Recovering projected centers of circle-pairs with common tangents
Recovering projected centers of circle-pairs with common tangents
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DOI：
10.12783/dtcse/aics2016/8240
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发表时间：
2017-04
期刊：
影响因子：
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通讯作者：
Qian Chen;Haiyuan Wu
中科院分区：
文献类型：
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作者：
Qian Chen;Haiyuan Wu
本文提出了一种从一幅图像中恢复平行圆对投影中心的封闭算法。通过使用圆对的公共切线作为解决问题的关键助手，我们开发了一种算法，该算法仅使用真实的，可见的和具体的几何特征来描述自身和表示中间结果。这使得检查行为或验证中间和最终结果的工作变得容易。这一特性大大提高了我们的算法应用于噪声图像时的可靠性。我们已经使用模拟图像和真实的图像检查了我们的算法在各种相机设置下的行为以及图像噪声的影响，并将我们的算法与使用两个同心圆的算法和使用三个圆的算法进行了比较。
This paper describes a closed-form algorithm of recovering the projected centers of a parallel circle-pair from one image. By using the common tangents of a circle-pair as the key helper for solving the problem, we have developed an algorithm that only uses real, visible and concrete geometrical features for describing itself and for representing the intermediate results. This makes the jobs of checking the behavior or verifying the intermediate and the final results easy. This characteristic greatly improves the reliability of our algorithm when applied to noisy images. We have checked the behavior of our algorithm in various camera settings and the influence of image noise using simulated images and real images, and compared ours with the algorithm that uses two concentric circles and the algorithm that uses three circles.