A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements

Traditional non-coplanar calibration methods, represented by Tsai’s method, are difficult to apply in multi-camera-based stereo vision measurements because of insufficient calibration accuracy, inconvenient operation, etc. Based on projective theory and matrix transformation theory, a novel mathemat...

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Main Authors: Hao Zheng, Fajie Duan, Tianyu Li, Jiaxin Li, Guangyue Niu, Zhonghai Cheng, Xin Li
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/20/8466
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author Hao Zheng
Fajie Duan
Tianyu Li
Jiaxin Li
Guangyue Niu
Zhonghai Cheng
Xin Li
author_facet Hao Zheng
Fajie Duan
Tianyu Li
Jiaxin Li
Guangyue Niu
Zhonghai Cheng
Xin Li
author_sort Hao Zheng
collection DOAJ
description Traditional non-coplanar calibration methods, represented by Tsai’s method, are difficult to apply in multi-camera-based stereo vision measurements because of insufficient calibration accuracy, inconvenient operation, etc. Based on projective theory and matrix transformation theory, a novel mathematical model is established to characterize the transformation from targets’ 3D affine coordinates to cameras’ image coordinates. Then, novel non-coplanar calibration methods for both monocular and binocular camera systems are proposed in this paper. To further improve the stability and accuracy of calibration methods, a novel circular feature points extraction method based on region Otsu algorithm and radial section scanning method is proposed to precisely extract the circular feature points. Experiments verify that our novel calibration methods are easy to operate, and have better accuracy than several classical methods, including Tsai’s and Zhang’s methods. Intrinsic and extrinsic parameters of multi-camera-systems can be calibrated simultaneously by our methods. Our novel circular feature points extraction algorithm is stable, and with high precision can effectively improve calibration accuracy for coplanar and non-coplanar methods. Real stereo measurement experiments demonstrate that the proposed calibration method and feature extraction method have high accuracy and stability, and can further serve for complicated shape and deformation measurements, for instance, stereo-DIC measurements, etc.
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spelling doaj.art-8aac493b5ca54c11a1b501a7354471cd2023-11-19T18:03:20ZengMDPI AGSensors1424-82202023-10-012320846610.3390/s23208466A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision MeasurementsHao Zheng0Fajie Duan1Tianyu Li2Jiaxin Li3Guangyue Niu4Zhonghai Cheng5Xin Li6State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, ChinaChina North Engine Research Institute, Tianjin 30040, ChinaTraditional non-coplanar calibration methods, represented by Tsai’s method, are difficult to apply in multi-camera-based stereo vision measurements because of insufficient calibration accuracy, inconvenient operation, etc. Based on projective theory and matrix transformation theory, a novel mathematical model is established to characterize the transformation from targets’ 3D affine coordinates to cameras’ image coordinates. Then, novel non-coplanar calibration methods for both monocular and binocular camera systems are proposed in this paper. To further improve the stability and accuracy of calibration methods, a novel circular feature points extraction method based on region Otsu algorithm and radial section scanning method is proposed to precisely extract the circular feature points. Experiments verify that our novel calibration methods are easy to operate, and have better accuracy than several classical methods, including Tsai’s and Zhang’s methods. Intrinsic and extrinsic parameters of multi-camera-systems can be calibrated simultaneously by our methods. Our novel circular feature points extraction algorithm is stable, and with high precision can effectively improve calibration accuracy for coplanar and non-coplanar methods. Real stereo measurement experiments demonstrate that the proposed calibration method and feature extraction method have high accuracy and stability, and can further serve for complicated shape and deformation measurements, for instance, stereo-DIC measurements, etc.https://www.mdpi.com/1424-8220/23/20/8466camera calibrationnon-coplanar calibration methodcircular centers feature extractionmonocular and binocular sensing systemsstereo-DIC measurements
spellingShingle Hao Zheng
Fajie Duan
Tianyu Li
Jiaxin Li
Guangyue Niu
Zhonghai Cheng
Xin Li
A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements
Sensors
camera calibration
non-coplanar calibration method
circular centers feature extraction
monocular and binocular sensing systems
stereo-DIC measurements
title A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements
title_full A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements
title_fullStr A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements
title_full_unstemmed A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements
title_short A Stable, Efficient, and High-Precision Non-Coplanar Calibration Method: Applied for Multi-Camera-Based Stereo Vision Measurements
title_sort stable efficient and high precision non coplanar calibration method applied for multi camera based stereo vision measurements
topic camera calibration
non-coplanar calibration method
circular centers feature extraction
monocular and binocular sensing systems
stereo-DIC measurements
url https://www.mdpi.com/1424-8220/23/20/8466
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