A calibration method for paracatadioptric cameras based on circular sections.

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Title: A calibration method for paracatadioptric cameras based on circular sections.
Authors: Yang, Ruiqi1 (AUTHOR), Zhang, Junhua1 (AUTHOR) jhzhang@ynu.edu.cn
Source: Multimedia Tools & Applications. Oct2025, Vol. 84 Issue 33, p41971-41989. 19p.
Subjects: Camera calibration, Three-dimensional imaging, Spherical geometry, Cameras, Conic sections
Abstract: Camera calibration is a crucial step in 3D reconstruction. To improve the reconstruction accuracy, we propose a calibration method for the paracatadioptric camera based on the projective properties of spheres. The starting point of the method is to consider the three great circles that are parallel to the projection of the sphere onto the unit viewing sphere in the imaging model of the paracatadioptric camera. The absolute conic is determined from the orthogonal vanishing points obtained from the intersections of the projections of the three great circles on the image plane. Then, the intrinsic parameters are obtained from the algebraic constraints on the image of the absolute conic. Compared with results obtained by Zhao's, Yu's and Li′s methods, 3D reconstruction using our method appears more accurate. [ABSTRACT FROM AUTHOR]
Copyright of Multimedia Tools & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A calibration method for paracatadioptric cameras based on circular sections.
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  Data: <searchLink fieldCode="AR" term="%22Yang%2C+Ruiqi%22">Yang, Ruiqi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Junhua%22">Zhang, Junhua</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jhzhang@ynu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Multimedia+Tools+%26+Applications%22">Multimedia Tools & Applications</searchLink>. Oct2025, Vol. 84 Issue 33, p41971-41989. 19p.
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  Data: <searchLink fieldCode="DE" term="%22Camera+calibration%22">Camera calibration</searchLink><br /><searchLink fieldCode="DE" term="%22Three-dimensional+imaging%22">Three-dimensional imaging</searchLink><br /><searchLink fieldCode="DE" term="%22Spherical+geometry%22">Spherical geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Cameras%22">Cameras</searchLink><br /><searchLink fieldCode="DE" term="%22Conic+sections%22">Conic sections</searchLink>
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  Label: Abstract
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  Data: Camera calibration is a crucial step in 3D reconstruction. To improve the reconstruction accuracy, we propose a calibration method for the paracatadioptric camera based on the projective properties of spheres. The starting point of the method is to consider the three great circles that are parallel to the projection of the sphere onto the unit viewing sphere in the imaging model of the paracatadioptric camera. The absolute conic is determined from the orthogonal vanishing points obtained from the intersections of the projections of the three great circles on the image plane. Then, the intrinsic parameters are obtained from the algebraic constraints on the image of the absolute conic. Compared with results obtained by Zhao's, Yu's and Li′s methods, 3D reconstruction using our method appears more accurate. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Multimedia Tools & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11042-022-12918-9
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      – Code: eng
        Text: English
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        PageCount: 19
        StartPage: 41971
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      – SubjectFull: Camera calibration
        Type: general
      – SubjectFull: Three-dimensional imaging
        Type: general
      – SubjectFull: Spherical geometry
        Type: general
      – SubjectFull: Cameras
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      – SubjectFull: Conic sections
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      – TitleFull: A calibration method for paracatadioptric cameras based on circular sections.
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              Text: Oct2025
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