Virtual symmetric transfer errors / Parameter optimization

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Tao Peng, Zhen-Zhen Huang, Dan Zeng, Zhi-Jiang Zhang. Flexible calibration for nonoverlapping field-of-view camera array with circular coded ring target. Advances in Manufacturing 1-18 DOI:10.1007/s40436-025-00584-7

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