Camera calibration based on the property of an asymptote of a circle

The properties of an asymptote of a circle were studied for calibration. Two asymptotes of a circle are tangents at two circular points; thus, the asymptotes and circular points satisfy the pole-polar relationship with respect to the circle. The geometric interpretations and algebraic constraints of the asymptotes were obtained. The image of the circle center was determined because the two asymptotes of the circle intersect at the circle center. Subsequently, a calibration algorithm using at least three circle images was proposed based on the properties of the asymptote. The authenticity and effectiveness of the calibration algorithm were verified experimentally.

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Publication Details

Journal
Applied Optics
Published
2024-12-12
DOI
https://doi.org/10.1364/ao.536683
Primary Topic
Optical measurement and interference techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Camera calibration based on the property of an asymptote of a circle

Yue Zhao, Qing-Feng Zhuo, S. B. Yang
Applied Optics
Optical measurement and interference techniques
article

Camera calibration based on the property of an asymptote of a circle

Yue Zhao, Qing-Feng Zhuo, S. B. Yang
article en

Abstract

The properties of an asymptote of a circle were studied for calibration. Two asymptotes of a circle are tangents at two circular points; thus, the asymptotes and circular points satisfy the pole-polar relationship with respect to the circle. The geometric interpretations and algebraic constraints of the asymptotes were obtained. The image of the circle center was determined because the two asymptotes of the circle intersect at the circle center. Subsequently, a calibration algorithm using at least three circle images was proposed based on the properties of the asymptote. The authenticity and effectiveness of the calibration algorithm were verified experimentally.

Applied OpticsVol. 64(3)
Yunnan University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 77%
Optical measurement and interference techniques
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