Geometrical Calibration of a 2.5D Periapical Radiography System

The objective of this study was to develop a geometrical calibration method applicable to the 2.5D prototype Periapical Radiography System and estimate component position errors. A two-steel-ball phantom with a precisely known position was placed in front of a digital X-ray sensor for two-stage cali...

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Main Authors: Che-Wei Liao, Ming-Tzu Tsai, Heng-Li Huang, Lih-Jyh Fuh, Yen-Lin Liu, Zhi-Teng Su, Jui-Ting Hsu
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/3/906
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author Che-Wei Liao
Ming-Tzu Tsai
Heng-Li Huang
Lih-Jyh Fuh
Yen-Lin Liu
Zhi-Teng Su
Jui-Ting Hsu
author_facet Che-Wei Liao
Ming-Tzu Tsai
Heng-Li Huang
Lih-Jyh Fuh
Yen-Lin Liu
Zhi-Teng Su
Jui-Ting Hsu
author_sort Che-Wei Liao
collection DOAJ
description The objective of this study was to develop a geometrical calibration method applicable to the 2.5D prototype Periapical Radiography System and estimate component position errors. A two-steel-ball phantom with a precisely known position was placed in front of a digital X-ray sensor for two-stage calibration. In the first stage, the following three parameters were estimated: (1) r, the distance between the focal spot and the rotation axis of the X-ray tube; (2) &#968;, the included angle between the straight line formed by the X-ray tube&#8217;s focal spot and rotation axis and the straight line of the orthogonal sensor; and (3) L<sub>4</sub>, the distance between the rotation axis and the plane where the two steel balls were positioned. In the second stage, the steel balls&#8217; positions were determined to calculate the positions of the X-ray tube on the x, y, and z axes. Computer simulation was used to verify the accuracy of the calibration method. The results indicate that for the calibration approach proposed in this study, the differences between the estimated errors and setting errors were smaller than 0.15% in the first and second stages, which is highly accurate, verifying its applicability to accurate calibration of the 2.5D Periapical Radiography System.
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spelling doaj.art-5ca30a7bf1b741e99acbfe6a385a482a2022-12-21T19:07:05ZengMDPI AGApplied Sciences2076-34172020-01-0110390610.3390/app10030906app10030906Geometrical Calibration of a 2.5D Periapical Radiography SystemChe-Wei Liao0Ming-Tzu Tsai1Heng-Li Huang2Lih-Jyh Fuh3Yen-Lin Liu4Zhi-Teng Su5Jui-Ting Hsu6Graduate Institute of Biomedical Sciences, China Medical University, Taichung 404, TaiwanDepartment of Biomedical Engineering, Hungkuang University, Taichung 433, TaiwanSchool of Dentistry, College of Dentistry, China Medical University, Taichung 404, TaiwanSchool of Dentistry, College of Dentistry, China Medical University, Taichung 404, TaiwanDepartment of Biomedical Imaging and Radiological Science, China Medical University, Taichung 404, TaiwanSchool of Dentistry, College of Dentistry, China Medical University, Taichung 404, TaiwanSchool of Dentistry, College of Dentistry, China Medical University, Taichung 404, TaiwanThe objective of this study was to develop a geometrical calibration method applicable to the 2.5D prototype Periapical Radiography System and estimate component position errors. A two-steel-ball phantom with a precisely known position was placed in front of a digital X-ray sensor for two-stage calibration. In the first stage, the following three parameters were estimated: (1) r, the distance between the focal spot and the rotation axis of the X-ray tube; (2) &#968;, the included angle between the straight line formed by the X-ray tube&#8217;s focal spot and rotation axis and the straight line of the orthogonal sensor; and (3) L<sub>4</sub>, the distance between the rotation axis and the plane where the two steel balls were positioned. In the second stage, the steel balls&#8217; positions were determined to calculate the positions of the X-ray tube on the x, y, and z axes. Computer simulation was used to verify the accuracy of the calibration method. The results indicate that for the calibration approach proposed in this study, the differences between the estimated errors and setting errors were smaller than 0.15% in the first and second stages, which is highly accurate, verifying its applicability to accurate calibration of the 2.5D Periapical Radiography System.https://www.mdpi.com/2076-3417/10/3/906geometric calibrationperiapical radiographycomputed tomosynthesisquasi-3d imaging2.5d
spellingShingle Che-Wei Liao
Ming-Tzu Tsai
Heng-Li Huang
Lih-Jyh Fuh
Yen-Lin Liu
Zhi-Teng Su
Jui-Ting Hsu
Geometrical Calibration of a 2.5D Periapical Radiography System
Applied Sciences
geometric calibration
periapical radiography
computed tomosynthesis
quasi-3d imaging
2.5d
title Geometrical Calibration of a 2.5D Periapical Radiography System
title_full Geometrical Calibration of a 2.5D Periapical Radiography System
title_fullStr Geometrical Calibration of a 2.5D Periapical Radiography System
title_full_unstemmed Geometrical Calibration of a 2.5D Periapical Radiography System
title_short Geometrical Calibration of a 2.5D Periapical Radiography System
title_sort geometrical calibration of a 2 5d periapical radiography system
topic geometric calibration
periapical radiography
computed tomosynthesis
quasi-3d imaging
2.5d
url https://www.mdpi.com/2076-3417/10/3/906
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