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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Format: | Article |
Language: | English |
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MDPI AG
2023-10-01
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Series: | Sensors |
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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. |
first_indexed | 2024-03-10T20:54:50Z |
format | Article |
id | doaj.art-8aac493b5ca54c11a1b501a7354471cd |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-03-10T20:54:50Z |
publishDate | 2023-10-01 |
publisher | MDPI AG |
record_format | Article |
series | Sensors |
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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